Mathematical System Theory

List of Technical Publication of R. E. Kalman.- 1: Axiomatic Framework.- Dynamical Systems, Controllability, and Observability: A Post-Modern Point of View.- 2: Kalman Filtering.- Kalman Filtering: Whence, What and Whither?.- From Kalman Filtering to Innovations, Martingales, Scattering and Other Nice Things.- Kalman Filtering and the Advancement of Navigation and Guidance.- Quantum Kalman Filters.- 3: The LQG Problem.- LQG as a Design Theory.- State-Space H? Control Theory and the LQG Problem.- Unified Continuous and Discrete Time LQG Theory.- 4: The Realization Problem.- Linear Deterministic Realization Theory.- Stochastic Realization Theory.- 5: Linear System Theory: Module Theory.- Algebraic Methods in System Theory.- Module Theory and Linear System Theory.- Models and Modules: Kalman's Approach to Algebraic System Theory.- Linear Realization Theory, Integer Invariants and Feedback Control.- Linear Systems Over Rings: From R. E. Kalman to the Present.- 5: Linear System Theory: Families of Systems.- Invariant Theory and Families of Dynamical Systems.- 5: Linear System Theory: Related Developments.- On the Parametrization of Input-Output Maps for Stable Linear Systems.- Algebraic System Theory, Computer Algebra and Controller Synthesis.- On the Stability of Linear Discrete System and Related Problems.- 6: Identification and Adaptive Control.- Finite Dimensional Linear Stochastic System Identification.- Identification of Dynamic Systems from Noisy Data: The Case m* = 1.- Adaptive Control.- 7: Generalizations to Nonlinear and Distributed Systems.- Kalman's Controllability Rank Condition: From Linear to Nonlinear.- Controllability Revisited.- On the Extensions of Kalman's Canonical Structure Theorem.- Some Remarks on the Control of Distributed Systems.- 8: Influence in Mathematics.- The State Space Method in the Study of Interpolation by Rational Matrix Functions.- The State Space Method for Solving Singular Integral Equations.- 9: Applications.- Algebraic Structure of Convolutional Codes and Algebraic System Theory.- System-Theoretic Trends in Econometrics.- Dynamical Systems That Learn Subspaces.