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Inhaltsverzeichnis
1 Basic concepts and statement of problems in control theory. - 1. 1 Initial Premises. - 1. 2 Basic concepts of control theory. - 1. 3 Modelling of control objects and their general characteristics. - 1. 4 Precising the statement of the control problem. - 2 Finite time period control. - 2. 1 Dynamic programming. - 2. 2 Stochastic control systems. - 2. 3 Stochastic dynamic programming. - 2. 4 Bayesian control strategy. - 2. 5 Linear quadratic Gaussian Problem. - 2. A Appendix. - 2. P Proofs of lemmas and theorems. - 3 Infinite time period control. - 3. 1 Stabilitzation of dynamic systems using Liapunov s method. - 3. 2 Discrete form for analytical design of regulators. - 3. 3 Transfer function method in linear optimization problem. - 3. 4 Limiting optimal control of stochastic processes. - 3. 5 Minimax control. - 3. A Appendix. - 3. P Proofs of the lemmas and theorems. - 4 Adaptive linear control systems with bounded noise. - 4. 1 Fundamentals of adaptive control. - 4. 2 Existence of adaptive control strategy in a minimax control problem. - 4. 3 Self-tuning systems. - 4. P Proofs of the lemmas and theorems. - 5 The problem of dynamic system identification. - 5. 1 Optimal recursive estimation. - 5. 2 The Kalman-Bucy filter for tracking the parameter drift in dynamic systems. - 5. 3 Recursive estimation. - 5. 4 Identification of a linear control object in the presence of correlated noise. - 5. 5 Identification of control objects using test signals. - 5. P Proofs of lemmas and theorems. - 6 Adaptive control of stochastic systems. - 6. 1 Dual control. - 6. 2 Initial synthesis of adaptive control strategy in presence of the correlated noise. - 6. 3 Design of the adaptive minimax control. - 6. P Proofs of the lemmas and the theorems. - Comments. - References. - Operators and Notational Conventions.
