Chieu, Nguyen Huy; Hien, Le Van; Nghia, Tran T. A.; Tuan, Ha Anh Quadratic growth and strong metric subregularity of the subdifferential via subgradient graphical derivative. (English) Zbl 07319274 SIAM J. Optim. 31, No. 1, 545-568 (2021). MSC: 49J53 90C31 90C46 PDF BibTeX XML Cite \textit{N. H. Chieu} et al., SIAM J. Optim. 31, No. 1, 545--568 (2021; Zbl 07319274) Full Text: DOI
Chieu, Nguyen Huy; Van Hien, Le; Trang, Nguyen Thi Quynh Tilt stability for quadratic programs with one or two quadratic inequality constraints. (English) Zbl 1453.90111 Acta Math. Vietnam. 45, No. 2, 477-499 (2020). MSC: 90C20 90C31 90C46 PDF BibTeX XML Cite \textit{N. H. Chieu} et al., Acta Math. Vietnam. 45, No. 2, 477--499 (2020; Zbl 1453.90111) Full Text: DOI
Martens, Björn; Gerdts, Matthias Convergence analysis of the implicit Euler-discretization and sufficient conditions for optimal control problems subject to index-one differential-algebraic equations. (English) Zbl 1419.49007 Set-Valued Var. Anal. 27, No. 2, 405-431 (2019). MSC: 49J15 49K15 65L20 65L80 PDF BibTeX XML Cite \textit{B. Martens} and \textit{M. Gerdts}, Set-Valued Var. Anal. 27, No. 2, 405--431 (2019; Zbl 1419.49007) Full Text: DOI
Opazo, Felipe; Outrata, Jiří V.; Ramírez C., Héctor Erratum: “On the Aubin property of critical points to perturbed second-order cone programs”. (English) Zbl 06786782 SIAM J. Optim. 27, No. 3, 2143-2151 (2017). MSC: 90C31 90C46 PDF BibTeX XML Cite \textit{F. Opazo} et al., SIAM J. Optim. 27, No. 3, 2143--2151 (2017; Zbl 06786782) Full Text: DOI
Tuyen, Nguyen Van Some characterizations of solution sets of vector optimization problems with generalized order. (English) Zbl 1355.90104 Acta Math. Vietnam. 41, No. 4, 677-694 (2016). MSC: 90C46 90C29 90C31 PDF BibTeX XML Cite \textit{N. Van Tuyen}, Acta Math. Vietnam. 41, No. 4, 677--694 (2016; Zbl 1355.90104) Full Text: DOI
Prudnikov, Igor M. Subdifferentials of the first and second orders for Lipschitz functions. (English) Zbl 1354.49031 J. Optim. Theory Appl. 171, No. 3, 906-930 (2016). MSC: 49J52 90C30 90C31 PDF BibTeX XML Cite \textit{I. M. Prudnikov}, J. Optim. Theory Appl. 171, No. 3, 906--930 (2016; Zbl 1354.49031) Full Text: DOI
Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael Global minima for semilinear optimal control problems. (English) Zbl 1354.49048 Comput. Optim. Appl. 65, No. 1, 261-288 (2016). MSC: 49K20 49J20 49M25 49M05 49M29 35J61 65M12 65M60 PDF BibTeX XML Cite \textit{A. Ahmad Ali} et al., Comput. Optim. Appl. 65, No. 1, 261--288 (2016; Zbl 1354.49048) Full Text: DOI arXiv
Li, S. J.; Sun, X. K.; Zhu, S. K. Higher-order optimality conditions for strict minimality in set-valued otimization. (English) Zbl 1247.90284 J. Nonlinear Convex Anal. 13, No. 2, 281-291 (2012). Reviewer: Do Van Luu (Hanoi) MSC: 90C46 90C29 90C31 PDF BibTeX XML Cite \textit{S. J. Li} et al., J. Nonlinear Convex Anal. 13, No. 2, 281--291 (2012; Zbl 1247.90284) Full Text: Link
Outrata, Jiří V.; Ramírez C., Héctor On the Aubin property of critical points to perturbed second-order cone programs. (English) Zbl 1247.90256 SIAM J. Optim. 21, No. 3, 798-823 (2011); erratum ibid. 27, No. 3, 2143-2151 (2017). Reviewer: Jan-Joachim Rückmann (Puebla) MSC: 90C31 90C46 PDF BibTeX XML Cite \textit{J. V. Outrata} and \textit{H. Ramírez C.}, SIAM J. Optim. 21, No. 3, 798--823 (2011; Zbl 1247.90256) Full Text: DOI
Wachsmuth, Daniel Optimal control of the unsteady Navier-Stokes equations. (English) Zbl 1232.49006 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). vi, 126 p. (2006). MSC: 49J20 49K20 49K40 35Q30 49-02 PDF BibTeX XML Cite \textit{D. Wachsmuth}, Optimal control of the unsteady Navier-Stokes equations. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2006; Zbl 1232.49006) Full Text: Link
Patsko, V. S. Switching surfaces in linear differential games. (English) Zbl 1124.49032 J. Math. Sci., New York 139, No. 5, 6909-6953 (2006). MSC: 49N70 91A23 49K35 PDF BibTeX XML Cite \textit{V. S. Patsko}, J. Math. Sci., New York 139, No. 5, 6909--6953 (2006; Zbl 1124.49032) Full Text: DOI
Maurer, Helmut; Oberle, Hans Joachim Second order sufficient conditions for optimal control problems with free final time: The Riccati approach. (English) Zbl 1012.49018 SIAM J. Control Optimization 41, No. 2, 380-403 (2002). MSC: 49K15 49K40 65K10 70M20 49M05 PDF BibTeX XML Cite \textit{H. Maurer} and \textit{H. J. Oberle}, SIAM J. Control Optim. 41, No. 2, 380--403 (2002; Zbl 1012.49018) Full Text: DOI
Augustin, Dirk Sensitivitätsanalyse und Echtzeit-Steuerung optimaler Steuerprozesse mit Zustandsbeschränkungen sowie für Multiprozess- und Impulsprobleme. (Sensitivity analysis and real-time control of optimal control processes with state constraints and of multiprocess and impulse problems). (German) Zbl 0998.49016 Münster: Univ. Münster, Fachbereich Mathematik/ Informatik, 151 p. (2002). Reviewer: Rainer Buckdahn (Brest) MSC: 49K40 49K15 49K30 PDF BibTeX XML Cite \textit{D. Augustin}, Sensitivitätsanalyse und Echtzeit-Steuerung optimaler Steuerprozesse mit Zustandsbeschränkungen sowie für Multiprozess- und Impulsprobleme. (Sensitivity analysis and real-time control of optimal control processes with state constraints and of multiprocess and impulse problems). Münster: Univ. Münster, Fachbereich Mathematik/ Informatik (2002; Zbl 0998.49016)
Augustin, D.; Maurer, H. Second order sufficient conditions and sensitivity analysis for optimal multiprocess control problems. (English) Zbl 1006.49018 Control Cybern. 29, No. 1, 11-31 (2000). MSC: 49K40 49K15 49N90 PDF BibTeX XML Cite \textit{D. Augustin} and \textit{H. Maurer}, Control Cybern. 29, No. 1, 11--31 (2000; Zbl 1006.49018)
Fursikov, A. V. Optimal control of distributed systems. Theory and applications. Transl. from the Russian by Tamara Roszkovskaya. (English) Zbl 1027.93500 Translations of Mathematical Monographs. 187. Providence, RI: AMS, American Mathematical Society. xiv, 305 p. (2000). Reviewer: A.Akutowicz (Berlin) MSC: 93-02 93C20 35Q30 35J05 35J25 35K05 35K50 49J20 49K20 49K40 PDF BibTeX XML Cite \textit{A. V. Fursikov}, Optimal control of distributed systems. Theory and applications. Transl. from the Russian by Tamara Roszkovskaya. Providence, RI: AMS, American Mathematical Society (2000; Zbl 1027.93500)
Husainov, D. Ya; Stadnik, O. I.; Davydov, V. F. Optimization estimates of dynamical system characteristics. (Russian. Russian original) Zbl 0976.49013 Zh. Obchysl. Prykl. Mat. 84, No. 1, 128-136 (1999); translation in J. Math. Sci., New York 109, No. 4, 1795-1803 (2002). Reviewer: A.D.Borisenko (Kyïv) MSC: 49K15 49K40 37N35 PDF BibTeX XML Cite \textit{D. Y. Husainov} et al., Zh. Obchysl. Prykl. Mat. 84, No. 1, 128--136 (1999; Zbl 0976.49013); translation in J. Math. Sci., New York 109, No. 4, 1795--1803 (2002)
Bonnans, J. F. Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. (English) Zbl 0917.49020 Appl. Math. Optimization 38, No. 3, 303-325 (1998). Reviewer: H.O.Fattorini (Los Angeles) MSC: 49K20 49K40 35J60 90C31 PDF BibTeX XML Cite \textit{J. F. Bonnans}, Appl. Math. Optim. 38, No. 3, 303--325 (1998; Zbl 0917.49020) Full Text: DOI
Kaplan, A.; Tichatschke, R. On a class of terminal variational problems. (English) Zbl 0885.49018 Guddat, Jürgen (ed.) et al., Parametric optimization and related topics IV. Proceedings of the 4th international conference, Enschede (NL), June 6–9, 1995. Bern: Peter Lang. Approximation Optimization. 9, 185-199 (1997). MSC: 49K27 90C34 90C31 90C48 PDF BibTeX XML Cite \textit{A. Kaplan} and \textit{R. Tichatschke}, in: Parametric optimization and related topics IV. Proceedings of the 4th international conference, Enschede (NL), June 6--9, 1995. Bern: Peter Lang. 185--199 (1997; Zbl 0885.49018)
Maurer, Helmut; Augustin, Dirk Second order sufficient conditions and sensitivity analysis for the controlled Rayleigh problem. (English) Zbl 0885.49021 Guddat, Jürgen (ed.) et al., Parametric optimization and related topics IV. Proceedings of the 4th international conference, Enschede (NL), June 6–9, 1995. Bern: Peter Lang. Approximation Optimization. 9, 245-259 (1997). MSC: 49K40 49K15 65L10 PDF BibTeX XML Cite \textit{H. Maurer} and \textit{D. Augustin}, in: Parametric optimization and related topics IV. Proceedings of the 4th international conference, Enschede (NL), June 6--9, 1995. Bern: Peter Lang. 245--259 (1997; Zbl 0885.49021)
Bennati, M. L. Wellposedness by perturbation in optimization problems and metric characterization. (English) Zbl 0885.49017 Rend. Mat. Appl., VII. Ser. 16, No. 4, 613-623 (1996). Reviewer: R.Schianchi (Roma) MSC: 49K27 49K40 90C31 PDF BibTeX XML Cite \textit{M. L. Bennati}, Rend. Mat. Appl., VII. Ser. 16, No. 4, 613--623 (1996; Zbl 0885.49017)
Hettich, R.; Still, G. Second order optimality conditions for generalized semi-infinite programming problems. (English) Zbl 0855.90129 Optimization 34, No. 3, 195-211 (1995). MSC: 90C34 90C30 90C31 PDF BibTeX XML Cite \textit{R. Hettich} and \textit{G. Still}, Optimization 34, No. 3, 195--211 (1995; Zbl 0855.90129) Full Text: DOI
Maurer, H.; Pesch, H. J. Solution differentiability for parametric nonlinear control problems with control-state constraints. (English) Zbl 0835.49017 J. Optimization Theory Appl. 86, No. 2, 285-309 (1995). MSC: 49K40 49K15 65K10 PDF BibTeX XML Cite \textit{H. Maurer} and \textit{H. J. Pesch}, J. Optim. Theory Appl. 86, No. 2, 285--309 (1995; Zbl 0835.49017) Full Text: DOI
Grimble, M. J. Pole-zero cancellation problem in the convergence of explicit LQG self- tuning controllers. (English) Zbl 0709.93044 Int. J. Syst. Sci. 21, No. 8, 1409-1422 (1990). MSC: 93C40 93E20 49K45 PDF BibTeX XML Cite \textit{M. J. Grimble}, Int. J. Syst. Sci. 21, No. 8, 1409--1422 (1990; Zbl 0709.93044) Full Text: DOI
Fu, Yihui; Li, Mian Optimality conditions for a class of generalized maxmin problems in \(R^ n\). (Chinese. English summary) Zbl 0697.90076 J. Syst. Sci. Math. Sci. 10, No. 2, 97-107 (1990). MSC: 90C31 49J35 PDF BibTeX XML Cite \textit{Y. Fu} and \textit{M. Li}, J. Syst. Sci. Math. Sci. 10, No. 2, 97--107 (1990; Zbl 0697.90076)
Ledzewicz-Kowalewska, Urszula A necessary and sufficient condition for Altman’s maximal element problem for constraint sets with many equalities. (English) Zbl 0686.49008 Nonlinear Anal., Theory Methods Appl. 13, No. 7, 833-840 (1989). Reviewer: U.Ledzewicz-Kowalewska MSC: 49K27 90C31 PDF BibTeX XML Cite \textit{U. Ledzewicz-Kowalewska}, Nonlinear Anal., Theory Methods Appl. 13, No. 7, 833--840 (1989; Zbl 0686.49008) Full Text: DOI
Sorger, Gerhard On the optimality and stability of competitive paths in continuous time growth models. (English) Zbl 0685.90027 J. Econ. Theory 48, No. 2, 526-547 (1989). Reviewer: M.Luptáčik MSC: 91B62 49K15 93C95 PDF BibTeX XML Cite \textit{G. Sorger}, J. Econ. Theory 48, No. 2, 526--547 (1989; Zbl 0685.90027) Full Text: DOI
Liu, Sanyang Optimality conditions in nonsmooth multiobjective programming. (Chinese. English summary) Zbl 0659.90081 J. Syst. Sci. Math. Sci. 9, No. 1, 53-60 (1989). MSC: 90C31 PDF BibTeX XML Cite \textit{S. Liu}, J. Syst. Sci. Math. Sci. 9, No. 1, 53--60 (1989; Zbl 0659.90081)
Baranov, V. V.; Gogajzel’, A. V.; Nguyen Ngoc, Tkhang A parametric problem in a model of Markov processes of decision taking. (Russian) Zbl 0718.90096 Vestn. Khar’k. Univ. 315, 35-40 (1988). Reviewer: T.Rapcsák (Budapest) MSC: 90C40 90C31 90C48 PDF BibTeX XML Cite \textit{V. V. Baranov} et al., Vestn. Khar'k. Univ. 315, 35--40 (1988; Zbl 0718.90096)
Hazen, Gordon B. Differential characterizations of nonconical dominance in multiple objective decision making. (English) Zbl 0646.90048 Math. Oper. Res. 13, No. 1, 174-189 (1988). Reviewer: J.W.Nieuwenhuis MSC: 90B50 90C31 90C08 PDF BibTeX XML Cite \textit{G. B. Hazen}, Math. Oper. Res. 13, No. 1, 174--189 (1988; Zbl 0646.90048) Full Text: DOI
Corly, H. W. Optimality conditions for maximizations of set-valued functions. (English) Zbl 0621.90083 J. Optimization Theory Appl. 58, No. 1, 1-10 (1988). MSC: 90C31 49K99 PDF BibTeX XML Cite \textit{H. W. Corly}, J. Optim. Theory Appl. 58, No. 1, 1--10 (1988; Zbl 0621.90083) Full Text: DOI
Bensoussan, Alain Perturbation methods in optimal control. Transl. from the French by C. Tomson. (English) Zbl 0648.49001 Modern Applied Mathematics. Paris: Gauthier-Villars; Chichester (UK): Wiley. xiv. 573 p. £55.00 (1988). Reviewer: A.Dontchev MSC: 49-02 49K15 49K40 34D10 34E15 35B25 49K20 49L20 49K45 93C15 93C20 93E20 PDF BibTeX XML Cite \textit{A. Bensoussan}, Perturbation methods in optimal control. Transl. from the French by C. Tomson. Paris: Gauthier-Villars; Chichester (UK): Wiley (1988; Zbl 0648.49001)
Clarke, Frank H. Optimization and nonsmooth analysis. (Optimizatsiya i negladkij analiz). Transl. from the English by Yu. S. Ledyaev. Transl. ed. by V. I. Blagodatskikh. (Optimizatsiya i negladkij analiz.) (Russian) Zbl 0662.49001 Moskva: Nauka. 280 p. R. 2.40 (1988). Reviewer: M.Todorov MSC: 49-02 49J52 49K15 26B05 26E15 46G05 49J15 34A60 93B05 93B03 49K40 90C30 PDF BibTeX XML Cite \textit{F. H. Clarke}, Optimizatsiya i negladkij analiz (Russian). Transl. from the English by Yu. S. Ledyaev. Transl. ed. by V. I. Blagodatskikh. Moskva: Nauka (1988; Zbl 0662.49001)
Alekseev, V. M.; Tikhomirov, V. M.; Fomin, S. V. Optimal control. Transl. from the Russian by V. M. Volosov. (English) Zbl 0689.49001 Contemporary Soviet Mathematics. New York etc.: Consultants Bureau. xiii, 309 p. $ 75.00 (1987). Reviewer: M.Brokate MSC: 49-01 49K15 49K27 49K40 34H05 PDF BibTeX XML Cite \textit{V. M. Alekseev} et al., Optimal control. Transl. from the Russian by V. M. Volosov. New York etc.: Consultants Bureau (1987; Zbl 0689.49001)
Singh, Chanchal A class of multiple-criteria fractional programming problems. (English) Zbl 0599.90119 J. Math. Anal. Appl. 115, 202-213 (1986). Reviewer: S.Schaible MSC: 90C32 90C31 49N15 PDF BibTeX XML Cite \textit{C. Singh}, J. Math. Anal. Appl. 115, 202--213 (1986; Zbl 0599.90119) Full Text: DOI
Klein Haneveld, Willem K. Duality in stochastic linear and dynamic programming. (English) Zbl 0598.90062 Lecture Notes in Economics and Mathematical Systems, 274. Berlin etc.: Springer-Verlag. VII, 295 p. DM 55.00 (1986). Reviewer: I.M.Stancu-Minasian MSC: 90C15 49N15 90C90 90B05 49L20 90C05 90C39 90C48 90C25 90C31 90B30 90B35 PDF BibTeX XML
Zhaldak, M. I.; Trius, Yu. V. A problem in parametric programming. (English) Zbl 0606.90122 Ukr. Math. J. 37, 464-469 (1985). MSC: 90C31 90C48 49K27 PDF BibTeX XML Cite \textit{M. I. Zhaldak} and \textit{Yu. V. Trius}, Ukr. Math. J. 37, 464--469 (1985; Zbl 0606.90122) Full Text: DOI
Malivert, Christian Dualité en programmation linéaire multicritère. (French) Zbl 0555.90094 Math. Operationsforsch. Stat., Ser. Optimization 15, 555-572 (1984). MSC: 90C31 49K10 90C05 49N15 PDF BibTeX XML Cite \textit{C. Malivert}, Math. Operationsforsch. Stat., Ser. Optimization 15, 555--572 (1984; Zbl 0555.90094) Full Text: DOI
Gnevko, S. V.; Dymkov, M. P. On the solution of a continuous linear programming problem with perturbed parameters. (Russian. English summary) Zbl 0532.90083 Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1983, No. 4, 8-14 (1983). Reviewer: V.Veliov MSC: 90C31 90C05 PDF BibTeX XML Cite \textit{S. V. Gnevko} and \textit{M. P. Dymkov}, Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1983, No. 4, 8--14 (1983; Zbl 0532.90083)
Stadler, W. Instability of optimal equilibria in the minimum mass design of uniform shallow arches. (English) Zbl 0501.73091 J. Optimization Theory Appl. 41, 299-316 (1983). MSC: 74P99 74K15 74G60 49K20 PDF BibTeX XML Cite \textit{W. Stadler}, J. Optim. Theory Appl. 41, 299--316 (1983; Zbl 0501.73091) Full Text: DOI
Rolewicz, Stefan A method of reduction of constraints. (English) Zbl 0491.90080 Mathematical methods in operations research, int. Conf., Sofia 1980, 111-114 (1981). MSC: 90C30 90C31 90C48 46B99 PDF BibTeX XML Full Text: EuDML
Scobey, P.; Kabe, D. G. Some results for vector bilinear programming problems. (English) Zbl 0444.90081 Ind. Math. 30, 29-53 (1980). MSC: 90C20 90C31 91A05 PDF BibTeX XML Cite \textit{P. Scobey} and \textit{D. G. Kabe}, Ind. Math. 30, 29--53 (1980; Zbl 0444.90081)
Ben-Tal, Aharon Characterization of Pareto and lexicographic optimal solutions. (English) Zbl 0443.90097 Multiple criteria decision making, theory and application, Proc. 3rd Conf., Hagen/Königswinter 1979, Lect. Notes Econ. Math. Syst. 177, 1-11 (1980). MSC: 90C31 90C25 91B06 PDF BibTeX XML
Dubov, Yu. A. Necessary and sufficient conditions for Pareto-optimality in mean. (English. Russian original) Zbl 0457.90057 Eng. Cybern. 17, No. 6, 109-114 (1979); translation from Izv. Akad. Nauk SSSR, Tekh. Kibern. 1979, No. 6, 137-141 (1979). MSC: 90C15 90C31 PDF BibTeX XML Cite \textit{Yu. A. Dubov}, Eng. Cybern. 17, No. 6, 109--114 (1979; Zbl 0457.90057); translation from Izv. Akad. Nauk SSSR, Tekh. Kibern. 1979, No. 6, 137--141 (1979)
Cramer, J.; Pollatschek, M. A. Candidate to job allocation problem with a lexicographic objective. (English) Zbl 0419.90055 Manage. Sci. 25, 466-473 (1979). MSC: 90B99 90C90 90C31 PDF BibTeX XML Cite \textit{J. Cramer} and \textit{M. A. Pollatschek}, Manage. Sci. 25, 466--473 (1979; Zbl 0419.90055) Full Text: DOI
El-Attar, R. A.; Vidyasagar, M.; Dutta, S. R. K. An algorithm for \(\ell_1\)-norm minimization with application to nonlinear \(\ell_1\)-approximation. (English) Zbl 0401.90089 SIAM J. Numer. Anal. 16, 70-86 (1979). MSC: 90C30 65K05 65D10 41A65 41A50 41A46 PDF BibTeX XML Cite \textit{R. A. El-Attar} et al., SIAM J. Numer. Anal. 16, 70--86 (1979; Zbl 0401.90089) Full Text: DOI
Boyer, Marcel A habit forming optimal growth model. (English) Zbl 0417.90032 Int. Econ. Rev. 19, 585-609 (1978). MSC: 91B62 91B10 PDF BibTeX XML Cite \textit{M. Boyer}, Int. Econ. Rev. 19, 585--609 (1978; Zbl 0417.90032) Full Text: DOI
Godini, G. On convex vectorial optimization. (English) Zbl 0398.90094 Rev. Roum. Math. Pures Appl. 23, 1025-1032 (1978). MSC: 90C31 90C48 49K27 PDF BibTeX XML Cite \textit{G. Godini}, Rev. Roum. Math. Pures Appl. 23, 1025--1032 (1978; Zbl 0398.90094)
Simon, Carl P. Conditions for constrained Pareto optima on a Banach space with a finite number of criteria. (English) Zbl 0536.90082 Dynamical systems, Proc. int. Symp., Gainesville/Fla. 1976, 323-334 (1977). MSC: 90C31 90C48 46B99 PDF BibTeX XML
Ben-Tal, A.; Charnes, A. Primal and dual optimality criteria in convex programming. (English) Zbl 0417.90070 Z. Oper. Res., Ser. A 21, 197-209 (1977). MSC: 90C25 90C31 PDF BibTeX XML Cite \textit{A. Ben-Tal} and \textit{A. Charnes}, Z. Oper. Res., Ser. A 21, 197--209 (1977; Zbl 0417.90070) Full Text: DOI