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Ball, Joseph Anthony

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Author ID: ball.joseph-a Recent zbMATH articles by "Ball, Joseph Anthony"
Published as: Ball, J. A.; Ball, Joseph; Ball, Joseph A.
Homepage: http://www.math.vt.edu/people/ball/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 232 Publications since 1974, including 11 Books
Reviewing Activity: 117 Reviews
Biographic References: 1 Publication
all top 5

Co-Authors

19 single-authored
34 Gohberg, Israel
34 Helton, John William
32 Bolotnikov, Vladimir
26 Rodman, Leiba X.
17 Vinnikov, Victor
14 Kaashoek, Marinus Adriaan
10 ter Horst, Sanne
8 Groenewald, Gilbert J.
8 Rakowski, Marek
7 Fang, Quanlei
7 Ran, André C. M.
6 Alpay, Daniel Aron
6 Spitkovsky, Ilya Matvey
5 Clancey, Kevin F.
4 Day, Martin V.
4 Kaliuzhnyi-Verbovetskyi, Dmitry S.
4 Kim, Jeongook
4 Malakorn, Tanit
4 Sadosky, Cora
4 Sasane, Amol J.
4 Trent, Tavan T.
4 Verma, Madanpal S.
3 Chudoung, Jerawan
3 Cohen, Nir
3 Fanney, Thomas R.
3 Foiaş, Ciprian Ilie
3 Kachroo, Pushkin
3 Lubin, Arthur
3 Staffans, Olof Johan
3 Tannenbaum, Allen Robert
3 van der Schaft, Arjan J.
2 Behrndt, Jussi
2 Huamán, Moisés D. Guerra
2 Kang, Jeongook
2 Kheifets, Alexander
2 Klaus, Martin
2 Kurula, Mikael
2 Luse, D. William
2 Marx, Gregory
2 Petersen, Mark Adam
2 Sau, Haripada
1 Abrahamse, M. B.
1 Agler, Jim
1 Antoulas, Athanasios C.
1 Aplay, D.
1 Arendt, Wolfgang
1 Biswas, Animikh
1 Boquet, Grant M.
1 Carpenter, Lonnie E.
1 Carroll, Philip T.
1 Curto, Raúl Enrique
1 Dritschel, Michael A.
1 Eidelman, Yuli
1 Förster, Karl-Heinz
1 Greenberg, William R.
1 Grudsky, Sergei Mikhailovich
1 Jonckheere, Edmond A.
1 Karlovich, Yuri I.
1 Krener, Arthur James
1 Kriete, Thomas L. III
1 Li, Wing Suet
1 McCarthy, John Edward
1 Mehl, Christian
1 Mehrmann, Volker
1 Mikkola, Kalle M.
1 Ohsawa, Takeo
1 Olin, Robert F.
1 Olshevsky, Vadim
1 Peretz, Yossi
1 Portal, Pierre
1 Potapov, Denis
1 Quiroga-Barranco, Raul
1 Raney, Michael W.
1 Rosenthal, Joachim
1 Ross, William T. jun.
1 Rovnyak, James
1 Saitoh, Saburou
1 Shalom, Tamir
1 Sung, Chen-Han
1 Taub, Bart
1 ter Elst, Antonius Frederik Maria
1 Thomson, James E.
1 Timotin, Dan
1 Trunk, Carsten
1 Uetake, Yoichi
1 Vasilevski, Nikolai Leonidovich
1 Walker, Michael Luke
1 Willems, Jan Camiel
1 Wyman, Bostwick F.
1 Young, Nicholas John
1 Yu, Tungsheng
1 Zwart, Hans J.

Publications by Year

Citations contained in zbMATH

196 Publications have been cited 2,046 times in 1,059 Documents Cited by Year
Interpolation of rational matrix functions. Zbl 0708.15011
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
235
1990
A Beurling-Lax theorem for the Lie group U(m,n) which contains most classical interpolation theory. Zbl 0505.47029
Ball, Joseph A.; Helton, J. William
94
1983
\(H^ \infty\) control for nonlinear systems with output feedback. Zbl 0782.93032
Ball, Joseph A.; Helton, J. William; Walker, Michael L.
80
1993
Errata to: Two-sided tangential interpolation of real rational matrix functions. Zbl 0835.41005
Ball, J. A.; Gohberg, I.; Rodman, L.
75
1994
Interpolation and commutant lifting for multipliers on reproducing kernel Hilbert spaces. Zbl 0983.47011
Ball, Joseph A.; Trent, Tavan T.; Vinnikov, Victor
74
2001
Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables. Zbl 0914.47020
Ball, Joseph A.; Trent, Tavan T.
62
1998
Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions. Zbl 0588.47019
Ball, Joseph A.; Helton, J. William
42
1986
On the solution of the minimal rational interpolation problem. Zbl 0715.93020
Antoulas, A. C.; Ball, J. A.; Kang, J.; Willems, J. C.
37
1990
Conservative structured noncommutative multidimensional linear systems. Zbl 1110.47066
Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit
34
2006
Scattering systems with several evolutions and multidimensional input/state/output systems. Zbl 1092.47006
Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor
31
2005
Optimal Hankel norm model reductions and Wiener-Hopf factorization. I: The canonical case. Zbl 0623.93016
Ball, Joseph A.; Ran, André C. M.
31
1987
Sensitivity minimization in an \(H^{\infty}\) norm: parametrization of all suboptimal solutions. Zbl 0634.93024
Ball, Joseph A.; Cohen, Nir
30
1987
Nevanlinna-Pick interpolation for time-varying input-output maps: The discrete case. Zbl 0747.93052
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
29
1992
Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions. Zbl 0525.47013
Ball, Joseph A.
28
1983
Lax–Phillips scattering and conservative linear system: a Cuntz-algebra multidimensional setting. Zbl 1100.47008
Ball, Joseph A.; Vinnikov, Victor
27
2005
De Branges-Rovnyak operator models and systems theory: A survey. Zbl 0756.47007
Ball, Joseph A.; Cohen, Nir
27
1991
Structured noncommutatitve multidimensional linear systems. Zbl 1139.93006
Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit
26
2005
Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\). Zbl 1061.47014
Ball, Joseph A.; Bolotnikov, Vladimir
22
2004
Formal reproducing kernel Hilbert spaces: The commutative and noncommutative settings. Zbl 1084.46018
Ball, Joseph A.; Vinnikov, Victor
21
2003
Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix fay trisecant identity. Zbl 0945.47008
Ball, Joseph A.; Vinnikov, Victor
21
1999
On the eigenvalues of matrices with given upper triangular part. Zbl 0706.15010
Ball, J. A.; Gohberg, Israel; Rodman, Leiba; Shalom, T.
21
1990
A commutant lifting theorem on the polydisc. Zbl 0953.32010
Ball, J. A.; Li, W. S.; Timotin, D.; Trent, T. T.
20
1999
Models for noncontractions. Zbl 0317.47004
Ball, Joseph A.
19
1975
Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators. Zbl 0621.47012
Ball, Joseph A.; Kriete, Thomas L. III.
18
1987
Conservative state-space realizations of dissipative system behaviors. Zbl 1152.93018
Ball, Joseph A.; Staffans, Olof J.
17
2006
Reproducing kernels for Hardy spaces on multiply connected domains. Zbl 0867.30038
Ball, Joseph A.; Clancey, Kevin F.
16
1996
Two-sided Lagrange-Sylvester interpolation problems for rational matrix functions. Zbl 0712.15032
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
15
1990
Local inverse spectral problems for rational matrix functions. Zbl 0621.47022
Ball, Joseph A.; Ran, André C. M.
15
1987
\(J\)-inner-outer factorization, \(J\)-spectral factorization, and robust control for nonlinear systems. Zbl 0848.93010
Ball, Joseph A.; van der Schaft, Arjan J.
14
1996
A factorization principle for stabilization of linear control systems. Zbl 0759.93065
Ball, Joseph A.; Helton, J. William; Verma, Madanpal
14
1991
Global inverse spectral problems for rational matrix functions. Zbl 0617.15017
Ball, Joseph A.; Ran, André C. M.
14
1987
Beurling-Lax representations using classical Lie groups with many applications. III: Groups preserving two bilinear forms. Zbl 0601.47015
Ball, Joseph A.; Helton, J. William
14
1986
Shift invariant subspaces, factorization, and interpolation for matrices. I. The canonical case. Zbl 0596.15011
Ball, Joseph A.; Gohberg, Israel
14
1986
A lifting theorem for operator models of finite rank on multiply- connected domains. Zbl 0435.47035
Ball, Joseph A.
14
1979
Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions. Zbl 1210.47041
Ball, Joseph A.; Bolotnikov, Vladimir
13
2010
Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems. Zbl 1290.47014
Ball, Joseph A.; Bolotnikov, Vladimir
12
2013
Bounded real lemma for structured noncommutative multidimensional linear systems and robust control. Zbl 1125.93334
Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit
12
2006
Overdetermined multidimensional systems: state space and frequency domain methods. Zbl 1050.93044
Ball, Joseph A.; Vinnikov, Victor
12
2003
Minimal factorization of meromorphic matrix functions in terms of local data. Zbl 0621.47020
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
12
1987
Hardy space expectation operators and reducing subspaces. Zbl 0296.47022
Ball, Joseph A.
12
1975
Noncommutative reproducing kernel Hilbert spaces. Zbl 1350.47014
Ball, Joseph A.; Marx, Gregory; Vinnikov, Victor
11
2016
Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems. Zbl 0861.47010
Ball, Joseph A.; Vinnikov, Victor
11
1996
Realization and factorization for rational matrix functions with symmetries. Zbl 0735.15011
Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
11
1990
Nevanlinna-Pick interpolation: Generalizations and applications. Zbl 0758.47012
Ball, Joseph A.
11
1988
A commutant lifting theorem for triangular matrices with diverse applications. Zbl 0561.47008
Ball, Joseph A.; Gohberg, Israel
11
1985
Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory. Zbl 1324.47022
Ball, Joseph A.; Bolotnikov, Vladimir
10
2013
Interpolation problems for Schur multipliers on the Drury–Arveson space: from Nevanlinna–Pick to abstract interpolation problem. Zbl 1170.47006
Ball, Joseph A.; Bolotnikov, Vladimir
10
2008
Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations. Zbl 1223.47012
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
10
2008
Interpolation in the noncommutative Schur–Agler class. Zbl 1164.47023
Ball, Joseph A.; Bolotnikov, Vladimir
10
2007
Functional models for representations of the Cuntz algebra. Zbl 1092.47012
Ball, Joseph A.; Vinnikov, Victor
10
2005
Linear systems, operator model theory and scattering: Multivariable generalizations. Zbl 0973.93021
Ball, J. A.
10
2000
Two-sided Nudelman interpolation for input-output operators of discrete time-varying systems. Zbl 0824.47016
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
10
1995
The two-sided residue interpolation in the Stieltjes class of matrix functions. Zbl 0854.15009
Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
10
1994
Simultaneous residue interpolation problems for rational matrix functions. Zbl 0713.15009
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
10
1990
Tangential interpolation problems for rational matrix functions. Zbl 0699.30029
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
10
1990
Nonnormal dilations, disconjugacy and constrained spectral factorization. Zbl 0443.47008
Ball, Joseph A.; Helton, J. William
10
1980
Interpolation and transfer-function realization for the noncommutative Schur-Agler class. Zbl 1443.46039
Ball, Joseph A.; Marx, Gregory; Vinnikov, Victor
9
2018
A Beurling type theorem in weighted Bergman spaces. Zbl 1277.47012
Ball, Joseph A.; Bolotnikov, Vladimir
9
2013
Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations. Zbl 1199.47061
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
9
2007
Transfer-function realization for multipliers of the Arveson space. Zbl 1126.47011
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
9
2007
Viscosity solutions of Hamilton-Jacobi equations arising in nonlinear \(H_ \infty\)-control. Zbl 0844.93035
Ball, Joseph A.; Helton, J. William
9
1996
Beurling-Lax representations using classical Lie groups with many applications. II: \(\mathrm{GL}(n,\mathbb C)\) and Wiener-Hopf factorization. Zbl 0539.47010
Ball, Joseph A.; Helton, William J.
9
1984
Factorization results related to shifts in an indefinite metric. Zbl 0499.47013
Ball, Joseph A.; Helton, J. William
9
1982
Analytic Toeplitz operators with automorphic symbol. II. Zbl 0351.47023
Abrahamse, M. B.; Ball, Joseph A.
9
1976
Discrete-time dichotomous well-posed linear systems and generalized Schur–Nevanlinna–Pick interpolation. Zbl 1127.47014
Ball, Joseph A.; Raney, Michael W.
8
2007
Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve. Zbl 1051.30035
Ball, Joseph A.; Vinnikov, Victor
8
2001
Nevanlinna-Pick interpolation for time-varying input-output maps: The continuous time case. Zbl 0746.41001
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
8
1992
Shift invariant manifolds and nonlinear analytic function theory. Zbl 0659.47004
Ball, Joseph A.; Helton, J. William
8
1988
Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations. Zbl 1321.32002
Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.
7
2015
A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions. Zbl 1196.47013
Ball, Joseph A.; Bolotnikov, Vladimir; Horst, Sanne Ter
7
2010
Multivariable backward-shift-invariant subspaces and observability operators. Zbl 1156.47012
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
7
2007
On a bitangential interpolation problem for contractive-valued functions on the unit ball. Zbl 1037.47011
Ball, Joseph A.; Bolotnikov, Vladimir
7
2002
Common minimal multiples and divisors for rational matrix functions. Zbl 0722.15015
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
7
1990
Frequency-scale decomposition of \(H^{\infty}\)-disk problems. Zbl 0682.93043
Luse, D. William; Ball, Joseph A.
7
1989
On a local nonlinear commutant lifting theorems. Zbl 0652.47004
Ball, Joseph A.; Foias, Ciprian; Helton, J. William; Tannenbaum, Allen
7
1987
Weakly closed algebras of subnormal operators. Zbl 0377.47022
Ball, Joseph A.; Olin, Robert F.; Thomson, James E.
7
1978
On a class of contractive perturbations of restricted shifts. Zbl 0325.47010
Ball, Joseph A.; Lubin, Arthur
7
1976
Multidimensional circuit synthesis and multivariable dilation theory. Zbl 1219.47025
Ball, Joseph A.
6
2011
Conservative input-state-output systems with evolution on a multidimensional integer lattice. Zbl 1219.93065
Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor
6
2005
Bitangential interpolation for input-output maps of time-varying systems: The continuous time case. Zbl 0808.47013
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
6
1994
Factorization and feedback stabilization for nonlinear systems. Zbl 0925.93831
Ball, Joseph A.; Verma, Madan
6
1994
Column reduced rational matrix functions with given null-pole data in the complex plane. Zbl 0809.15010
Ball, J. A.; Kaashoek, M. A.; Groenewald, G.; Kim, J.
6
1994
Interpolation by rational matrix functions and stability of feedback systems: The 4-block case. Zbl 0793.47011
Ball, Joseph A.; Rakowski, Marek
6
1992
Nonlinear \(H^ \infty\) control theory for stable plants. Zbl 0760.93021
Ball, Joseph A.; Helton, J. William
6
1992
Zero data and interpolation problems for rectangular matrix polynomials. Zbl 0731.15017
Ball, Joseph A.; Cohen, Nir; Rodman, Leiba
6
1991
Null-pole subspaces of nonregular rational matrix functions. Zbl 0738.93028
Ball, Joseph A.; Rakowski, Marek
6
1991
Minimal McMillan degree rational matrix functions with prescribed local zero-pole structure. Zbl 0715.93015
Ball, Joseph A.; Rakowski, Marek
6
1990
Matrix polynomial solutions of tangential Lagrange-Sylvester interpolation conditions of low McMillan degree. Zbl 0712.15031
Ball, Joseph A.; Kang, Jeongook
6
1990
Zero-pole structure of nonregular rational matrix functions. Zbl 0746.30009
Ball, Joseph A.; Rakowski, Marek
6
1990
Lie groups over the field of rational functions, signed spectral factorization, signed interpolation, and amplifier design. Zbl 0493.22008
Ball, Joseph A.; Helton, J. William
6
1982
Rational Cayley inner Herglotz-Agler functions: positive-kernel decompositions and transfer-function realizations. Zbl 1295.32003
Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.
5
2014
Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting. Zbl 1303.47016
Ball, Joseph A.; Guerra Huamán, Moisés D.
5
2013
Extension of the \(\nu\)-metric. Zbl 1272.93046
Ball, Joseph A.; Sasane, Amol J.
5
2012
Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions. Zbl 1276.47008
Bolotnikov, Vladimir; Ball, Joseph A.
5
2012
Canonical transfer-function realization for Schur-Agler-class functions of the polydisk. Zbl 1273.47030
Ball, Joseph A.; Bolotnikov, Vladimir
5
2012
Interpolation in de Branges-Rovnyak spaces. Zbl 1223.30009
Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne
5
2011
Multivariable generalizations of the Schur class: Positive kernel characterization and transfer function realization. Zbl 1156.47018
Ball, Joseph A.; Biswas, Animikh; Fang, Quanlei; ter Horst, Sanne
5
2009
Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings. Zbl 1167.93329
Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.
5
2008
Conservative linear systems, unitary colligations and Lax-Phillips scattering: multidimensional generalizations. Zbl 1073.47533
Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor
5
2004
A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space. Zbl 1038.47009
Ball, Joseph A.; Bolotnikov, Vladimir
5
2003
Interpolation and transfer-function realization for the noncommutative Schur-Agler class. Zbl 1443.46039
Ball, Joseph A.; Marx, Gregory; Vinnikov, Victor
9
2018
Contractive multipliers from Hardy space to weighted Hardy space. Zbl 1364.30040
Ball, Joseph A.; Bolotnikov, Vladimir
2
2017
Noncommutative reproducing kernel Hilbert spaces. Zbl 1350.47014
Ball, Joseph A.; Marx, Gregory; Vinnikov, Victor
11
2016
Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting. Zbl 1368.93491
Ball, Joseph A.; Groenewald, Gilbert; ter Horst, Sanne
3
2016
On the expansive property of inner functions in weighted Hardy spaces. Zbl 1394.47019
Ball, Joseph A.; Bolotnikov, Vladimir
3
2016
Meromorphic matrix trivializations of factors of automorphy over a Riemann surface. Zbl 1359.14035
Ball, Joseph A.; Clancey, Kevin F.; Vinnikov, Victor
1
2016
Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations. Zbl 1321.32002
Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.
7
2015
De Branges-Rovnyak spaces: basics and theory. Zbl 1347.46018
Ball, Joseph A.; Bolotnikov, Vladimir
4
2015
Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces. Zbl 1317.47006
Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Sadosky, Cora; Vinnikov, Victor
3
2015
De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane. Zbl 1317.47013
Ball, Joseph A.; Kurula, Mikael; Staffans, Olof J.; Zwart, Hans
3
2015
De Branges-Rovnyak spaces and norm-constrained interpolation. Zbl 1342.47022
Ball, Joseph A.; Bolotnikov, Vladimir
1
2015
Rational Cayley inner Herglotz-Agler functions: positive-kernel decompositions and transfer-function realizations. Zbl 1295.32003
Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.
5
2014
Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems. Zbl 1290.47014
Ball, Joseph A.; Bolotnikov, Vladimir
12
2013
Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory. Zbl 1324.47022
Ball, Joseph A.; Bolotnikov, Vladimir
10
2013
A Beurling type theorem in weighted Bergman spaces. Zbl 1277.47012
Ball, Joseph A.; Bolotnikov, Vladimir
9
2013
Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting. Zbl 1303.47016
Ball, Joseph A.; Guerra Huamán, Moisés D.
5
2013
Convexity analysis and the matrix-valued Schur class over finitely connected planar domains. Zbl 1349.46005
Ball, J. A.; Huamán, M. D. Guerra
3
2013
The Takagi problem on the disk and bidisk. Zbl 1299.30108
Agler, Jim; Ball, Joseph A.; McCarthy, John E.
2
2013
Interpolation in sub-Bergman spaces. Zbl 1300.47021
Ball, Joseph A.; Bolotnikov, Vladimir
1
2013
Extension of the \(\nu\)-metric. Zbl 1272.93046
Ball, Joseph A.; Sasane, Amol J.
5
2012
Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions. Zbl 1276.47008
Bolotnikov, Vladimir; Ball, Joseph A.
5
2012
Canonical transfer-function realization for Schur-Agler-class functions of the polydisk. Zbl 1273.47030
Ball, Joseph A.; Bolotnikov, Vladimir
5
2012
Canonical transfer-function realization for Schur-Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). Zbl 1252.47007
Ball, Joseph A.; Bolotnikov, Vladimir
2
2012
A behavioral interpretation of Livšic systems. Zbl 1256.93057
Ball, Joseph A.; Boquet, Grant M.; Vinnikov, Victor
1
2012
Multidimensional circuit synthesis and multivariable dilation theory. Zbl 1219.47025
Ball, Joseph A.
6
2011
Interpolation in de Branges-Rovnyak spaces. Zbl 1223.30009
Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne
5
2011
Abstract interpolation in vector-valued de Branges-Rovnyak spaces. Zbl 1230.47032
Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne
4
2011
The inverse commutant lifting problem. I: Coordinate-free formalism. Zbl 1244.47010
Ball, Joseph A.; Kheifets, Alexander
1
2011
Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions. Zbl 1210.47041
Ball, Joseph A.; Bolotnikov, Vladimir
13
2010
A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions. Zbl 1196.47013
Ball, Joseph A.; Bolotnikov, Vladimir; Horst, Sanne Ter
7
2010
Robust control, multidimensional systems and multivariable Nevanlinna-Pick interpolation. Zbl 1213.47014
Ball, Joseph A.; ter Horst, Sanne
4
2010
Multivariable operator-valued Nevanlinna-Pick interpolation: a survey. Zbl 1206.47019
Ball, Joseph A.; ter Horst, Sanne
1
2010
Multivariable generalizations of the Schur class: Positive kernel characterization and transfer function realization. Zbl 1156.47018
Ball, Joseph A.; Biswas, Animikh; Fang, Quanlei; ter Horst, Sanne
5
2009
Interpolation problems for Schur multipliers on the Drury–Arveson space: from Nevanlinna–Pick to abstract interpolation problem. Zbl 1170.47006
Ball, Joseph A.; Bolotnikov, Vladimir
10
2008
Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations. Zbl 1223.47012
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
10
2008
Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings. Zbl 1167.93329
Ball, Joseph A.; Kaliuzhnyi-Verbovetskyi, Dmitry S.
5
2008
Lax-Phillips scattering theory and well-posed linear systems: a coordinate-free approach. Zbl 1145.93024
Ball, Joseph A.; Carroll, Philip T.; Uetake, Yoichi
3
2008
Interpolation in the noncommutative Schur–Agler class. Zbl 1164.47023
Ball, Joseph A.; Bolotnikov, Vladimir
10
2007
Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations. Zbl 1199.47061
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
9
2007
Transfer-function realization for multipliers of the Arveson space. Zbl 1126.47011
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
9
2007
Discrete-time dichotomous well-posed linear systems and generalized Schur–Nevanlinna–Pick interpolation. Zbl 1127.47014
Ball, Joseph A.; Raney, Michael W.
8
2007
Multivariable backward-shift-invariant subspaces and observability operators. Zbl 1156.47012
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
7
2007
Conservative structured noncommutative multidimensional linear systems. Zbl 1110.47066
Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit
34
2006
Conservative state-space realizations of dissipative system behaviors. Zbl 1152.93018
Ball, Joseph A.; Staffans, Olof J.
17
2006
Bounded real lemma for structured noncommutative multidimensional linear systems and robust control. Zbl 1125.93334
Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit
12
2006
Equivalence of a behavioral distance and the gap metric. Zbl 1129.93408
Ball, Joseph A.; Sasane, Amol J.
2
2006
Scattering systems with several evolutions and multidimensional input/state/output systems. Zbl 1092.47006
Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor
31
2005
Lax–Phillips scattering and conservative linear system: a Cuntz-algebra multidimensional setting. Zbl 1100.47008
Ball, Joseph A.; Vinnikov, Victor
27
2005
Structured noncommutatitve multidimensional linear systems. Zbl 1139.93006
Ball, Joseph A.; Groenewald, Gilbert; Malakorn, Tanit
26
2005
Functional models for representations of the Cuntz algebra. Zbl 1092.47012
Ball, Joseph A.; Vinnikov, Victor
10
2005
Conservative input-state-output systems with evolution on a multidimensional integer lattice. Zbl 1219.93065
Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor
6
2005
Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). Zbl 1099.47011
Ball, Joseph A.; Bolotnikov, Vladimir
4
2005
State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems. Zbl 1091.93004
Ball, Joseph A.; Mikkola, Kalle M.; Sasane, Amol J.
1
2005
Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\). Zbl 1061.47014
Ball, Joseph A.; Bolotnikov, Vladimir
22
2004
Conservative linear systems, unitary colligations and Lax-Phillips scattering: multidimensional generalizations. Zbl 1073.47533
Ball, Joseph A.; Sadosky, Cora; Vinnikov, Victor
5
2004
Multidimensional linear feedback control systems and interpolation problems for multivariable holomorphic functions. Zbl 1035.93037
Ball, Joseph A.; Malakorn, Tanit
3
2004
Inner-outer factorization for nonlinear noninvertible systems. Zbl 1365.93094
Ball, Joseph A.; Petersen, Mark A.; van der Schaft, Arjan
1
2004
Boundary interpolation for contractive-valued functions on circular domains in \(\mathbb{C}^n\). Zbl 1090.47008
Ball, Joseph A.; Bolotnikov, Vladimir
1
2004
Formal reproducing kernel Hilbert spaces: The commutative and noncommutative settings. Zbl 1084.46018
Ball, Joseph A.; Vinnikov, Victor
21
2003
Overdetermined multidimensional systems: state space and frequency domain methods. Zbl 1050.93044
Ball, Joseph A.; Vinnikov, Victor
12
2003
A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space. Zbl 1038.47009
Ball, Joseph A.; Bolotnikov, Vladimir
5
2003
Nonlinear minimal square spectral factorization. Zbl 1048.93046
Ball, Joseph A.; Petersen, Mark A.
1
2003
On a bitangential interpolation problem for contractive-valued functions on the unit ball. Zbl 1037.47011
Ball, Joseph A.; Bolotnikov, Vladimir
7
2002
A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur–Agler class. Zbl 1015.47004
Ball, Joseph A.; Bolotnikov, Vladimir
5
2002
Robust optimal switching control for nonlinear systems. Zbl 1042.49029
Ball, Joseph A.; Chudoung, Jerawan; Day, Martin V.
4
2002
System theory, operator models and scattering: the time-varying case. Zbl 1019.47009
Alpay, Daniel; Ball, Joseph A.; Peretz, Yossi
3
2002
Toeplitz corona problem for algebras of almost periodic functions. Zbl 1052.46018
Ball, J. A.; Rodman, L.; Spitkovsky, I. M.
2
2002
Concrete interpolation of meromorphic matrix functions on Riemann surfaces. Zbl 1057.30035
Ball, Joseph A.; Clancey, Kevin F.; Vinnikov, Victor
1
2002
Interpolation and commutant lifting for multipliers on reproducing kernel Hilbert spaces. Zbl 0983.47011
Ball, Joseph A.; Trent, Tavan T.; Vinnikov, Victor
74
2001
Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve. Zbl 1051.30035
Ball, Joseph A.; Vinnikov, Victor
8
2001
Linear systems, operator model theory and scattering: Multivariable generalizations. Zbl 0973.93021
Ball, J. A.
10
2000
The abstract interpolation problem and commutant lifting: A coordinate-free approach. Zbl 0952.47017
Ball, Joseph A.; Trent, Tavan T.
3
2000
On the tangential interpolation problem for contractive valued functions in the polydisk. Zbl 0998.47008
Aplay, D.; Ball, J. A.; Bolotnikov, V.
2
2000
Comparison theorems for viscosity solutions of a system of quasivariational inequalities with application to optimal control with switching costs. Zbl 0964.49015
Ball, Joseph A.; Chudoung, Jerawan
1
2000
Problems on the realization of functions. Zbl 0986.93014
Ball, J. A.; Young, N. J.
1
2000
Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix fay trisecant identity. Zbl 0945.47008
Ball, Joseph A.; Vinnikov, Victor
21
1999
A commutant lifting theorem on the polydisc. Zbl 0953.32010
Ball, J. A.; Li, W. S.; Timotin, D.; Trent, T. T.
20
1999
Robust feedback control of a single server queueing system. Zbl 0940.93028
Ball, Joseph A.; Day, Martin V.; Kachroo, Pushkin
5
1999
Robust \(L_2\)-gain control for nonlinear systems with projection dynamics and input constraints: An example from traffic control. Zbl 0946.93015
Ball, Joseph A.; Day, Martin V.; Yu, Tungsheng; Kachroo, Pushkin
4
1999
Reproducing kernels and their applications. Prodeedings of the session of the 1st international congress of the International Society for Analysis, its Applications and Computations (ISAAC’97), Newark, DE, USA, June 3–7, 1997. Zbl 0957.00034
Saitoh, Saburou (ed.); Alpay, Daniel (ed.); Ball, Joseph A. (ed.); Ohsawa, Takeo (ed.)
2
1999
\(H_\infty\) tracking control for a class of nonlinear systems. Zbl 0955.93011
Ball, Joseph A.; Kachroo, Pushkin; Krener, Arthur J.
1
1999
Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables. Zbl 0914.47020
Ball, Joseph A.; Trent, Tavan T.
62
1998
Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions. Zbl 0933.42003
Ball, J. A.; Karlovich, Yu. I.; Rodman, L.; Spitkovsky, I. M.
3
1998
Nudelman interpolation and the band method. Zbl 0898.47008
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
3
1997
Reproducing kernels for Hardy spaces on multiply connected domains. Zbl 0867.30038
Ball, Joseph A.; Clancey, Kevin F.
16
1996
\(J\)-inner-outer factorization, \(J\)-spectral factorization, and robust control for nonlinear systems. Zbl 0848.93010
Ball, Joseph A.; van der Schaft, Arjan J.
14
1996
Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems. Zbl 0861.47010
Ball, Joseph A.; Vinnikov, Victor
11
1996
Viscosity solutions of Hamilton-Jacobi equations arising in nonlinear \(H_ \infty\)-control. Zbl 0844.93035
Ball, Joseph A.; Helton, J. William
9
1996
The band method and Grassmannian approach for completion and extension problems. Zbl 0863.47012
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
5
1996
Commutant lifting and interpolation: The time-varying case. Zbl 0858.47010
Ball, Joseph A.
4
1996
Bitangential interpolation problems for symmetric rational matrix functions. Zbl 0858.15013
Ball, Joseph A.; Kim, Jeongook
2
1996
Two-sided Nudelman interpolation for input-output operators of discrete time-varying systems. Zbl 0824.47016
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
10
1995
A frequency response function for linear, time-varying systems. Zbl 0855.93050
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
5
1995
Pure sub-Jordan operators and simultaneous approximation by a polynomial and its derivative. Zbl 0849.47011
Ball, Joseph A.; Fanney, Thomas R.
3
1995
Errata to: Two-sided tangential interpolation of real rational matrix functions. Zbl 0835.41005
Ball, J. A.; Gohberg, I.; Rodman, L.
75
1994
The two-sided residue interpolation in the Stieltjes class of matrix functions. Zbl 0854.15009
Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
10
1994
Bitangential interpolation for input-output maps of time-varying systems: The continuous time case. Zbl 0808.47013
Ball, J. A.; Gohberg, I.; Kaashoek, M. A.
6
1994
Factorization and feedback stabilization for nonlinear systems. Zbl 0925.93831
Ball, Joseph A.; Verma, Madan
6
1994
Column reduced rational matrix functions with given null-pole data in the complex plane. Zbl 0809.15010
Ball, J. A.; Kaashoek, M. A.; Groenewald, G.; Kim, J.
6
1994
\(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization. Zbl 0794.15012
Alpay, Daniel; Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
5
1994
...and 96 more Documents
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Cited by 918 Authors

83 Ball, Joseph Anthony
73 Alpay, Daniel Aron
55 Bolotnikov, Vladimir
37 Helton, John William
35 Rodman, Leiba X.
30 Gohberg, Israel
30 Vinnikov, Victor
26 Agler, Jim
25 McCullough, Scott A.
22 Kaashoek, Marinus Adriaan
18 McCarthy, John Edward
18 Popescu, Gelu
18 Young, Nicholas John
17 Ran, André C. M.
16 Klep, Igor
14 Chen, Gongning
14 Dym, Harry
14 Fritzsche, Bernd
14 Kirstein, Bernd
13 Arov, Damir Zyamovich
13 Sabadini, Irene
12 Colombo, Fabrizio
12 Kaliuzhnyi-Verbovetskyi, Dmitry S.
11 Hu, Yongjian
11 Jury, Michael T.
11 Sasane, Amol J.
11 Timotin, Dan
11 Woerdeman, Hugo Jan
10 Curtain, Ruth Frances
10 Dijksma, Aad
10 Ionescu, Vlad
10 Lewkowicz, Izchak
10 Sarkar, Jaydeb
9 Knese, Greg
9 Volčič, Jurij
8 Antoulas, Athanasios C.
8 Foiaş, Ciprian Ilie
8 Frazho, Arthur E.
8 Heinig, Georg
8 Rakowski, Marek
8 Tannenbaum, Allen Robert
7 Constantinescu, Tiberiu
7 Dritschel, Michael A.
7 Fang, Quanlei
7 Gu, Caixing
7 Kheifets, Alexander
7 Lerer, Leonid Efimovich
7 Melnikov, Andrey
7 Pascoe, James Eldred
7 Rovnyak, James
7 Shamovich, Eli
7 Tadmor, Gilead
7 ter Horst, Sanne
6 Bickel, Kelly
6 Guo, Kunyu
6 Iglesias, Pablo A.
6 Kailath, Thomas
6 Kim, Jeongook
6 Kimura, Hidenori
6 Kurula, Mikael
6 Langer, Heinz
6 Lasarow, Andreas
6 Loubaton, Philippe
6 Nguang, Sing Kiong
6 Stefanovski, Jovan D.
6 Verma, Madanpal S.
5 Anderson, Brian David Outram
5 Derkach, Vladimir Alexandrovich
5 Dubi, Chen
5 Haria, Kalpesh J.
5 Iftime, Orest V.
5 Jørgensen, Palle E. T.
5 Lykova, Zinaida A.
5 Olivi, Martine
5 Sasu, Adina Luminiţa
5 Sasu, Bogdan
5 Silva, Fernando Conceição
5 Spitkovsky, Ilya Matvey
5 Staffans, Olof Johan
5 Taub, Bart
5 Trent, Tavan T.
5 Tully-Doyle, Ryan
5 Volok, Dan
4 Aliyu, M. D. S.
4 Astolfi, Alessandro
4 Benhida, Chafiq
4 Chen, Chung-Cheng
4 Chen, Guanrong
4 Gohm, Rolf
4 Grinshpan, Anatolii
4 Groenewald, Gilbert J.
4 Hong, Jang-Lee
4 Huang, Hansong
4 Krupnik, Mark
4 Li, Yucheng
4 Martin, Robert T. W.
4 Özbay, Hitay
4 Paulsen, Vern Ival
4 Petersen, Mark Adam
4 Rapisarda, Paolo
...and 818 more Authors
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Cited in 160 Serials

158 Linear Algebra and its Applications
150 Integral Equations and Operator Theory
93 Journal of Functional Analysis
72 Systems & Control Letters
59 Journal of Mathematical Analysis and Applications
54 Automatica
34 Proceedings of the American Mathematical Society
34 Complex Analysis and Operator Theory
26 International Journal of Control
24 Transactions of the American Mathematical Society
18 MCSS. Mathematics of Control, Signals, and Systems
12 Multidimensional Systems and Signal Processing
11 Journal of Computational and Applied Mathematics
10 Linear and Multilinear Algebra
9 Circuits, Systems, and Signal Processing
9 International Journal of Robust and Nonlinear Control
8 Advances in Mathematics
8 European Journal of Control
7 The Journal of Geometric Analysis
6 International Journal of Systems Science
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Rocky Mountain Journal of Mathematics
5 Mathematische Annalen
5 Mathematische Nachrichten
5 Indagationes Mathematicae. New Series
4 Journal of the Franklin Institute
4 Journal of Mathematical Physics
4 Journal für die Reine und Angewandte Mathematik
4 Journal of Soviet Mathematics
4 Zeitschrift für Analysis und ihre Anwendungen
4 Applied Mathematical Modelling
4 Nonlinear Dynamics
4 Computational Methods and Function Theory
4 Operators and Matrices
3 Journal d’Analyse Mathématique
3 Studia Mathematica
3 Journal of Optimization Theory and Applications
3 Mathematical Systems Theory
3 Memoirs of the American Mathematical Society
3 Proceedings of the London Mathematical Society. Third Series
3 SIAM Journal on Control and Optimization
3 Acta Applicandae Mathematicae
3 Optimization
3 Applied Mathematics Letters
3 Mathematical and Computer Modelling
3 Journal of Mathematical Sciences (New York)
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Communications in Mathematical Physics
2 Ukrainian Mathematical Journal
2 Archiv der Mathematik
2 Journal of Approximation Theory
2 Kybernetika
2 Mathematische Zeitschrift
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Constructive Approximation
2 Journal of the American Mathematical Society
2 International Journal of Mathematics
2 International Journal of Adaptive Control and Signal Processing
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 St. Petersburg Mathematical Journal
2 Mathematical Problems in Engineering
2 Journal of Vibration and Control
2 Honam Mathematical Journal
2 Journal of the European Mathematical Society (JEMS)
2 Science China. Mathematics
2 Asian Journal of Control
2 Concrete Operators
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Advances in Applied Probability
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Transport Theory and Statistical Physics
1 Arkiv för Matematik
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Calcolo
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Fuzzy Sets and Systems
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Information Sciences
1 Journal of Algebra
1 Mathematika
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Results in Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
...and 60 more Serials
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Cited in 53 Fields

526 Operator theory (47-XX)
388 Systems theory; control (93-XX)
210 Functional analysis (46-XX)
209 Functions of a complex variable (30-XX)
142 Linear and multilinear algebra; matrix theory (15-XX)
86 Several complex variables and analytic spaces (32-XX)
46 Approximations and expansions (41-XX)
44 Numerical analysis (65-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
32 Algebraic geometry (14-XX)
26 Ordinary differential equations (34-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
21 Probability theory and stochastic processes (60-XX)
18 Information and communication theory, circuits (94-XX)
15 Associative rings and algebras (16-XX)
15 Partial differential equations (35-XX)
15 Operations research, mathematical programming (90-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Commutative algebra (13-XX)
11 Quantum theory (81-XX)
10 Real functions (26-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Integral equations (45-XX)
5 Topological groups, Lie groups (22-XX)
5 Difference and functional equations (39-XX)
5 Computer science (68-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Special functions (33-XX)
4 Integral transforms, operational calculus (44-XX)
4 Mechanics of particles and systems (70-XX)
4 Biology and other natural sciences (92-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Field theory and polynomials (12-XX)
3 Abstract harmonic analysis (43-XX)
2 Combinatorics (05-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Mathematics education (97-XX)

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