Alpay, Daniel; Bhattacharyya, Tirthankar; Jindal, Abhay; Kumar, Poornendu A dilation theoretic approach to approximation by inner functions. (English) Zbl 07779849 Bull. Lond. Math. Soc. 55, No. 6, 2840-2855 (2023). MSC: 47A20 30E10 93B28 47A56 PDFBibTeX XMLCite \textit{D. Alpay} et al., Bull. Lond. Math. Soc. 55, No. 6, 2840--2855 (2023; Zbl 07779849) Full Text: DOI arXiv
Guiver, Chris; Opmeer, Mark R. Representations and regularity of vector-valued right-shift invariant operators between half-line Bessel potential spaces. (English) Zbl 07752343 Integral Equations Oper. Theory 95, No. 3, Paper No. 19, 34 p. (2023). MSC: 47A15 47A30 47A56 47N70 44A10 93B28 93C05 93C20 93D05 93D25 PDFBibTeX XMLCite \textit{C. Guiver} and \textit{M. R. Opmeer}, Integral Equations Oper. Theory 95, No. 3, Paper No. 19, 34 p. (2023; Zbl 07752343) Full Text: DOI
Porat, Motke; Vinnikov, Victor Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions. (English) Zbl 1521.16014 Integral Equations Oper. Theory 95, No. 1, Paper No. 1, 58 p. (2023). Reviewer: Wen-Fong Ke (Tainan) MSC: 16K40 47A56 93C35 16R50 46L54 90C22 PDFBibTeX XMLCite \textit{M. Porat} and \textit{V. Vinnikov}, Integral Equations Oper. Theory 95, No. 1, Paper No. 1, 58 p. (2023; Zbl 1521.16014) Full Text: DOI arXiv
Zhan, Xuzhou; Hu, Yongjian On the relation between Hurwitz stability of matrix polynomials and matrix-valued Stieltjes functions. (English) Zbl 1524.30015 J. Comput. Appl. Math. 417, Article ID 114614, 16 p. (2023). MSC: 30C15 15A54 47A56 65F60 65F99 93D20 PDFBibTeX XMLCite \textit{X. Zhan} and \textit{Y. Hu}, J. Comput. Appl. Math. 417, Article ID 114614, 16 p. (2023; Zbl 1524.30015) Full Text: DOI
Hadimani, Shrinath; Basavaraju, Pallavi; Jayaraman, Sachindranath Spectral bounds for certain special type of matrix rational functions. arXiv:2302.02894 Preprint, arXiv:2302.02894 [math.SP] (2023). MSC: 15A18 15A42 15A22 93B18 47A56 BibTeX Cite \textit{S. Hadimani} et al., ``Spectral bounds for certain special type of matrix rational functions'', Preprint, arXiv:2302.02894 [math.SP] (2023) Full Text: arXiv OA License
Lilleberg, Lassi Factorizations of generalized Schur functions and products of passive systems. (English) Zbl 1513.47027 Methods Funct. Anal. Topol. 28, No. 1, 66-88 (2022). MSC: 47A48 47A56 47B50 93B28 PDFBibTeX XMLCite \textit{L. Lilleberg}, Methods Funct. Anal. Topol. 28, No. 1, 66--88 (2022; Zbl 1513.47027) Full Text: DOI
Frazho, A. E.; Kaashoek, M. A.; van Schagen, F. Solving continuous time Leech problems for rational operator functions. (English) Zbl 1507.47034 Integral Equations Oper. Theory 94, No. 3, Paper No. 32, 37 p. (2022). MSC: 47A56 47A48 47A57 47A62 47B35 93B28 PDFBibTeX XMLCite \textit{A. E. Frazho} et al., Integral Equations Oper. Theory 94, No. 3, Paper No. 32, 37 p. (2022; Zbl 1507.47034) Full Text: DOI
Ball, J. A.; ter Horst, S.; Kurula, M. The infinite-dimensional standard and strict bounded real lemmas in continuous time: the storage function approach. (English) Zbl 1500.47023 Complex Anal. Oper. Theory 16, No. 6, Paper No. 84, 77 p. (2022). MSC: 47A63 47A48 47A56 93B28 93C05 93D25 PDFBibTeX XMLCite \textit{J. A. Ball} et al., Complex Anal. Oper. Theory 16, No. 6, Paper No. 84, 77 p. (2022; Zbl 1500.47023) Full Text: DOI arXiv
Porat, Motke; Vinnikov, Victor Realizations of non-commutative rational functions around a matrix centre. I: synthesis, minimal realizations and evaluation on stably finite algebras. (English) Zbl 1494.16017 J. Lond. Math. Soc., II. Ser. 104, No. 3, 1250-1299 (2021). Reviewer: Adam Chapman (Tel Hai) MSC: 16K40 47A56 93C35 16R50 46L54 90C22 PDFBibTeX XMLCite \textit{M. Porat} and \textit{V. Vinnikov}, J. Lond. Math. Soc., II. Ser. 104, No. 3, 1250--1299 (2021; Zbl 1494.16017) Full Text: DOI arXiv
Stefan, Anthony; Welters, Aaron A short proof of the symmetric determinantal representation of polynomials. (English) Zbl 1472.32001 Linear Algebra Appl. 627, 80-93 (2021). Reviewer: Mihai Putinar (Santa Barbara) MSC: 32A08 15A15 15A22 47A56 47A13 93B25 PDFBibTeX XMLCite \textit{A. Stefan} and \textit{A. Welters}, Linear Algebra Appl. 627, 80--93 (2021; Zbl 1472.32001) Full Text: DOI arXiv
Lewkowicz, Izchak Passive linear discrete-time systems: characterization through structure. (English) Zbl 1466.15024 Linear Algebra Appl. 623, 299-315 (2021). MSC: 15A60 15B99 26C15 47L07 47A56 47N70 93B15 PDFBibTeX XMLCite \textit{I. Lewkowicz}, Linear Algebra Appl. 623, 299--315 (2021; Zbl 1466.15024) Full Text: DOI arXiv
Liu, Shu Tang; Zhang, Yong Ping; Liu, Chang An Fractal control and its applications. (English) Zbl 1508.93001 Singapore: Springer (ISBN 978-981-15-5458-2/hbk; 978-981-15-5461-2/pbk; 978-981-15-5459-9/ebook). xv, 353 p. (2020). MSC: 93-01 93C55 92D25 92D30 34A08 34H05 34H10 26A33 28A80 37F10 37N35 37N25 PDFBibTeX XMLCite \textit{S. T. Liu} et al., Fractal control and its applications. Singapore: Springer (2020; Zbl 1508.93001) Full Text: DOI
Lilleberg, Lassi Generalized Schur-Nevanlinna functions and their realizations. (English) Zbl 1514.47019 Integral Equations Oper. Theory 92, No. 5, Paper No. 42, 28 p. (2020). MSC: 47A48 47A56 47B50 93B28 PDFBibTeX XMLCite \textit{L. Lilleberg}, Integral Equations Oper. Theory 92, No. 5, Paper No. 42, 28 p. (2020; Zbl 1514.47019) Full Text: DOI
Arlinskiĭ, Yuri M. Compressed resolvents, Schur functions, Nevanlinna families and their transformations. (English) Zbl 07259473 Complex Anal. Oper. Theory 14, No. 6, Paper No. 63, 59 p. (2020). MSC: 47A48 93B28 93C25 47A56 93B20 PDFBibTeX XMLCite \textit{Y. M. Arlinskiĭ}, Complex Anal. Oper. Theory 14, No. 6, Paper No. 63, 59 p. (2020; Zbl 07259473) Full Text: DOI
Lilleberg, Lassi Minimal passive realizations of generalized Schur functions in Pontryagin spaces. (English) Zbl 1442.47005 Complex Anal. Oper. Theory 14, No. 2, Paper No. 35, 34 p. (2020). MSC: 47A48 47A56 47B50 93B05 93B07 93B28 PDFBibTeX XMLCite \textit{L. Lilleberg}, Complex Anal. Oper. Theory 14, No. 2, Paper No. 35, 34 p. (2020; Zbl 1442.47005) Full Text: DOI arXiv
Lewkowicz, I. A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems. arXiv:2008.04635 Preprint, arXiv:2008.04635 [math.OC] (2020). MSC: 15A60 26C15 47L07 47A56 47N70 93B15 BibTeX Cite \textit{I. Lewkowicz}, ``A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems'', Preprint, arXiv:2008.04635 [math.OC] (2020) Full Text: arXiv OA License
Zhan, Xuzhou Herglotz-Nevanlinna matrix functions and Hurwitz stability of matrix polynomials. arXiv:2006.16065 Preprint, arXiv:2006.16065 [math.CA] (2020). MSC: 34D20 47A56 30C15 93D20 26C15 15A24 BibTeX Cite \textit{X. Zhan}, ``Herglotz-Nevanlinna matrix functions and Hurwitz stability of matrix polynomials'', Preprint, arXiv:2006.16065 [math.CA] (2020) Full Text: arXiv OA License
Zhou, Jun; Duan, Zhaoxia Partial and local argument properties of holomorphic and meromorphic complex functions in several variables. (English) Zbl 1435.32003 Math. Probl. Eng. 2019, Article ID 7971495, 10 p. (2019). MSC: 32A10 93D20 32A20 93D10 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{Z. Duan}, Math. Probl. Eng. 2019, Article ID 7971495, 10 p. (2019; Zbl 1435.32003) Full Text: DOI
Opmeer, Mark R.; Staffans, Olof J. Optimal control on the doubly infinite time axis for well-posed linear systems. (English) Zbl 1420.49035 SIAM J. Control Optim. 57, No. 3, 1985-2015 (2019). MSC: 49N10 47N70 47A48 47A56 47A62 93B28 93C05 93C25 93D15 93D25 PDFBibTeX XMLCite \textit{M. R. Opmeer} and \textit{O. J. Staffans}, SIAM J. Control Optim. 57, No. 3, 1985--2015 (2019; Zbl 1420.49035) Full Text: DOI
Vladimirov, Igor G.; James, Matthew R.; Petersen, Ian R. Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria. arXiv:1912.11687 Preprint, arXiv:1912.11687 [quant-ph] (2019). MSC: 81Q93 81S25 81S05 81S22 81P16 81Q10 60G15 45P05 15A16 15A24 47A56 49N35 93B52 49K15 BibTeX Cite \textit{I. G. Vladimirov} et al., ``Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria'', Preprint, arXiv:1912.11687 [quant-ph] (2019) Full Text: arXiv OA License
Ball, J. A.; Groenewald, G. J.; ter Horst, S. Standard versus strict bounded real lemma with infinite-dimensional state space. III: The dichotomous and bicausal cases. (English) Zbl 1454.47021 Bart, Harm (ed.) et al., Operator theory, analysis and the state space approach. In honor of Rien Kaashoek. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 271, 23-73 (2018). MSC: 47A63 47A48 93B20 93C55 47A56 PDFBibTeX XMLCite \textit{J. A. Ball} et al., Oper. Theory: Adv. Appl. 271, 23--73 (2018; Zbl 1454.47021) Full Text: DOI arXiv
Liu, Shu-Tang; Wang, Pei Fractal control theory. (English) Zbl 1442.37004 Singapore: Springer (ISBN 978-981-10-7049-5/hbk; 978-981-13-3909-7/pbk; 978-981-10-7050-1/ebook). xiv, 293 p. (2018). Reviewer: Bilel Selmi (Monastir) MSC: 37-02 28-02 93-02 37F10 28A80 37N35 PDFBibTeX XMLCite \textit{S.-T. Liu} and \textit{P. Wang}, Fractal control theory. Singapore: Springer (2018; Zbl 1442.37004) Full Text: DOI
Kaashoek, M. A.; van Schagen, F. Errata to: “The Ellis-Gohberg inverse problem for matrix-valued Wiener functions on the line”. (English) Zbl 1448.47023 Oper. Matrices 12, No. 4, 1199-1200 (2018). MSC: 47A56 47B35 47A48 93B15 15A06 PDFBibTeX XMLCite \textit{M. A. Kaashoek} and \textit{F. van Schagen}, Oper. Matrices 12, No. 4, 1199--1200 (2018; Zbl 1448.47023) Full Text: DOI
Ball, Joseph A.; Groenewald, Gilbert J.; ter Horst, Sanne Standard versus strict bounded real lemma with infinite-dimensional state space. I: The state-space-similarity approach. (English) Zbl 1449.47034 J. Oper. Theory 80, No. 1, 225-253 (2018). MSC: 47A63 47A48 93B20 93C55 47A56 PDFBibTeX XMLCite \textit{J. A. Ball} et al., J. Oper. Theory 80, No. 1, 225--253 (2018; Zbl 1449.47034) Full Text: DOI arXiv
Volčič, Jurij Matrix coefficient realization theory of noncommutative rational functions. (English) Zbl 1441.16030 J. Algebra 499, 397-437 (2018). MSC: 16S85 47A56 16R50 93B20 PDFBibTeX XMLCite \textit{J. Volčič}, J. Algebra 499, 397--437 (2018; Zbl 1441.16030) Full Text: DOI arXiv
Ball, J. A.; Groenewald, G. J.; ter Horst, S. Standard versus Bounded Real Lemma with infinite-dimensional state space II: The storage function approach. arXiv:1804.08505 Preprint, arXiv:1804.08505 [math.FA] (2018). MSC: 47A63 47A48 93B20 93C55 47A56 BibTeX Cite \textit{J. A. Ball} et al., ``Standard versus Bounded Real Lemma with infinite-dimensional state space II: The storage function approach'', Preprint, arXiv:1804.08505 [math.FA] (2018) Full Text: arXiv OA License
Arlinskiĭ, Yury; Hassi, Seppo Holomorphic operator valued functions generated by passive selfadjoint systems. arXiv:1801.10499 Preprint, arXiv:1801.10499 [math.FA] (2018). MSC: 47A48 93B28 93C25 47A56 93B20 BibTeX Cite \textit{Y. Arlinskiĭ} and \textit{S. Hassi}, ``Holomorphic operator valued functions generated by passive selfadjoint systems'', Preprint, arXiv:1801.10499 [math.FA] (2018) Full Text: arXiv OA License
Guiver, C.; Logemann, H.; Opmeer, M. R. Transfer functions of infinite-dimensional systems: positive realness and stabilization. (English) Zbl 1386.93233 Math. Control Signals Syst. 29, No. 4, Paper No. 2, 61 p. (2017). MSC: 93D15 47A56 47N70 93B28 93C05 93C20 93D25 PDFBibTeX XMLCite \textit{C. Guiver} et al., Math. Control Signals Syst. 29, No. 4, Paper No. 2, 61 p. (2017; Zbl 1386.93233) Full Text: DOI
Volčič, Jurij On domains of noncommutative rational functions. (English) Zbl 1376.16022 Linear Algebra Appl. 516, 69-81 (2017). MSC: 16S38 15A54 16S10 47A56 93B20 93B55 PDFBibTeX XMLCite \textit{J. Volčič}, Linear Algebra Appl. 516, 69--81 (2017; Zbl 1376.16022) Full Text: DOI arXiv
El-Sayed, A. M. A.; Salman, S. M. Dynamic behavior and chaos control in a complex Riccati-type map. (English) Zbl 1425.37033 Quaest. Math. 39, No. 5, 665-681 (2016). MSC: 37F10 93B52 93C55 93D15 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} and \textit{S. M. Salman}, Quaest. Math. 39, No. 5, 665--681 (2016; Zbl 1425.37033) Full Text: DOI
Wang, Pei; Liu, Shutang Control of Julia sets in generalized alternated system. (English) Zbl 1379.37146 Asian J. Control 18, No. 6, 2234-2243 (2016). MSC: 37N35 37F10 93C55 PDFBibTeX XMLCite \textit{P. Wang} and \textit{S. Liu}, Asian J. Control 18, No. 6, 2234--2243 (2016; Zbl 1379.37146) Full Text: DOI
Kaashoek, M. A.; van Schagen, F. The Ellis-Gohberg inverse problem for matrix-valued Wiener functions on the line. (English) Zbl 1368.47012 Oper. Matrices 10, No. 4, 1009-1042 (2016); errata ibid. 12, No. 4, 1199-1200 (2018). MSC: 47A56 47B35 47A48 93B15 15A06 PDFBibTeX XMLCite \textit{M. A. Kaashoek} and \textit{F. van Schagen}, Oper. Matrices 10, No. 4, 1009--1042 (2016; Zbl 1368.47012) Full Text: DOI
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. Generalized solutions of Riccati equalities and inequalities. (English) Zbl 1363.47017 Methods Funct. Anal. Topol. 22, No. 2, 95-116 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47A48 47A62 47A56 93C55 PDFBibTeX XMLCite \textit{D. Z. Arov} et al., Methods Funct. Anal. Topol. 22, No. 2, 95--116 (2016; Zbl 1363.47017) Full Text: arXiv
Antoulas, A. C. The Loewner framework and transfer functions of singular/rectangular systems. (English) Zbl 1364.93111 Appl. Math. Lett. 54, 36-47 (2016). MSC: 93B11 30E05 47A56 47A57 PDFBibTeX XMLCite \textit{A. C. Antoulas}, Appl. Math. Lett. 54, 36--47 (2016; Zbl 1364.93111) Full Text: DOI
Frazho, A. E.; ter Horst, S.; Kaashoek, M. A. State space formulas for a suboptimal rational Leech problem. II: parametrization of all solutions. (English) Zbl 06767992 Alpay, Daniel (ed.) et al., Recent advances in inverse scattering, Schur analysis and stochastic processes. A collection of papers dedicated to Lev Sakhnovich. Cham: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 244, 149-179 (2015). MSC: 47A57 47A68 93B15 47A56 PDFBibTeX XMLCite \textit{A. E. Frazho} et al., Oper. Theory: Adv. Appl. 244, 149--179 (2015; Zbl 06767992) Full Text: DOI arXiv
Sun, Junwei; Cui, Guangzhao; Wang, Yanfeng; Shen, Yi Combination complex synchronization of three chaotic complex systems. (English) Zbl 1345.34101 Nonlinear Dyn. 79, No. 2, 953-965 (2015). MSC: 34D06 93C15 34C28 37F10 37D45 37M05 37N35 34M99 PDFBibTeX XMLCite \textit{J. Sun} et al., Nonlinear Dyn. 79, No. 2, 953--965 (2015; Zbl 1345.34101) Full Text: DOI
Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Sadosky, Cora; Vinnikov, Victor Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces. (English) Zbl 1317.47006 Complex Anal. Oper. Theory 9, No. 4, 827-931 (2015). MSC: 47A13 47A48 47A56 46E22 93C55 PDFBibTeX XMLCite \textit{J. A. Ball} et al., Complex Anal. Oper. Theory 9, No. 4, 827--931 (2015; Zbl 1317.47006) Full Text: DOI arXiv
Bharali, Gautam A family of domains associated with \(\mu\)-synthesis. (English) Zbl 1317.30048 Integral Equations Oper. Theory 82, No. 2, 267-285 (2015). MSC: 30E05 32F45 47A56 93D21 PDFBibTeX XMLCite \textit{G. Bharali}, Integral Equations Oper. Theory 82, No. 2, 267--285 (2015; Zbl 1317.30048) Full Text: DOI arXiv
Bora, Shreemayee; Karow, Michael; Mehl, Christian; Sharma, Punit Structured eigenvalue backward errors of matrix pencils and polynomials with palindromic structures. (English) Zbl 1328.15024 SIAM J. Matrix Anal. Appl. 36, No. 2, 393-416 (2015). MSC: 15A22 15A18 47A56 15A60 65F15 65F30 93C73 PDFBibTeX XMLCite \textit{S. Bora} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 393--416 (2015; Zbl 1328.15024) Full Text: DOI Link
Melnikov, Andrey; Vinnikov, Victor Null/pole interpolation problem in the class \(\mathcal {RI}\) of rational functions intertwining solutions of linear differential equations. (English) Zbl 1320.47008 Complex Anal. Oper. Theory 9, No. 1, 1-19 (2015). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A56 93B55 93A30 93B25 34B24 PDFBibTeX XMLCite \textit{A. Melnikov} and \textit{V. Vinnikov}, Complex Anal. Oper. Theory 9, No. 1, 1--19 (2015; Zbl 1320.47008) Full Text: DOI
Frazho, A. E.; ter Horst, S.; Kaashoek, M. A. State space formulas for a suboptimal rational Leech problem. I: Maximum entropy solution. (English) Zbl 1318.47023 Integral Equations Oper. Theory 79, No. 4, 533-553 (2014). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A57 47A68 93B15 47A56 PDFBibTeX XMLCite \textit{A. E. Frazho} et al., Integral Equations Oper. Theory 79, No. 4, 533--553 (2014; Zbl 1318.47023) Full Text: DOI arXiv
Opmeer, Mark R.; Staffans, Olof J. Optimal control on the doubly infinite continuous time axis and coprime factorizations. (English) Zbl 1322.49055 SIAM J. Control Optim. 52, No. 3, 1958-2007 (2014). MSC: 49N10 47N70 47A48 47A56 47A62 93B28 93C05 93C25 93D15 93D25 PDFBibTeX XMLCite \textit{M. R. Opmeer} and \textit{O. J. Staffans}, SIAM J. Control Optim. 52, No. 3, 1958--2007 (2014; Zbl 1322.49055) Full Text: DOI Link
Eremenko, Alexandre Simultaneous stabilization, avoidance and Goldberg’s constants. arXiv:1208.0778 Preprint, arXiv:1208.0778 [math.OC] (2012). MSC: 93D15 30D30 BibTeX Cite \textit{A. Eremenko}, ``Simultaneous stabilization, avoidance and Goldberg's constants'', Preprint, arXiv:1208.0778 [math.OC] (2012) Full Text: arXiv OA License
Zhou, Tong On nonsingularity verification of uncertain matrices over a quadratically constrained set. (English) Zbl 1368.93242 IEEE Trans. Autom. Control 56, No. 9, 2206-2212 (2011). MSC: 93B60 93D05 47A56 PDFBibTeX XMLCite \textit{T. Zhou}, IEEE Trans. Autom. Control 56, No. 9, 2206--2212 (2011; Zbl 1368.93242) Full Text: DOI
Dylevskii, A. V.; Lozgachev, G. I. Construction of infinite-dimensional modal controllers for plants with meromorphic transfer function. (English. Russian original) Zbl 1252.93051 Comput. Math. Model. 22, No. 4, 353-360 (2011); translation from Nelinejn. Din. Upr. 6, 71-78 (2008). MSC: 93B50 93C05 93C15 PDFBibTeX XMLCite \textit{A. V. Dylevskii} and \textit{G. I. Lozgachev}, Comput. Math. Model. 22, No. 4, 353--360 (2011; Zbl 1252.93051); translation from Nelinejn. Din. Upr. 6, 71--78 (2008) Full Text: DOI
Arlinskiĭ, Yury Schur parameters, Toeplitz matrices, and Kreĭn shorted operators. (English) Zbl 1256.47013 Integral Equations Oper. Theory 71, No. 3, 417-453 (2011). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A48 47A56 47A57 47A64 15B05 47B35 47N70 93B05 93B07 PDFBibTeX XMLCite \textit{Y. Arlinskiĭ}, Integral Equations Oper. Theory 71, No. 3, 417--453 (2011; Zbl 1256.47013) Full Text: DOI arXiv
Opmeer, Mark R.; Staffans, Olof J. Optimal input-output stabilization of infinite-dimensional discrete time-invariant linear systems by output injection. (English) Zbl 1216.47117 SIAM J. Control Optim. 48, No. 8, 5084-5107 (2010). Reviewer: Amol Sasane (Stockholm) MSC: 47N70 47A48 47A20 47A56 47A62 93B28 93C55 93D15 PDFBibTeX XMLCite \textit{M. R. Opmeer} and \textit{O. J. Staffans}, SIAM J. Control Optim. 48, No. 8, 5084--5107 (2010; Zbl 1216.47117) Full Text: DOI Link
Ball, Joseph A.; ter Horst, Sanne Robust control, multidimensional systems and multivariable Nevanlinna-Pick interpolation. (English) Zbl 1213.47014 Ball, Joseph A. (ed.) et al., Topics in operator theory. Volume 2: Systems and mathematical physics. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. Basel: Birkhäuser (ISBN 978-3-0346-0160-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0161-0/ebook). Operator Theory: Advances and Applications 203, 13-88 (2010). Reviewer: Jin Liang (Shanghai) MSC: 47A57 93D09 13F25 47A56 47A63 93B52 93D15 47-02 93-02 PDFBibTeX XMLCite \textit{J. A. Ball} and \textit{S. ter Horst}, Oper. Theory: Adv. Appl. 203, 13--88 (2010; Zbl 1213.47014) Full Text: arXiv
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. A state space approach to canonical factorization with applications. (English) Zbl 1203.47001 Operator Theory: Advances and Applications 200. Linear Operators and Linear Systems. Basel: Birkhäuser (ISBN 978-3-7643-8752-5/hbk; 978-3-7643-8753-2/ebook). xii, 423 p. (2010). Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi (Philadelphia) MSC: 47-02 47A48 47A56 47A68 47B35 26C15 15A21 15A24 30G30 47A62 90B35 93B28 PDFBibTeX XMLCite \textit{H. Bart} et al., A state space approach to canonical factorization with applications. Basel: Birkhäuser (2010; Zbl 1203.47001) Full Text: DOI
Arlinskiĭ, Yury Conservative discrete time-invariant systems and block operator CMV matrices. (English) Zbl 1199.47060 Methods Funct. Anal. Topol. 15, No. 3, 201-236 (2009). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47A48 47B36 47A56 93B28 PDFBibTeX XMLCite \textit{Y. Arlinskiĭ}, Methods Funct. Anal. Topol. 15, No. 3, 201--236 (2009; Zbl 1199.47060) Full Text: arXiv
Spivak, Alexander Approximate method of the optimal control for some system with small parameter and time lag. (English) Zbl 1185.49040 Int. J. Pure Appl. Math. 56, No. 1, 37-42 (2009). MSC: 49N10 49M30 93D15 93C55 47N70 47A48 47A56 47A62 93B28 58E25 PDFBibTeX XMLCite \textit{A. Spivak}, Int. J. Pure Appl. Math. 56, No. 1, 37--42 (2009; Zbl 1185.49040)
Arov, Damir Z.; Staffans, Olof J. Two canonical passive state/signal shift realizations of passive discrete time behaviors. (English) Zbl 1190.47014 J. Funct. Anal. 257, No. 8, 2573-2634 (2009). Reviewer: Jussi Behrndt (Berlin) MSC: 47A48 47B50 47A56 47A45 47B32 47N70 93B15 93B28 94A12 PDFBibTeX XMLCite \textit{D. Z. Arov} and \textit{O. J. Staffans}, J. Funct. Anal. 257, No. 8, 2573--2634 (2009; Zbl 1190.47014) Full Text: DOI
Arlinskiĭ, Yury M.; Hassi, Seppo; De Snoo, Henk S. V. Passive systems with a normal main operator and quasi-selfadjoint systems. (English) Zbl 1171.47008 Complex Anal. Oper. Theory 3, No. 1, 19-56 (2009). Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi (Philadelphia) MSC: 47A48 47A56 93B15 93B28 PDFBibTeX XMLCite \textit{Y. M. Arlinskiĭ} et al., Complex Anal. Oper. Theory 3, No. 1, 19--56 (2009; Zbl 1171.47008) Full Text: DOI arXiv
Arlinskiĭ, Yury Conservative realizations of the functions associated with Schur’s algorithm for the Schur class operator-valued function. (English) Zbl 1190.47013 Oper. Matrices 3, No. 1, 59-96 (2009). Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi (Philadelphia) MSC: 47A48 47A56 93B28 PDFBibTeX XMLCite \textit{Y. Arlinskiĭ}, Oper. Matrices 3, No. 1, 59--96 (2009; Zbl 1190.47013) Full Text: DOI
Cohen, Nir; Lewkowicz, Izchak The Lyapunov order for real matrices. (English) Zbl 1166.15010 Linear Algebra Appl. 430, No. 7, 1849-1866 (2009). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15B48 06F25 93B05 30D35 PDFBibTeX XMLCite \textit{N. Cohen} and \textit{I. Lewkowicz}, Linear Algebra Appl. 430, No. 7, 1849--1866 (2009; Zbl 1166.15010) Full Text: DOI
Ball, Joseph A.; Biswas, Animikh; Fang, Quanlei; ter Horst, Sanne Multivariable generalizations of the Schur class: Positive kernel characterization and transfer function realization. (English) Zbl 1156.47018 Ando, Tsuyoshi (ed.) et al., Recent advances in operator theory and applications. Proceedings of the international workshop on operator theory and applications (IWOTA), Seoul, Korea, July 31–August 3, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8892-8/hbk). Operator Theory: Advances and Applications 187, 17-79 (2009). MSC: 47A58 46L08 47A56 47B32 47L65 93B28 93C05 PDFBibTeX XMLCite \textit{J. A. Ball} et al., Oper. Theory: Adv. Appl. 187, 17--79 (2009; Zbl 1156.47018) Full Text: DOI arXiv
Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting. (English) Zbl 1217.47032 Linear Algebra Appl. 430, No. 4, 869-889 (2009). MSC: 47A56 47N70 93B20 93B55 PDFBibTeX XMLCite \textit{D. S. Kaliuzhnyi-Verbovetskyi} and \textit{V. Vinnikov}, Linear Algebra Appl. 430, No. 4, 869--889 (2009; Zbl 1217.47032) Full Text: DOI
Dylevskii, A. V. Constructing modal control systems for plants with meromorphic transfer function. (English. Russian original) Zbl 1178.93063 J. Comput. Syst. Sci. Int. 47, No. 3, 346-351 (2008); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2008, No. 3, 23-28 (2008). MSC: 93B55 93B50 PDFBibTeX XMLCite \textit{A. V. Dylevskii}, J. Comput. Syst. Sci. Int. 47, No. 3, 346--351 (2008; Zbl 1178.93063); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2008, No. 3, 23--28 (2008) Full Text: DOI
Opmeer, Mark R.; Staffans, Olof J. Optimal state feedback input-output stabilization of infinite-dimensional discrete time-invariant linear systems. (English) Zbl 1185.49038 Complex Anal. Oper. Theory 2, No. 3, 479-510 (2008). Reviewer: Werner H. Schmidt (Greifswald) MSC: 49N10 93D15 93C55 47N70 47A48 47A56 47A62 93B28 PDFBibTeX XMLCite \textit{M. R. Opmeer} and \textit{O. J. Staffans}, Complex Anal. Oper. Theory 2, No. 3, 479--510 (2008; Zbl 1185.49038) Full Text: DOI Link
Arlinskiĭ, Yury The Kalman–Yakubovich–Popov inequality for passive discrete time-invariant systems. (English) Zbl 1157.47011 Oper. Matrices 2, No. 1, 15-51 (2008). Reviewer: Jerzy Klamka (Gliwice) MSC: 47A48 47A56 47A63 47A64 93B28 93B15 94C05 PDFBibTeX XMLCite \textit{Y. Arlinskiĭ}, Oper. Matrices 2, No. 1, 15--51 (2008; Zbl 1157.47011) Full Text: DOI arXiv
Arlinskii, Yury Iterates of the Schur class operator-valued function and their conservative realizations. arXiv:0801.4267 Preprint, arXiv:0801.4267 [math.FA] (2008). MSC: 47A48 47A56 93B28 BibTeX Cite \textit{Y. Arlinskii}, ``Iterates of the Schur class operator-valued function and their conservative realizations'', Preprint, arXiv:0801.4267 [math.FA] (2008) Full Text: arXiv OA License
Mikkola, Kalle; Sasane, Amol A spectrally minimal realization formula for \(H^\infty(\mathbb D)\). (English) Zbl 1130.93023 Complex Anal. Oper. Theory 1, No. 4, 621-628 (2007). MSC: 93B28 30C99 47N70 93C25 47A56 93B60 47A57 PDFBibTeX XMLCite \textit{K. Mikkola} and \textit{A. Sasane}, Complex Anal. Oper. Theory 1, No. 4, 621--628 (2007; Zbl 1130.93023) Full Text: DOI
Mikkola, Kalle M. Coprime factorization and dynamic stabilization of transfer functions. (English) Zbl 1126.93049 SIAM J. Control Optim. 45, No. 6, 1988-2010 (2007). MSC: 93D15 93D25 47A56 93B28 PDFBibTeX XMLCite \textit{K. M. Mikkola}, SIAM J. Control Optim. 45, No. 6, 1988--2010 (2007; Zbl 1126.93049) Full Text: DOI Link
Mikkola, Kalle; Sasane, Amol Tolokonnikov’s lemma for real \(H^{\infty }\) and the real disc algebra. (English) Zbl 1182.47016 Complex Anal. Oper. Theory 1, No. 3, 439-446 (2007). MSC: 47A56 30H10 46J15 93C99 PDFBibTeX XMLCite \textit{K. Mikkola} and \textit{A. Sasane}, Complex Anal. Oper. Theory 1, No. 3, 439--446 (2007; Zbl 1182.47016) Full Text: DOI
Arlinskiĭ, Yury M.; Hassi, Seppo; de Snoo, Henk S. V. Parametrization of contractive block operator matrices and passive discrete-time systems. (English) Zbl 1129.47012 Complex Anal. Oper. Theory 1, No. 2, 211-233 (2007). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A48 47A45 47A56 47N70 93B15 93B20 93B28 PDFBibTeX XMLCite \textit{Y. M. Arlinskiĭ} et al., Complex Anal. Oper. Theory 1, No. 2, 211--233 (2007; Zbl 1129.47012) Full Text: DOI Link
Ball, Joseph A.; Raney, Michael W. Discrete-time dichotomous well-posed linear systems and generalized Schur–Nevanlinna–Pick interpolation. (English) Zbl 1127.47014 Complex Anal. Oper. Theory 1, No. 1, 1-54 (2007). Reviewer: Oscar Blasco (Valencia) MSC: 47A57 47A56 47A48 93B15 47N70 PDFBibTeX XMLCite \textit{J. A. Ball} and \textit{M. W. Raney}, Complex Anal. Oper. Theory 1, No. 1, 1--54 (2007; Zbl 1127.47014) Full Text: DOI
Khatskevich, Victor; Karelin, Irina I.; Zelenko, Leonid Operator pencils of the second order and linear fractional relations. (English) Zbl 1148.47028 Ukr. Mat. Visn. 3, No. 4, 467-503 (2006) and in Ukr. Math. Bull. 3, No. 4, 447-483 (2006). MSC: 47B50 47A06 47N70 37D99 39B32 93C15 47A56 93B28 47-02 PDFBibTeX XMLCite \textit{V. Khatskevich} et al., Ukr. Mat. Visn. 3, No. 4, 467--503 (2006; Zbl 1148.47028)
Helton, J. William; McCullough, Scott A.; Vinnikov, Victor Noncommutative convexity arises from linear matrix inequalities. (English) Zbl 1135.47005 J. Funct. Anal. 240, No. 1, 105-191 (2006). Reviewer: Frank Hansen (Copenhagen) MSC: 47A13 14P10 15B48 47A56 15A39 93B25 PDFBibTeX XMLCite \textit{J. W. Helton} et al., J. Funct. Anal. 240, No. 1, 105--191 (2006; Zbl 1135.47005) Full Text: DOI
Huang, H.-N.; Marcantognini, S. A. M.; Young, N. J. The spectral Carathéodory-Fejér problem. (English) Zbl 1100.30030 Integral Equations Oper. Theory 56, No. 2, 229-256 (2006). MSC: 30E05 47A56 32F45 93B50 PDFBibTeX XMLCite \textit{H. N. Huang} et al., Integral Equations Oper. Theory 56, No. 2, 229--256 (2006; Zbl 1100.30030) Full Text: DOI
Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit Conservative structured noncommutative multidimensional linear systems. (English) Zbl 1110.47066 Alpay, Daniel (ed.) et al., The state space method generalizations and applications. Basel: Birkhäuser (ISBN 3-7643-7370-9/hbk). Operator Theory: Advances and Applications 161, 179-223 (2006). Reviewer: A. V. Balakrishnan (Los Angeles) MSC: 47N70 46E22 47A13 47A48 47A56 93B28 PDFBibTeX XMLCite \textit{J. A. Ball} et al., Oper. Theory: Adv. Appl. 161, 179--223 (2006; Zbl 1110.47066)
Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit Structured noncommutatitve multidimensional linear systems. (English) Zbl 1139.93006 SIAM J. Control Optim. 44, No. 4, 1474-1528 (2005). MSC: 93B10 13F25 47A56 93B28 93C55 PDFBibTeX XMLCite \textit{J. A. Ball} et al., SIAM J. Control Optim. 44, No. 4, 1474--1528 (2005; Zbl 1139.93006) Full Text: DOI
Sui, Shou Gang; Liu, Shu Tang Control of Julia sets. (English) Zbl 1082.37052 Chaos Solitons Fractals 26, No. 4, 1135-1147 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37F50 37F10 30D05 93C10 PDFBibTeX XMLCite \textit{S. G. Sui} and \textit{S. T. Liu}, Chaos Solitons Fractals 26, No. 4, 1135--1147 (2005; Zbl 1082.37052) Full Text: DOI
Cohen, Nir Decoupling of proper transfer functions. (English) Zbl 1077.47011 Integral Equations Oper. Theory 50, No. 3, 317-332 (2004). Reviewer: Lasha Ephremidze (Tiblisi) MSC: 47A48 93C05 47A56 47A68 PDFBibTeX XMLCite \textit{N. Cohen}, Integral Equations Oper. Theory 50, No. 3, 317--332 (2004; Zbl 1077.47011) Full Text: DOI
Bessmertnyĭ, M. F. On realizations of rational matrix functions of several complex variables. II. (English) Zbl 1077.47009 Alpay, Daniel (ed.), Reproducing kernel spaces and applications. Basel: Birkhäuser (ISBN 3-7643-0068-X/hbk). Oper. Theory, Adv. Appl. 143, 135-146 (2003). Reviewer: Joseph A. Ball (MR 2005e:47023) MSC: 47A48 32A70 47A56 47N70 93B15 PDFBibTeX XMLCite \textit{M. F. Bessmertnyĭ}, in: Reproducing kernel spaces and applications. Basel: Birkhäuser. 135--146 (2003; Zbl 1077.47009)
Agler, J.; Yeh, F. B.; Young, N. J. Realization of functions into the symmetrised bidisc. (English) Zbl 1046.47013 Alpay, Daniel (ed.), Reproducing kernel spaces and applications. Basel: Birkhäuser (ISBN 3-7643-0068-X/hbk). Oper. Theory, Adv. Appl. 143, 1-37 (2003). Reviewer: Dmitry Kalyuzhniy-Verbovetzky (Beer-Sheva) MSC: 47A48 30E05 47A56 93B36 93B50 47A57 PDFBibTeX XMLCite \textit{J. Agler} et al., in: Reproducing kernel spaces and applications. Basel: Birkhäuser. 1--37 (2003; Zbl 1046.47013)
László, Ákos A generalization of the bounded real lemma. (English) Zbl 1032.15013 Linear Algebra Appl. 372, 79-103 (2003). Reviewer: Martin Argerami (Regina) MSC: 15A39 30D35 93B36 PDFBibTeX XMLCite \textit{Á. László}, Linear Algebra Appl. 372, 79--103 (2003; Zbl 1032.15013) Full Text: DOI
Bessmertnyĭ, M. F. On realizations of rational matrix functions of several complex variables. (English) Zbl 1049.47007 Alpay, Daniel et al., Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6762-8/hbk). Oper. Theory, Adv. Appl. 134, 157-185 (2002). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 47A56 93C05 94C05 PDFBibTeX XMLCite \textit{M. F. Bessmertnyĭ}, in: Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser. 157--185 (2002; Zbl 1049.47007) Full Text: DOI
Alpay, Daniel; Bolotnikov, Vladimir; Dewilde, Patrick; Dijksma, Aad Brune sections in the non-stationary case. (English) Zbl 0998.93019 Linear Algebra Appl. 343-344, 389-418 (2002). Reviewer: Dmitriy Kalyuzhniy-Verbovetzky (Rehovot) MSC: 93C05 30G30 15A06 30E05 47A57 47B32 47A68 47A56 PDFBibTeX XMLCite \textit{D. Alpay} et al., Linear Algebra Appl. 343--344, 389--418 (2002; Zbl 0998.93019) Full Text: DOI
Saprikin, S. M. Theory of linear dissipative scattering systems with discrete time and with space states of the class \(\pi_\kappa\). (English. Russian original) Zbl 1067.47012 J. Math. Sci., New York 120, No. 5, 1752-1765 (2004); translation from Zap. Nauchn. Semin. POMI 282, 192-215 (2001). MSC: 47A40 47B50 47N40 47N70 93D10 47B44 47A56 PDFBibTeX XMLCite \textit{S. M. Saprikin}, J. Math. Sci., New York 120, No. 5, 1752--1765 (2001; Zbl 1067.47012); translation from Zap. Nauchn. Semin. POMI 282, 192--215 (2001) Full Text: DOI
Kalyuzhnyj-Verbovetskyj, D. C. Cascade connections of multiparametric linear systems and conservative realization of a decomposable inner operator-valued function on bidisk. (Russian. English summary) Zbl 0995.47009 Mat. Stud. 15, No. 1, 65-76 (2001). MSC: 47A56 93C35 93B15 PDFBibTeX XMLCite \textit{D. C. Kalyuzhnyj-Verbovetskyj}, Mat. Stud. 15, No. 1, 65--76 (2001; Zbl 0995.47009)
Arov, D. Z.; Saprikin, S. M. Maximal solutions for embedding problem for a generalized Schur function and optimal dissipative scattering systems with Pontryagin state spaces. (English) Zbl 0992.47004 Methods Funct. Anal. Topol. 7, No. 4, 69-80 (2001). Reviewer: A.N.Kochubei (Kyïv) MSC: 47A57 47B50 93B28 47A48 46C20 47B44 PDFBibTeX XMLCite \textit{D. Z. Arov} and \textit{S. M. Saprikin}, Methods Funct. Anal. Topol. 7, No. 4, 69--80 (2001; Zbl 0992.47004)
Karelin, I.; Lerer, L.; Ran, A. C. M. \(J\)-symmetric factorizations and algebraic Riccati equations. (English) Zbl 0994.47021 Dijksma, A. (ed.) et al., Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30-July 3, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 124, 319-360 (2001). MSC: 47A68 47A56 15A24 47B50 49N05 93B36 PDFBibTeX XMLCite \textit{I. Karelin} et al., in: Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30--July 3, 1998. Basel: Birkhäuser. 319--360 (2001; Zbl 0994.47021)
Dym, Harry On Riccati equations and reproducing kernel spaces. (English) Zbl 0989.46015 Dijksma, A. (ed.) et al., Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30-July 3, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 124, 189-215 (2001). Reviewer: Vladimir Bolotnikov (Williamsburg) MSC: 46E22 47A56 47A57 47A68 93B36 93D05 46C20 30E05 PDFBibTeX XMLCite \textit{H. Dym}, in: Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30--July 3, 1998. Basel: Birkhäuser. 189--215 (2001; Zbl 0989.46015)
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Multiblock problems for almost periodic matrix functions of several variables. (English) Zbl 1009.42014 New York J. Math. 7, 117-148 (2001). Reviewer: C.Corduneanu (Arlington) MSC: 42B99 42A75 47A56 47A57 42A82 47B35 93B28 PDFBibTeX XMLCite \textit{L. Rodman} et al., New York J. Math. 7, 117--148 (2001; Zbl 1009.42014) Full Text: EuDML EMIS
Katsnelson, V. E. Right and left joint system representation of a rational matrix function in general position (System representation theory for dummies). (English) Zbl 1169.93317 Alpay, D. (ed.) et al., Operator theory, system theory and related topics. The Moshe Livšic anniversary volume. Proceedings of the conference in operator theory in honour of Moshe Livčic 80th birthday held in Beer-Sheva and Rehovot, Israel, June 29–July 4, 1997. Basel: Birkhäuser (ISBN 3-7643-6523-4/hbk). Oper. Theory, Adv. Appl. 123, 337-400 (2001). MSC: 93B15 47A56 47A48 47N70 PDFBibTeX XMLCite \textit{V. E. Katsnelson}, in: Operator theory, system theory and related topics. The Moshe Livšic anniversary volume. Proceedings of the conference in operator theory in honour of Moshe Livčic 80th birthday held in Beer-Sheva and Rehovot, Israel, June 29--July 4, 1997. Basel: Birkhäuser. 337--400 (2001; Zbl 1169.93317) Full Text: arXiv
Belyi, Sergey; Tsekanovskii, Eduard Multiplication theorems for \(J\)-contractive operator-valued functions. (English) Zbl 0982.47016 Ramm, A. G. (ed.) et al., Operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 7-11, 1998. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 25, 187-210 (2000). MSC: 47A56 47A10 47N50 81Q10 47A57 47N70 93C05 47A70 PDFBibTeX XMLCite \textit{S. Belyi} and \textit{E. Tsekanovskii}, in: Operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 7--11, 1998. Providence, RI: American Mathematical Society (AMS). 187--210 (2000; Zbl 0982.47016)
Kaliuzhnyi-Verbovetskyi, Dmitry S. Multiparametric dissipative linear stationary dynamical scattering systems: Discrete case. II: Existence of conservative dilations. (English) Zbl 0948.47013 Integral Equations Oper. Theory 36, No. 1, 107-120 (2000). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 47A48 47A20 47A56 93C35 47A57 47A40 PDFBibTeX XMLCite \textit{D. S. Kaliuzhnyi-Verbovetskyi}, Integral Equations Oper. Theory 36, No. 1, 107--120 (2000; Zbl 0948.47013) Full Text: DOI
Kalyuzhniy, Dmitriy S. Cascade Connection of Multiparametric Linear Systems and a Conservative Realization of Decomposable Inner Operator Functions in Bidisk. arXiv:math/0002208 Preprint, arXiv:math/0002208 [math.FA] (2000). MSC: 47A56 93B15 93C35 BibTeX Cite \textit{D. S. Kalyuzhniy}, ``Cascade Connection of Multiparametric Linear Systems and a Conservative Realization of Decomposable Inner Operator Functions in Bidisk'', Preprint, arXiv:math/0002208 [math.FA] (2000) Full Text: arXiv
Shubov, Marianna A. Spectral operators generated by Timoshenko beam model. (English) Zbl 0985.93012 Syst. Control Lett. 38, No. 4-5, 249-258 (1999). MSC: 93C20 47F05 35L05 35P20 93B28 47A56 47B40 74H45 74M05 PDFBibTeX XMLCite \textit{M. A. Shubov}, Syst. Control Lett. 38, No. 4--5, 249--258 (1999; Zbl 0985.93012) Full Text: DOI
Lerer, Leonid; Rodman, Leiba Bézoutians of rational matrix functions, matrix equations and factorizations. (English) Zbl 0958.15007 Linear Algebra Appl. 302-303, 105-133 (1999). Reviewer: Václav Burjan (Praha) MSC: 15A24 15A23 15A54 47A56 93B28 PDFBibTeX XMLCite \textit{L. Lerer} and \textit{L. Rodman}, Linear Algebra Appl. 302--303, 105--133 (1999; Zbl 0958.15007) Full Text: DOI
Gheondea, Aurelian; Ober, Raimund J. Completely \(J\)-positive linear systems of finite order. (English) Zbl 0941.47030 Math. Nachr. 203, 75-101 (1999). Reviewer: Adrian Duma (Hagen) MSC: 47B50 47N70 93B28 47A60 47A56 PDFBibTeX XMLCite \textit{A. Gheondea} and \textit{R. J. Ober}, Math. Nachr. 203, 75--101 (1999; Zbl 0941.47030) Full Text: DOI
Gheondea, Aurelian; Ober, Raimund J. A trace formula for Hankel operators. (English) Zbl 0920.47023 Proc. Am. Math. Soc. 127, No. 7, 2007-2012 (1999). MSC: 47B35 47A56 93B28 47B10 PDFBibTeX XMLCite \textit{A. Gheondea} and \textit{R. J. Ober}, Proc. Am. Math. Soc. 127, No. 7, 2007--2012 (1999; Zbl 0920.47023) Full Text: DOI
Krupnik, Ilya; Lancaster, Peter Minimal pencil realizations of rational matrix functions with symmetries. (English) Zbl 0969.93010 Can. Math. Bull. 41, No. 2, 178-186 (1998). Reviewer: R.K.Bose (New Delhi) MSC: 93B20 15A22 15A23 47A56 PDFBibTeX XMLCite \textit{I. Krupnik} and \textit{P. Lancaster}, Can. Math. Bull. 41, No. 2, 178--186 (1998; Zbl 0969.93010) Full Text: DOI
Kalyuzhniy, Dmitriy S. Multiparametric Passive Linear Stationary Dynamical Scattering Systems: Discrete Case, II: Existence of Conservative Dilations. arXiv:math/9810119 Preprint, arXiv:math/9810119 [math.FA] (1998). MSC: 47A20 47A56 93C35 BibTeX Cite \textit{D. S. Kalyuzhniy}, ``Multiparametric Passive Linear Stationary Dynamical Scattering Systems: Discrete Case, II: Existence of Conservative Dilations'', Preprint, arXiv:math/9810119 [math.FA] (1998) Full Text: arXiv
Arov, D. Z.; Kaashoek, M. A.; Pik, D. R. Minimal and optimal linear discrete time-invariant dissipative scattering systems. (English) Zbl 0898.47005 Integral Equations Oper. Theory 29, No. 2, 127-154 (1997). MSC: 47A40 47A57 47A48 47A56 93A99 47A63 PDFBibTeX XMLCite \textit{D. Z. Arov} et al., Integral Equations Oper. Theory 29, No. 2, 127--154 (1997; Zbl 0898.47005) Full Text: DOI
Helton, William; Rosenthal, Joachim; Wang, Xiaochang Matrix extensions and eigenvalue completions, the generic case. (English) Zbl 0891.15004 Trans. Am. Math. Soc. 349, No. 8, 3401-3408 (1997). Reviewer: A.L.Andrew (Bundoora) MSC: 15A18 47A56 93B60 PDFBibTeX XMLCite \textit{W. Helton} et al., Trans. Am. Math. Soc. 349, No. 8, 3401--3408 (1997; Zbl 0891.15004) Full Text: DOI
Alpay, Daniel; Dym, Harry On a new class of realization formulas and their application. (English) Zbl 0858.15012 Linear Algebra Appl. 241-243, 3-84 (1996). Reviewer: Yang Yingchen (Beijing) MSC: 15A54 93B15 15A23 93B05 93B07 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{H. Dym}, Linear Algebra Appl. 241--243, 3--84 (1996; Zbl 0858.15012) Full Text: DOI
Gohberg, I.; Zucker, Y. On canonical factorization of rational matrix functions. (English) Zbl 0856.47012 Integral Equations Oper. Theory 25, No. 1, 73-93 (1996). MSC: 47A56 47A68 93B28 15A99 PDFBibTeX XMLCite \textit{I. Gohberg} and \textit{Y. Zucker}, Integral Equations Oper. Theory 25, No. 1, 73--93 (1996; Zbl 0856.47012) Full Text: DOI
Rakowski, M.; Rodman, L. Interpolation and divisibility of meromorphic matrix functions. (English) Zbl 0861.30028 J. Math. Anal. Appl. 199, No. 2, 592-619 (1996). Reviewer: M.Putinar (Riverside) MSC: 30D30 47A48 30E05 93B28 PDFBibTeX XMLCite \textit{M. Rakowski} and \textit{L. Rodman}, J. Math. Anal. Appl. 199, No. 2, 592--619 (1996; Zbl 0861.30028) Full Text: DOI
Ionescu, Vlad; Oară, Cristian Generalized discrete-time Riccati theory. (English) Zbl 0855.93065 SIAM J. Control Optimization 34, No. 2, 601-619 (1996). Reviewer: L.E.Faibusovich (Cambridge/Mass.) MSC: 93D15 15A24 15A22 93C55 47A56 49N10 37J99 PDFBibTeX XMLCite \textit{V. Ionescu} and \textit{C. Oară}, SIAM J. Control Optim. 34, No. 2, 601--619 (1996; Zbl 0855.93065) Full Text: DOI