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Kalman, Rudolf Emil (b. 1930 d. 2016)

Author ID: kalman.rudolf-e Recent zbMATH articles by "Kalman, Rudolf Emil"
Published as: Kalman, R. E.; Kalman, Rudolf E.; Kalman, Rudolf; Kalman, R.
Further Spellings: Kálmán Rudolf Emil
External Links: MacTutor · MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 53 Publications since 1957, including 2 Books
1 Contribution as Editor · 4 Further Contributions
Biographic References: 22 Publications
Co-Authors: 16 Co-Authors with 16 Joint Publications
312 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 2,193 times in 1,892 Documents Cited by Year
Topics in mathematical system theory. Zbl 0231.49001
Kalman, R. E.; Falb, P. L.; Arbib, M. A.
595
1969
Contributions to the theory of optimal control. Zbl 0112.06303
Kalman, R. E.
332
1960
Mathematical description of linear dynamical systems. Zbl 0145.34301
Kalman, R. E.
266
1963
Lyapunov functions for the problem of Lur’e in automatic control. Zbl 0113.07701
Kalman, R. E.
144
1963
Effective construction of linear state-variable models from input/output functions. Zbl 0145.12701
Ho, B. L.; Kalman, R. E.
107
1966
Controllability of linear dynamical systems. Zbl 0151.13303
Kalman, R. E.; Ho, Y. C.; Narendra, K. S.
100
1963
On partial realizations, transfer functions, and canonical forms. Zbl 0424.93020
Kalman, R. E.
68
1979
New methods in Wiener filtering theory. Zbl 0218.93019
Kalman, R. E.
46
1963
What is a statistical model? (With comments and rejoinder). Zbl 1039.62003
McCullagh, Peter
46
2002
Canonical structure of linear dynamical systems. Zbl 0249.34005
Kalman, R. E.
43
1962
Kronecker invariants and feedback. Zbl 0308.93008
Kalman, R. E.
38
1972
Irreducible realizations and the degree of a rational matrix. Zbl 0161.06704
Kalman, R. E.
36
1965
Lectures on controllability and observability. Zbl 0208.17201
Kalman, R. E.
33
1969
Nonlinear aspects of sampled-data control-systems. Zbl 0081.34901
Kalman, R. E.
32
1957
A unified approach to the theory of sampling systems. Zbl 0142.07004
Kalman, R. E.; Bertram, J. E.
30
1959
The theory of optimal control and the calculus of variations. Zbl 0123.08202
Kalman, R. E.
29
1963
Identification of noisy systems. Zbl 0608.93068
Kalman, R. E.
23
1985
Algebraic structure of linear dynamical systems. III: Realization theory over a commutative ring. Zbl 0264.34058
Rouchaleau, Yves; Wyman, Bostwick F.; Kalman, R. E.
22
1972
Not all (possibly) “random” sequences are created equal. Zbl 0873.11047
Pincus, Steve; Kalman, Rudolf E.
19
1997
Algebraic characterization of polynomials whose zeros lie in certain algebraic domains. Zbl 0212.06402
Kalman, R. E.
18
1969
On invariants, canonical forms and moduli for linear, constant, finite dimensional, dynamical systems. Zbl 0339.93007
Hazewinkel, Michiel; Kalman, Rudolf E.
18
1976
Control of randomly varying linear dynamical systems. Zbl 0107.35102
Kalman, R. E.
18
1962
Algebraic structure of linear dynamical systems. I: The module of \(\sigma\). Zbl 0144.11604
Kalman, R. E.
18
1965
Topics in mathematical system theory. (Ocherki po matematicheskoj teorii sistem.) Übersetzung aus dem Englischen von Eh. L. Nappel’baum. Herausgegeben von Ya. Z. Tsypkin. Zbl 0231.49002
Kalman, R. E.; Falb, Pl. L.; Arbib, M. A.
18
1971
On the Hermite-Fujiwara theorem in stability theory. Zbl 0136.25501
Kalman, R. E.
13
1965
Realization of covariance sequences. Zbl 0484.93031
Kalman, R. E.
12
1982
Contributions to linear system theory. Zbl 0136.08702
Weiss, Leonard; Kalman, R. E.
12
1965
Sur la stabilité absolue d’un système d’équations aux différences finies. Zbl 0117.30901
Szegö, Gábor; Kalman, R.
11
1963
Identifiability and modeling in econometrics. Zbl 0556.62088
Kalman, R. E.
10
1983
Algebraic theory of linear systems. Zbl 0149.05302
Kalman, R. E.
9
1966
Irregularity, volatility, risk, and financial market time series. Zbl 1064.91061
Pincus, Steve; Kalman, Rudolf E.
9
2004
Introduction to the algebraic theory of linear dynamical systems. Zbl 0183.37103
Kalman, R. E.
8
1969
Randomness reexamined. Zbl 0865.60003
Kalman, R. E.
7
1994
Algebraic aspects of the theory of dynamical systems. Zbl 0207.39501
Kalman, R. E.
7
1967
Algebraic aspects of the generalized inverse of a rectangular matrix. Zbl 0369.15002
Kalman, R. E.
7
1976
New algebraic methods in stability theory. Zbl 0255.93019
Kalman, R. E.
6
1970
Realization of continuous-time linear dynamical systems: rigorous theory in the style of Schwartz. Zbl 0321.34037
Kalman, R. E.; Hautus, M. L. J.
6
1972
Old and new directions of research in system theory. Zbl 1285.94003
Kalman, Rudolf
6
2010
On the computation of the reachable/observable canonical form. Zbl 0482.93020
Kalman, R. E.
4
1982
We can do something about multicollinearity! Zbl 0569.62100
Kalman, R. E.
3
1984
Identifiability and problems of model selection in econometrics. Zbl 0538.62095
Kalman, R. E.
2
1982
Some computational problems and methods related to invariant factors and control theory. Zbl 0211.04801
Kalman, R. E.
2
1970
Pattern recognition properties of multilinear response functions. I. Zbl 0474.93033
Kalman, R. E.
2
1980
Probability in the real world as a system attribute. Zbl 1010.00513
Kalman, R. E.
2
1996
Current developments in the interface: economics, econometrics, mathematics. State of the art surveys presented on the occasion of the 25th Anniversary of the Econometric Institute (Netherlands School of Economics), Erasmus University, Rotterdam, January 1982. Zbl 0498.90001
1
1982
Identification of noisy systems. Zbl 0850.93855
Kalman, R. E.
1
1988
A theory for the identification of linear relations. Zbl 0746.62067
Kalman, R. E.
1
1991
Random processes. Multiplicity theory and canonical decompositions. Zbl 0364.60005
1
1973
Old and new directions of research in system theory. Zbl 1285.94003
Kalman, Rudolf
6
2010
Irregularity, volatility, risk, and financial market time series. Zbl 1064.91061
Pincus, Steve; Kalman, Rudolf E.
9
2004
What is a statistical model? (With comments and rejoinder). Zbl 1039.62003
McCullagh, Peter
46
2002
Not all (possibly) “random” sequences are created equal. Zbl 0873.11047
Pincus, Steve; Kalman, Rudolf E.
19
1997
Probability in the real world as a system attribute. Zbl 1010.00513
Kalman, R. E.
2
1996
Randomness reexamined. Zbl 0865.60003
Kalman, R. E.
7
1994
A theory for the identification of linear relations. Zbl 0746.62067
Kalman, R. E.
1
1991
Identification of noisy systems. Zbl 0850.93855
Kalman, R. E.
1
1988
Identification of noisy systems. Zbl 0608.93068
Kalman, R. E.
23
1985
We can do something about multicollinearity! Zbl 0569.62100
Kalman, R. E.
3
1984
Identifiability and modeling in econometrics. Zbl 0556.62088
Kalman, R. E.
10
1983
Realization of covariance sequences. Zbl 0484.93031
Kalman, R. E.
12
1982
On the computation of the reachable/observable canonical form. Zbl 0482.93020
Kalman, R. E.
4
1982
Identifiability and problems of model selection in econometrics. Zbl 0538.62095
Kalman, R. E.
2
1982
Current developments in the interface: economics, econometrics, mathematics. State of the art surveys presented on the occasion of the 25th Anniversary of the Econometric Institute (Netherlands School of Economics), Erasmus University, Rotterdam, January 1982. Zbl 0498.90001
1
1982
Pattern recognition properties of multilinear response functions. I. Zbl 0474.93033
Kalman, R. E.
2
1980
On partial realizations, transfer functions, and canonical forms. Zbl 0424.93020
Kalman, R. E.
68
1979
On invariants, canonical forms and moduli for linear, constant, finite dimensional, dynamical systems. Zbl 0339.93007
Hazewinkel, Michiel; Kalman, Rudolf E.
18
1976
Algebraic aspects of the generalized inverse of a rectangular matrix. Zbl 0369.15002
Kalman, R. E.
7
1976
Random processes. Multiplicity theory and canonical decompositions. Zbl 0364.60005
1
1973
Kronecker invariants and feedback. Zbl 0308.93008
Kalman, R. E.
38
1972
Algebraic structure of linear dynamical systems. III: Realization theory over a commutative ring. Zbl 0264.34058
Rouchaleau, Yves; Wyman, Bostwick F.; Kalman, R. E.
22
1972
Realization of continuous-time linear dynamical systems: rigorous theory in the style of Schwartz. Zbl 0321.34037
Kalman, R. E.; Hautus, M. L. J.
6
1972
Topics in mathematical system theory. (Ocherki po matematicheskoj teorii sistem.) Übersetzung aus dem Englischen von Eh. L. Nappel’baum. Herausgegeben von Ya. Z. Tsypkin. Zbl 0231.49002
Kalman, R. E.; Falb, Pl. L.; Arbib, M. A.
18
1971
New algebraic methods in stability theory. Zbl 0255.93019
Kalman, R. E.
6
1970
Some computational problems and methods related to invariant factors and control theory. Zbl 0211.04801
Kalman, R. E.
2
1970
Topics in mathematical system theory. Zbl 0231.49001
Kalman, R. E.; Falb, P. L.; Arbib, M. A.
595
1969
Lectures on controllability and observability. Zbl 0208.17201
Kalman, R. E.
33
1969
Algebraic characterization of polynomials whose zeros lie in certain algebraic domains. Zbl 0212.06402
Kalman, R. E.
18
1969
Introduction to the algebraic theory of linear dynamical systems. Zbl 0183.37103
Kalman, R. E.
8
1969
Algebraic aspects of the theory of dynamical systems. Zbl 0207.39501
Kalman, R. E.
7
1967
Effective construction of linear state-variable models from input/output functions. Zbl 0145.12701
Ho, B. L.; Kalman, R. E.
107
1966
Algebraic theory of linear systems. Zbl 0149.05302
Kalman, R. E.
9
1966
Irreducible realizations and the degree of a rational matrix. Zbl 0161.06704
Kalman, R. E.
36
1965
Algebraic structure of linear dynamical systems. I: The module of \(\sigma\). Zbl 0144.11604
Kalman, R. E.
18
1965
On the Hermite-Fujiwara theorem in stability theory. Zbl 0136.25501
Kalman, R. E.
13
1965
Contributions to linear system theory. Zbl 0136.08702
Weiss, Leonard; Kalman, R. E.
12
1965
Mathematical description of linear dynamical systems. Zbl 0145.34301
Kalman, R. E.
266
1963
Lyapunov functions for the problem of Lur’e in automatic control. Zbl 0113.07701
Kalman, R. E.
144
1963
Controllability of linear dynamical systems. Zbl 0151.13303
Kalman, R. E.; Ho, Y. C.; Narendra, K. S.
100
1963
New methods in Wiener filtering theory. Zbl 0218.93019
Kalman, R. E.
46
1963
The theory of optimal control and the calculus of variations. Zbl 0123.08202
Kalman, R. E.
29
1963
Sur la stabilité absolue d’un système d’équations aux différences finies. Zbl 0117.30901
Szegö, Gábor; Kalman, R.
11
1963
Canonical structure of linear dynamical systems. Zbl 0249.34005
Kalman, R. E.
43
1962
Control of randomly varying linear dynamical systems. Zbl 0107.35102
Kalman, R. E.
18
1962
Contributions to the theory of optimal control. Zbl 0112.06303
Kalman, R. E.
332
1960
A unified approach to the theory of sampling systems. Zbl 0142.07004
Kalman, R. E.; Bertram, J. E.
30
1959
Nonlinear aspects of sampled-data control-systems. Zbl 0081.34901
Kalman, R. E.
32
1957
all top 5

Cited by 2,396 Authors

25 Fuhrmann, Paul A.
19 Anderson, Brian David Outram
17 Helmke, Uwe R.
15 Kaashoek, Marinus Adriaan
14 Rusanov, Vyacheslav Anatolievich
14 Willems, Jan Camiel
13 Alpay, Daniel Aron
12 Gohberg, Israel
12 Kučera, Vladimir V.
11 Formalskii, Alexander M.
10 Grasselli, Osvaldo Maria
10 Hinrichsen, Diederich
10 Kvitko, Aleksandr Nikolaevich
10 Lerer, Leonid Efimovich
10 Sakhnovich, Alexander L.
9 Belishev, Mikhail Igorevitch
9 Casti, John L.
9 Sontag, Eduardo D.
9 Yakubovich, Vladimir Andreevich
9 Zhang, Huanshui
8 Anan’evskiĭ, Igor M.
8 Arbib, Michael A.
8 Bart, Harm
8 Lindquist, Anders Gunnar
8 Longhi, Sauro
8 Metel’skij, A. V.
8 Morozov, Victor M.
8 Osetinskii, N. I.
8 Sukavanam, Nagarajan
8 Wimmer, Harald K.
8 Wyman, Bostwick F.
7 Antoulas, Athanasios C.
7 Arvanitis, Kostas G.
7 Krasovskiĭ, Nikolaĭ Nikolaevich
7 Lakeyev, Anatoliĭ Valentinovich
7 Manthey, Wilfried
7 Marchenko, Vladimir M.
7 Pincus, Steve
7 Rodman, Leiba X.
7 Van Dooren, Paul M.
6 Arov, Damir Zyamovich
6 Barnett, Stephen
6 Bittanti, Sergio
6 Bultheel, Adhemar François
6 Carriegos, Miguel V.
6 Deistler, Manfred
6 Fliess, Michel
6 Fradkov, Aleksandr L’vovich
6 Gevers, Michel R.
6 González-Burgos, Manuel
6 Kalenova, Vera I.
6 Linke, Yuriĭ Èrnievich
6 Manes, Ernest G.
6 Minyuk, S. A.
6 Moore, John Barratt
6 Pandolfi, Luciano
6 Prätzel-Wolters, Dieter
6 Van Barel, Marc
5 Ball, Joseph Anthony
5 Benabdallah, Assia
5 Bernstein, Dennis S.
5 Boley, Daniel L.
5 Byrnes, Christopher Ian
5 Chen, Tongwen
5 Costanza, Vicente
5 Daneev, Aleksey Vasilyevich
5 Dauer, Jerald P.
5 De Moor, Bart L. R.
5 DeCastro-García, Noemí
5 Delforge, Jacques
5 Fu, Minyue
5 Hammer, Jacob
5 Haq, Abdul
5 Johnson, C. D.
5 Kaczorek, Tadeusz
5 Kalman, Rudolf Emil
5 Kokotovic, Petar V.
5 Ku, Yu-Hsiung
5 Li, Tatsien
5 Michaletzky, Gyórgy
5 Ovseevich, Aleksandr Iosifovich
5 Paraskevopoulos, Paraskevas N.
5 Picci, Giorgio
5 Puerta, Ferran
5 Pushkov, Sergey G.
5 Ran, André C. M.
5 Rao, Bopeng
5 Reis, Timo
5 Rivadeneira, Pablo S.
5 Rosenbrock, Howard Harry
5 Shorten, Robert N.
5 Trenn, Stephan
5 Van den Hof, Paul M. J.
5 Vinnikov, Victor L.
5 Violet, Grey
5 Zaballa, Ion
5 Zhang, Qinghua
4 Ammar-Khodja, Farid
4 Aoustin, Yannick
4 Baragaña, Itziar
...and 2,296 more Authors
all top 5

Cited in 324 Serials

187 Automatica
140 Linear Algebra and its Applications
119 Systems & Control Letters
94 International Journal of Control
68 Journal of the Franklin Institute
56 Journal of Mathematical Analysis and Applications
50 Journal of Optimization Theory and Applications
42 Automation and Remote Control
32 Kybernetika
32 International Journal of Control, I. Series
30 International Journal of Systems Science
29 Mathematical Systems Theory
26 Differential Equations
25 Applied Mathematics and Computation
22 Integral Equations and Operator Theory
22 Journal of Differential Equations
21 Journal of Computer and Systems Sciences International
19 SIAM Journal on Control and Optimization
19 European Journal of Control
18 Journal of Applied Mathematics and Mechanics
18 Mathematical Biosciences
18 Journal of Mathematical Sciences (New York)
17 Information Sciences
17 MCSS. Mathematics of Control, Signals, and Systems
16 Mathematical Problems in Engineering
14 Journal of Computational and Applied Mathematics
14 Siberian Mathematical Journal
14 Optimal Control Applications & Methods
14 International Journal of Robust and Nonlinear Control
13 Physica A
13 International Journal of Systems Science. Principles and Applications of Systems and Integration
12 Circuits, Systems, and Signal Processing
11 Computers & Mathematics with Applications
11 Journal of Computer and System Sciences
11 Journal of Functional Analysis
11 Acta Applicandae Mathematicae
11 PMM, Journal of Applied Mathematics and Mechanics
10 Cybernetics and Systems Analysis
10 Doklady Mathematics
8 International Journal of General Systems
8 Chaos, Solitons and Fractals
8 Mathematics and Computers in Simulation
8 Journal of Systems Science and Complexity
8 Nonlinear Analysis. Theory, Methods & Applications
7 Theoretical Computer Science
6 Journal of Mathematical Physics
6 Prikladnaya Matematika i Mekhanika
6 Computational Mathematics and Modeling
6 Proceedings of the National Academy of Sciences of the United States of America
6 Journal of Applied Mathematics and Computing
6 Asian Journal of Control
6 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
6 Evolution Equations and Control Theory
5 Applied Mathematics and Optimization
5 Journal of Pure and Applied Algebra
5 Kybernetes
5 Multidimensional Systems and Signal Processing
5 Computational Mathematics and Mathematical Physics
5 SIAM Review
5 Nonlinear Dynamics
5 Differentsial’nye Uravneniya i Protsessy Upravleniya
4 Inverse Problems
4 Physics Reports
4 Bulletin of Mathematical Biology
4 Mathematische Nachrichten
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Cybernetics and Systems
4 Journal of Time Series Analysis
4 Information and Computation
4 Numerical Algorithms
4 SIAM Journal on Scientific Computing
4 Computational and Applied Mathematics
4 Multibody System Dynamics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Nonlinear Analysis. Hybrid Systems
3 Mathematical Methods in the Applied Sciences
3 Psychometrika
3 International Journal of Circuit Theory and Applications
3 Journal of Econometrics
3 Numerische Mathematik
3 Proceedings of the American Mathematical Society
3 Results in Mathematics
3 Optimization
3 Applied Mathematics Letters
3 SIAM Journal on Matrix Analysis and Applications
3 Journal of Scientific Computing
3 Archives of Control Sciences
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Communications in Nonlinear Science and Numerical Simulation
3 International Journal of Applied Mathematics and Computer Science
3 Complex Analysis and Operator Theory
3 Discrete and Continuous Dynamical Systems. Series S
3 Numerical Algebra, Control and Optimization
2 Archive for Rational Mechanics and Analysis
2 Biological Cybernetics
2 Bulletin of the Australian Mathematical Society
2 Computer Methods in Applied Mechanics and Engineering
2 Communications on Pure and Applied Mathematics
2 Discrete Applied Mathematics
2 International Journal of Theoretical Physics
...and 224 more Serials
all top 5

Cited in 59 Fields

1,387 Systems theory; control (93-XX)
193 Calculus of variations and optimal control; optimization (49-XX)
190 Ordinary differential equations (34-XX)
176 Linear and multilinear algebra; matrix theory (15-XX)
107 Operator theory (47-XX)
89 Numerical analysis (65-XX)
78 Computer science (68-XX)
76 Statistics (62-XX)
72 Probability theory and stochastic processes (60-XX)
59 Operations research, mathematical programming (90-XX)
58 Dynamical systems and ergodic theory (37-XX)
58 Information and communication theory, circuits (94-XX)
57 Partial differential equations (35-XX)
54 Mechanics of particles and systems (70-XX)
53 Biology and other natural sciences (92-XX)
43 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
38 Functions of a complex variable (30-XX)
37 Functional analysis (46-XX)
31 Combinatorics (05-XX)
30 Commutative algebra (13-XX)
27 Approximations and expansions (41-XX)
21 Difference and functional equations (39-XX)
19 Category theory; homological algebra (18-XX)
18 Number theory (11-XX)
18 Integral equations (45-XX)
16 Associative rings and algebras (16-XX)
15 Quantum theory (81-XX)
13 Mechanics of deformable solids (74-XX)
12 Field theory and polynomials (12-XX)
12 Algebraic geometry (14-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Real functions (26-XX)
9 History and biography (01-XX)
7 Integral transforms, operational calculus (44-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Fluid mechanics (76-XX)
6 General and overarching topics; collections (00-XX)
6 Mathematical logic and foundations (03-XX)
5 Nonassociative rings and algebras (17-XX)
5 Group theory and generalizations (20-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Sequences, series, summability (40-XX)
5 Algebraic topology (55-XX)
5 Manifolds and cell complexes (57-XX)
4 Special functions (33-XX)
4 Differential geometry (53-XX)
4 General topology (54-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Measure and integration (28-XX)
2 General algebraic systems (08-XX)
2 Geometry (51-XX)
2 Optics, electromagnetic theory (78-XX)
2 Geophysics (86-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Mathematics education (97-XX)

Citations by Year

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