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Silverman, Leonard M.

Author ID: silverman.leonard-m Recent zbMATH articles by "Silverman, Leonard M."
Published as: Silverman, L. M.; Silverman, Leonard M.; Silverman, L.; Silverman, Leonard M; Silverman, Leonard
Documents Indexed: 52 Publications since 1967
Co-Authors: 30 Co-Authors with 50 Joint Publications
751 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 831 times in 685 Documents Cited by Year
Model reduction via balanced state space representations. Zbl 0482.93024
Pernebo, Lars; Silverman, Leonard M.
150
1982
Input-output structure of linear systems with application to the decoupling problem. Zbl 0242.93030
Silverman, L. M.; Payne, H. J.
65
1971
Controllability and observability in time-variable linear systems. Zbl 0163.11001
Silverman, L. M.; Meadows, H. E.
64
1967
A new set of invariants for linear systems - application to reduced order compensator design. Zbl 0524.93013
Jonckheere, Edmond A.; Silverman, Leonard M.
63
1983
System structure and singular control. Zbl 0522.93021
Hautus, M. L. J.; Silverman, L. M.
52
1983
Singular optimal control: A geometric approach. Zbl 0586.93027
Willems, J. C.; Kítapçi, A.; Silverman, L. M.
42
1986
Characterization of structural controllability. Zbl 0332.93012
Glover, K.; Silverman, L. M.
40
1976
Controllability, observability and stability of linear systems. Zbl 0157.15803
Silverman, L. M.; Anderson, B. D. O.
36
1968
Model matching by state feedback and dynamic compensation. Zbl 0263.93033
Moore, Bruce C.; Silverman, Leonard M.
35
1972
Linear time-variable systems: Balancing and model reduction. Zbl 0517.93014
Shokoohi, Shahriar; Silverman, Leonard M.; van Dooren, Paul M.
34
1983
Approximation of 2-D separable in denominator filters. Zbl 0504.94006
Lashgari, Bijan; Silverman, Leonard M.; Abramatic, Jean-Francois
26
1983
On the discrete time algebraic Riccati equation. Zbl 0297.93036
Payne, Harold J.; Silverman, Leonard M.
25
1973
System structure at infinity. Zbl 0529.93018
Silverman, L. M.; Kitapci, A.
17
1983
Stochastic balancing and approximation-stability and minimality. Zbl 0545.93016
Harshavardhana, P.; Jonckheere, E. A.; Silverman, L. M.
17
1984
Generalizations of a theory of Doležal. Zbl 0207.34004
Silverman, L. M.; Bucy, R. S.
16
1970
Periodic systems: Controllability and the matrix Riccati equation. Zbl 0383.93014
Bittanti, S.; Guardabassi, G.; Maffezzoni, C.; Silverman, L.
15
1978
Spectral theory of the linear-quadratic optimal control problem: a new algorithm for spectral computations. Zbl 0446.93024
Jonckheere, Edmond A.; Silverman, Leonard M.
11
1980
Discrete Riccati equations: Alternative algorithms, asymptotic properties, and system theory interpretations. Zbl 0362.49014
Silverman, Leonard M.
11
1976
Spectral theory of the linear-quadratic optimal control problem: Discrete-time single input case. Zbl 0406.49004
Jonckheere, Edmond A.; Silverman, Leonard M.
11
1978
The equation XR+QY=Phi: a characterization of solutions. Zbl 0466.93017
Emre, E.; Silverman, L. M.
7
1981
The linear-quadratic optimal control problem. The operator theoretic viewpoint. Zbl 0557.93013
Jonckheere, E. A.; Silverman, L. M.
7
1984
Modeling of two-dimensional covariance functions with application to image restoration. Zbl 0273.68070
Powell, Steven R.; Silverman, Leonard M.
7
1974
Partial model matching of linear systems. Zbl 0432.93026
Emre, E.; Silverman, L. M.
7
1980
Equivalent realizations of linear systems. Zbl 0206.14601
Silverman, L. M.; Meadows, H. E.
6
1969
Structure of index-invariant systems. Zbl 0257.93005
Morse, A. S.; Silverman, L. M.
6
1973
Generalized dynamic covers for linear systems with applications to deterministic identification and realization problems. Zbl 0346.93013
Emre, Erol; Silverman, Leonard M.; Glover, Keith
6
1977
New criteria and system theoretic interpretations for relatively prime polynomial matrices. Zbl 0396.93019
Emre, Erol; Silverman, Leonard M.
5
1977
Stable extraction of the Kronecker structure of pencils. Zbl 0428.93011
van Dooren, P.; Emami-Naeini, A.; Silverman, L.
5
1979
Singular value analysis of deformable systems. Zbl 0512.93007
Jonckheere, Edmond A.; Silverman, Leonard M.
4
1982
Linear time-variable systems: Stability of reduced models. Zbl 0534.93037
Shokoohi, Shahriar; Silverman, L. M.; van Dooren, Paul
4
1984
Identification and model reduction of time-varying discrete-time systems. Zbl 0623.93021
Shokoohi, Shahriar; Silverman, Leonard M
4
1987
Recursive estimation of two-dimensional processes with application to image processing. Zbl 0629.93062
Lashgari, Bijan; Silverman, Leonard M.
4
1986
Internal and external stability of linear systems. Zbl 0155.12903
Haines, L. H.; Silverman, L. M.
4
1968
Stochastic balancing and approximation-stability and minimality. Zbl 0545.93017
Harshavardhana, P.; Jonckheere, E. A.; Silverman, L. M.
4
1984
Optimal control in Hilbert spaces. Zbl 0396.49006
Steinberger, M.; Schumitzky, A.; Silverman, L.
3
1977
Minimal dynamic inverses for linear systems with arbitrary initial states. Zbl 0334.93018
Emre, Erol; Silverman, Leonard M.
3
1976
Spectral theory of the linear-quadratic optimal control problem: Analytic factorization of rational matrix-valued functions. Zbl 0459.93030
Jonckheere, Edmond A.; Silverman, Leonard M.
2
1981
K-observers for linear systems with unknown inputs. Zbl 0462.93012
Emre, E.; Silverman, L. M.
2
1980
A system theoretic interpretation for GCD extraction. Zbl 0481.93033
Silverman, L. M.; Van Dooren, P.
2
1981
Nonlinear restoration of noisy images. Zbl 0486.93067
Abramatic, Jean-Francois; Silverman, Leonard M.
2
1982
Balanced realization and approximation of time-variable systems. Zbl 0507.93016
Silverman, L. M.; Shokoohi, Shahriar; van Dooren, Paul
1
1979
Topology induced by the Hankel norm in the space of transfer matrices. Zbl 0508.93041
Jonckheere, E. A.; Safonov, M. G.; Silverman, L. M.
1
1981
Cascade realization of 2-D separable in denominator filters. Zbl 0512.93017
Lashgari, Bijan; Silverman, Leonard M.
1
1983
Maximum likelihood parameter estimation for identifying a class of unknown image blurs. Zbl 0452.68094
Murphy, M. S.; Silverman, L. M.
1
1979
A new characterization of feedforward delay-free inverses. Zbl 0247.94025
Moore, B. C.; Silverman, L. M.
1
1973
Singular optimal filtering. Zbl 0608.93067
Kitapci, Aysin; Jonckheere, Edmond; Silverman, Leonard
1
1986
Spectral theory of linear control and estimation problems. Zbl 0409.93033
Jonckheere, E. A.; Silverman, L. M.
1
1979
Identification and model reduction of time-varying discrete-time systems. Zbl 0623.93021
Shokoohi, Shahriar; Silverman, Leonard M
4
1987
Singular optimal control: A geometric approach. Zbl 0586.93027
Willems, J. C.; Kítapçi, A.; Silverman, L. M.
42
1986
Recursive estimation of two-dimensional processes with application to image processing. Zbl 0629.93062
Lashgari, Bijan; Silverman, Leonard M.
4
1986
Singular optimal filtering. Zbl 0608.93067
Kitapci, Aysin; Jonckheere, Edmond; Silverman, Leonard
1
1986
Stochastic balancing and approximation-stability and minimality. Zbl 0545.93016
Harshavardhana, P.; Jonckheere, E. A.; Silverman, L. M.
17
1984
The linear-quadratic optimal control problem. The operator theoretic viewpoint. Zbl 0557.93013
Jonckheere, E. A.; Silverman, L. M.
7
1984
Linear time-variable systems: Stability of reduced models. Zbl 0534.93037
Shokoohi, Shahriar; Silverman, L. M.; van Dooren, Paul
4
1984
Stochastic balancing and approximation-stability and minimality. Zbl 0545.93017
Harshavardhana, P.; Jonckheere, E. A.; Silverman, L. M.
4
1984
A new set of invariants for linear systems - application to reduced order compensator design. Zbl 0524.93013
Jonckheere, Edmond A.; Silverman, Leonard M.
63
1983
System structure and singular control. Zbl 0522.93021
Hautus, M. L. J.; Silverman, L. M.
52
1983
Linear time-variable systems: Balancing and model reduction. Zbl 0517.93014
Shokoohi, Shahriar; Silverman, Leonard M.; van Dooren, Paul M.
34
1983
Approximation of 2-D separable in denominator filters. Zbl 0504.94006
Lashgari, Bijan; Silverman, Leonard M.; Abramatic, Jean-Francois
26
1983
System structure at infinity. Zbl 0529.93018
Silverman, L. M.; Kitapci, A.
17
1983
Cascade realization of 2-D separable in denominator filters. Zbl 0512.93017
Lashgari, Bijan; Silverman, Leonard M.
1
1983
Model reduction via balanced state space representations. Zbl 0482.93024
Pernebo, Lars; Silverman, Leonard M.
150
1982
Singular value analysis of deformable systems. Zbl 0512.93007
Jonckheere, Edmond A.; Silverman, Leonard M.
4
1982
Nonlinear restoration of noisy images. Zbl 0486.93067
Abramatic, Jean-Francois; Silverman, Leonard M.
2
1982
The equation XR+QY=Phi: a characterization of solutions. Zbl 0466.93017
Emre, E.; Silverman, L. M.
7
1981
Spectral theory of the linear-quadratic optimal control problem: Analytic factorization of rational matrix-valued functions. Zbl 0459.93030
Jonckheere, Edmond A.; Silverman, Leonard M.
2
1981
A system theoretic interpretation for GCD extraction. Zbl 0481.93033
Silverman, L. M.; Van Dooren, P.
2
1981
Topology induced by the Hankel norm in the space of transfer matrices. Zbl 0508.93041
Jonckheere, E. A.; Safonov, M. G.; Silverman, L. M.
1
1981
Spectral theory of the linear-quadratic optimal control problem: a new algorithm for spectral computations. Zbl 0446.93024
Jonckheere, Edmond A.; Silverman, Leonard M.
11
1980
Partial model matching of linear systems. Zbl 0432.93026
Emre, E.; Silverman, L. M.
7
1980
K-observers for linear systems with unknown inputs. Zbl 0462.93012
Emre, E.; Silverman, L. M.
2
1980
Stable extraction of the Kronecker structure of pencils. Zbl 0428.93011
van Dooren, P.; Emami-Naeini, A.; Silverman, L.
5
1979
Balanced realization and approximation of time-variable systems. Zbl 0507.93016
Silverman, L. M.; Shokoohi, Shahriar; van Dooren, Paul
1
1979
Maximum likelihood parameter estimation for identifying a class of unknown image blurs. Zbl 0452.68094
Murphy, M. S.; Silverman, L. M.
1
1979
Spectral theory of linear control and estimation problems. Zbl 0409.93033
Jonckheere, E. A.; Silverman, L. M.
1
1979
Periodic systems: Controllability and the matrix Riccati equation. Zbl 0383.93014
Bittanti, S.; Guardabassi, G.; Maffezzoni, C.; Silverman, L.
15
1978
Spectral theory of the linear-quadratic optimal control problem: Discrete-time single input case. Zbl 0406.49004
Jonckheere, Edmond A.; Silverman, Leonard M.
11
1978
Generalized dynamic covers for linear systems with applications to deterministic identification and realization problems. Zbl 0346.93013
Emre, Erol; Silverman, Leonard M.; Glover, Keith
6
1977
New criteria and system theoretic interpretations for relatively prime polynomial matrices. Zbl 0396.93019
Emre, Erol; Silverman, Leonard M.
5
1977
Optimal control in Hilbert spaces. Zbl 0396.49006
Steinberger, M.; Schumitzky, A.; Silverman, L.
3
1977
Characterization of structural controllability. Zbl 0332.93012
Glover, K.; Silverman, L. M.
40
1976
Discrete Riccati equations: Alternative algorithms, asymptotic properties, and system theory interpretations. Zbl 0362.49014
Silverman, Leonard M.
11
1976
Minimal dynamic inverses for linear systems with arbitrary initial states. Zbl 0334.93018
Emre, Erol; Silverman, Leonard M.
3
1976
Modeling of two-dimensional covariance functions with application to image restoration. Zbl 0273.68070
Powell, Steven R.; Silverman, Leonard M.
7
1974
On the discrete time algebraic Riccati equation. Zbl 0297.93036
Payne, Harold J.; Silverman, Leonard M.
25
1973
Structure of index-invariant systems. Zbl 0257.93005
Morse, A. S.; Silverman, L. M.
6
1973
A new characterization of feedforward delay-free inverses. Zbl 0247.94025
Moore, B. C.; Silverman, L. M.
1
1973
Model matching by state feedback and dynamic compensation. Zbl 0263.93033
Moore, Bruce C.; Silverman, Leonard M.
35
1972
Input-output structure of linear systems with application to the decoupling problem. Zbl 0242.93030
Silverman, L. M.; Payne, H. J.
65
1971
Generalizations of a theory of Doležal. Zbl 0207.34004
Silverman, L. M.; Bucy, R. S.
16
1970
Equivalent realizations of linear systems. Zbl 0206.14601
Silverman, L. M.; Meadows, H. E.
6
1969
Controllability, observability and stability of linear systems. Zbl 0157.15803
Silverman, L. M.; Anderson, B. D. O.
36
1968
Internal and external stability of linear systems. Zbl 0155.12903
Haines, L. H.; Silverman, L. M.
4
1968
Controllability and observability in time-variable linear systems. Zbl 0163.11001
Silverman, L. M.; Meadows, H. E.
64
1967
all top 5

Cited by 888 Authors

15 Anderson, Brian David Outram
10 Geerts, Ton
10 Kučera, Vladimir V.
9 Lam, James
9 Malabre, Michel
9 Paraskevopoulos, Paraskevas N.
8 Fortuna, Luigi
8 Longhi, Sauro
8 Schumacher, Johannes M.
8 Stykel, Tatjana
7 Benner, Peter
7 Grasselli, Osvaldo Maria
7 Jonckheere, Edmond A.
7 Silverman, Leonard M.
7 Sreeram, Victor
6 Chistyakov, Viktor Filimonovich
6 Ntogramatzidis, Lorenzo
6 Saberi, Ali
6 Van Dooren, Paul M.
5 Campbell, Stephen LaVern
5 Commault, Christian
5 Conte, Giuseppe
5 Ferrante, Augusto
5 Fuhrmann, Paul A.
5 Ilchmann, Achim
5 Nunnari, Giuseppe
5 Ober, Raimund J.
5 Perdon, Anna-Maria
5 Scherpen, Jacquelien M. A.
5 Stoorvogel, Anton A.
4 Antoulas, Athanasios C.
4 Arvanitis, Kostas G.
4 Bettayeb, Maamar
4 Camlibel, M. Kanat
4 Chen, Ben M.
4 Clements, David J.
4 Dion, Jean-Michel
4 Emre, Erol
4 Gaĭshun, Ivan Vasil’evich
4 Ionescu, Vlad
4 Martínez García, Juan Carlos
4 Natke, Hans Günther
4 Rabah, Rabah
4 Redmann, Martin
4 Reis, Timo
4 Shieh, Leang-San
4 Trentelman, Harry L.
4 Van der Woude, Jacob Willem
4 Venetsanopoulos, Anastasios N.
3 Basile, Giuseppe
3 Bittanti, Sergio
3 Breiten, Tobias
3 Buscarino, Arturo
3 Davison, Edward Joseph
3 De Moor, Bart L. R.
3 Descusse, Jacques
3 Engwerda, Jacob Christiaan
3 Evans, F. J.
3 Fairman, Frederick W.
3 Frasca, Mattia
3 Gallo, Antonio
3 Glover, Keith
3 Hao, Fei
3 Hinamoto, Takao
3 Jetto, Leopoldo
3 Jiang, Yaolin
3 Kavranoğlu, Davut
3 Kobayashi, Nobuaki
3 Koumboulis, Fotis N.
3 Koussiouris, Trifon G.
3 Laub, Alan J.
3 Liu, Yi
3 Lohmann, Boris
3 Maekawa, Sadao
3 Marro, Giovanni
3 Mercère, Guillaume
3 Mittnik, Stefan
3 Moore, John Barratt
3 Nakamizo, Takayoshi
3 Pal, Debasattam
3 Pang, Shaopeng
3 Perkins, William R.
3 Rabier, Patrick J.
3 Ramos, José Alfredo
3 Rapisarda, Paolo
3 Šebek, Michael
3 Singh, Sahjendra N.
3 Skelton, Robert E.
3 Yadykin, Igor Borisovich
3 Zaitsev, Vasilii Alexandrovich
2 Agathoklis, Panajotis
2 Aksikas, Ilyasse
2 Aldhaheri, Rabah W.
2 Ali, Mukhtar M.
2 Aoki, Masanao
2 Bagheri, Shervin
2 Ball, Joseph Anthony
2 Beck, Carolyn L.
2 Bejarano, Francisco Javier
2 Belur, Madhu N.
...and 788 more Authors
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Cited in 98 Serials

128 International Journal of Control
91 Automatica
64 Linear Algebra and its Applications
63 Systems & Control Letters
46 International Journal of Systems Science
26 Journal of the Franklin Institute
23 Kybernetika
15 Multidimensional Systems and Signal Processing
14 Circuits, Systems, and Signal Processing
12 MCSS. Mathematics of Control, Signals, and Systems
11 Journal of Optimization Theory and Applications
10 European Journal of Control
9 Journal of Mathematical Analysis and Applications
7 SIAM Journal on Control and Optimization
7 Automation and Remote Control
5 International Journal of Control, I. Series
5 International Journal of Systems Science. Principles and Applications of Systems and Integration
4 Computers & Mathematics with Applications
4 Mathematical Systems Theory
4 Numerical Functional Analysis and Optimization
4 Optimization
4 Differential Equations
3 Journal of Computational Physics
3 Physica A
3 Applied Mathematics and Optimization
3 Information Sciences
3 Journal of Computational and Applied Mathematics
3 Journal of Economic Dynamics & Control
3 Applied Mathematical Modelling
3 International Journal of Robust and Nonlinear Control
3 Journal of Mathematical Sciences (New York)
3 Journal of Vibration and Control
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Numerical Algebra, Control and Optimization
2 Applied Mathematics and Computation
2 Integral Equations and Operator Theory
2 Journal of Econometrics
2 Siberian Mathematical Journal
2 Optimal Control Applications & Methods
2 Journal of Symbolic Computation
2 Mathematical and Computer Modelling
2 SIAM Journal on Matrix Analysis and Applications
2 Numerical Algorithms
2 SIAM Journal on Scientific Computing
2 Mathematical and Computer Modelling of Dynamical Systems
2 Archives of Computational Methods in Engineering
2 Nonlinear Analysis. Hybrid Systems
2 Mathematical Control and Related Fields
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Journal of Fluid Mechanics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Stochastics
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 BIT
1 Journal of Approximation Theory
1 Journal of Computer and System Sciences
1 Journal of Functional Analysis
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 Zeitschrift für Nationalökonomie
1 SIAM Journal on Algebraic and Discrete Methods
1 Journal of Time Series Analysis
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Applied Mathematics Letters
1 Economics Letters
1 International Journal of Adaptive Control and Signal Processing
1 Computational Mathematics and Mathematical Physics
1 Journal of Statistical Computation and Simulation
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Stochastic Processes and their Applications
1 Russian Mathematics
1 Advances in Computational Mathematics
1 Journal of Difference Equations and Applications
1 Mathematical Problems in Engineering
1 Nonlinear Dynamics
1 Optimization Methods & Software
1 Journal of Dynamical and Control Systems
1 Journal of Machine Learning Research (JMLR)
1 SIAM Journal on Applied Dynamical Systems
1 Science China. Information Sciences
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 East Asian Journal on Applied Mathematics
1 Journal of Mathematical Modelling and Algorithms in Operations Research
1 SIAM/ASA Journal on Uncertainty Quantification
1 Nonlinear Analysis. Theory, Methods & Applications
1 Bulletin of Computational Applied Mathematics
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Cited in 36 Fields

599 Systems theory; control (93-XX)
77 Linear and multilinear algebra; matrix theory (15-XX)
57 Calculus of variations and optimal control; optimization (49-XX)
51 Ordinary differential equations (34-XX)
41 Numerical analysis (65-XX)
24 Operator theory (47-XX)
18 Information and communication theory, circuits (94-XX)
17 Statistics (62-XX)
16 Combinatorics (05-XX)
14 Approximations and expansions (41-XX)
14 Probability theory and stochastic processes (60-XX)
13 Computer science (68-XX)
12 Mechanics of particles and systems (70-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Operations research, mathematical programming (90-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Difference and functional equations (39-XX)
9 Functional analysis (46-XX)
8 Functions of a complex variable (30-XX)
7 Partial differential equations (35-XX)
6 Fluid mechanics (76-XX)
4 Field theory and polynomials (12-XX)
4 Commutative algebra (13-XX)
4 Integral equations (45-XX)
3 Associative rings and algebras (16-XX)
3 Mechanics of deformable solids (74-XX)
2 History and biography (01-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Real functions (26-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)
1 Geophysics (86-XX)
1 Biology and other natural sciences (92-XX)

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