Ebook: Mathematical System Theory: The Influence of R. E. Kalman

Over the past three decades R.E. Kalman has been one of the most influential personalities in system and control theory. His ideas have been instrumental in a variety of areas. This is a Festschrift honoring his 60th birthday. It contains contributions from leading researchers in the field giving an account of the profound influence of his ideas in a number of areas of active research in system and control theory. For example, since their introduction by Kalman in the early 60's, the concepts of controllability and observability of dynamical systems with inputs, have been the corner stone of the great majority of investigations in the field.

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Content:
Front Matter....Pages I-XI
Introduction....Pages 1-8
List of Technical Publications of R. E. Kalman....Pages 9-13
Front Matter....Pages 15-15
Dynamical Systems, Controllability, and Observability: A Post-Modern Point of View....Pages 17-37
Front Matter....Pages 39-39
Kalman Filtering: Whence, What and Whither?....Pages 41-54
From Kalman Filtering to Innovations, Martingales, Scattering and Other Nice Things....Pages 55-88
Kalman Filtering and the Advancement of Navigation and Guidance....Pages 89-134
Quantum Kalman Filters....Pages 135-143
Front Matter....Pages 145-145
LQG as a Design Theory....Pages 147-157
Unified Continuous and Discrete Time LQG Theory....Pages 159-176
Front Matter....Pages 177-188
Linear Deterministic Realization Theory....Pages 189-189
Stochastic Realization Theory....Pages 191-212
Front Matter....Pages 213-229
Algebraic Methods in System Theory....Pages 231-231
Module Theory and Linear System Theory....Pages 233-265
Models and Modules: Kalman’s Approach to Algebraic System Theory....Pages 267-278
Linear Realization Theory, Integer Invariants and Feedback Control....Pages 279-293
Linear Systems Over Rings: From R. E. Kalman to the Present....Pages 295-309
Front Matter....Pages 311-324
Invariant Theory and Families of Dynamical Systems....Pages 325-325
Front Matter....Pages 327-342
On the Parametrization of Input—Output Maps for Stable Linear Systems....Pages 343-343
Algebraic System Theory, Computer Algebra and Controller Synthesis....Pages 345-354
Front Matter....Pages 355-370
On the Stability of Linear Discrete Systems and Related Problems....Pages 343-343
Front Matter....Pages 371-385
Finite Dimensional Linear Stochastic System Identification....Pages 387-387
Identification of Dynamic Systems from Noisy Data: The Case m* = 1....Pages 389-422
Adaptive Control....Pages 423-435
Front Matter....Pages 437-450
Kalman’s Controllability Rank Condition: From Linear to Nonlinear....Pages 451-451
Controllability Revisited....Pages 453-462
On the Extensions of Kalman’s Canonical Structure Theorem....Pages 463-474
Some Remarks on the Control of Distributed Systems....Pages 475-489
Front Matter....Pages 491-500
The State Space Method in the Study of Interpolation by Rational Matrix Functions....Pages 501-501
The State Space Method for Solving Singular Integral Equations....Pages 503-508
Front Matter....Pages 509-523
Algebraic Structure of Convolutional Codes, and Algebraic System Theory....Pages 525-525
System-Theoretic Trends in Econometrics....Pages 527-557
Dynamical Systems that Learn Subspaces....Pages 559-577
Back Matter....Pages 579-592
....Pages 593-605