| General Characteristic of Control Systems | p. 1 |
| Subject and Scope of Control Theory | p. 1 |
| Basic Terms | p. 2 |
| Control Plant | p. 4 |
| Controller | p. 6 |
| Classification of Control Systems | p. 7 |
| Classification with Respect to Connection Between Plant and Controller | p. 7 |
| Classification with Respect to Control Goal | p. 9 |
| Other Cases | p. 11 |
| Stages of Control System Design | p. 13 |
| Relations Between Control Science and Related Areas in Science and Technology | p. 14 |
| Character, Scope and Composition of the Book | p. 15 |
| Formal Models of Control Systems | p. 17 |
| Description of a Signal | p. 17 |
| Static Plant | p. 18 |
| Continuous Dynamical Plant | p. 19 |
| State Vector Description | p. 20 |
| "Input-output" Description by Means of Differential Equation | p. 24 |
| Operational Form of "Input-output" Description | p. 25 |
| Discrete Dynamical Plant | p. 29 |
| Control Algorithm | p. 31 |
| Introduction to Control System Analysis | p. 33 |
| Continuous System | p. 35 |
| Discrete System | p. 37 |
| Control for the Given State (the Given Output) | p. 41 |
| Control of a Static Plant | p. 41 |
| Control of a Dynamical Plant. Controllability | p. 44 |
| Control of a Measurable Plant in the Closed-loop System | p. 47 |
| Observability | p. 50 |
| Control with an Observer in the Closed-loop System | p. 55 |
| Structural Approach | p. 59 |
| Additional Remarks | p. 62 |
| Optimal Control with Complete Information on the Plant | p. 65 |
| Control of a Static Plant | p. 65 |
| Problems of Optimal Control for Dynamical Plants | p. 69 |
| Discrete Plant | p. 69 |
| Continuous Plant | p. 72 |
| Principle of Optimality and Dynamic Programming | p. 74 |
| Bellman Equation | p. 79 |
| Maximum Principle | p. 85 |
| Linear-quadratic Problem | p. 93 |
| Parametric Optimization | p. 97 |
| General Idea of Parametric Optimization | p. 97 |
| Continuous Linear Control System | p. 99 |
| Discrete Linear Control System | p. 105 |
| System with the Measurement of Disturbances | p. 107 |
| Typical Forms of Control Algorithms in Closed-loop Systems | p. 110 |
| Linear Controller | p. 111 |
| Two-position Controller | p. 112 |
| Neuron-like Controller | p. 112 |
| Fuzzy Controller | p. 113 |
| Application of Relational Description of Uncertainty | p. 117 |
| Uncertainty and Relational Knowledge Representation | p. 117 |
| Analysis Problem | p. 122 |
| Decision Making Problem | p. 127 |
| Dynamical Relational Plant | p. 130 |
| Determinization | p. 136 |
| Application of Probabilistic Descriptions of Uncertainty | p. 143 |
| Basic Problems for Static Plant and Parametric Uncertainty | p. 143 |
| Basic Problems for Static Plant and Non-parametric Uncertainty | p. 152 |
| Control of Static Plant Using Results of Observations | p. 157 |
| Indirect Approach | p. 158 |
| Direct Approach | p. 164 |
| Application of Games Theory | p. 165 |
| Basic Problem for Dynamical Plant | p. 170 |
| Stationary Stochastic Process | p. 174 |
| Analysis and Parametric Optimization of Linear Closed-loop Control System with Stationary Stochastic Disturbances | p. 178 |
| Non-parametric Optimization of Linear Closed-loop Control System with Stationary Stochastic Disturbances | p. 183 |
| Relational Plant with Random Parameter | p. 188 |
| Uncertain Variables and Their Applications | p. 193 |
| Uncertain Variables | p. 193 |
| Application of Uncertain Variables to Analysis and Decision Making (Control) for Static Plant | p. 201 |
| Parametric Uncertainty | p. 201 |
| Non-parametric Uncertainty | p. 205 |
| Relational Plant with Uncertain Parameter | p. 211 |
| Control for Dynamical Plants. Uncertain Controller | p. 216 |
| Fuzzy Variables, Analogies and Soft Variables | p. 221 |
| Fuzzy Sets and Fuzzy Numbers | p. 221 |
| Application of Fuzzy Description to Decision Making (Control) for Static Plant | p. 228 |
| Plant without Disturbances | p. 228 |
| Plant with External Disturbances | p. 233 |
| Comparison of Uncertain Variables with Random and Fuzzy Variables | p. 238 |
| Comparisons and Analogies for Non-parametric Problems | p. 242 |
| Introduction to Soft Variables | p. 246 |
| Descriptive and Prescriptive Approaches. Quality of Decisions | p. 249 |
| Control for Dynamical Plants. Fuzzy Controller | p. 255 |
| Control in Closed-loop System. Stability | p. 259 |
| General Problem Description | p. 259 |
| Stability Conditions for Linear Stationary System | p. 264 |
| Continuous System | p. 264 |
| Discrete System | p. 266 |
| Stability of Non-linear and Non-stationary Discrete Systems | p. 270 |
| Stability of Non-linear and Non-stationary Continuous Systems | p. 277 |
| Special Case. Describing Function Method | p. 278 |
| Stability of Uncertain Systems. Robustness | p. 282 |
| An Approach Based on Random and Uncertain Variables | p. 291 |
| Convergence of Static Optimization Process | p. 295 |
| Adaptive and Learning Control Systems | p. 299 |
| General Concepts of Adaptation | p. 299 |
| Adaptation via Identification for Static Plant | p. 303 |
| Adaptation via Identification for Dynamical Plant | p. 309 |
| Adaptation via Adjustment of Controller Parameters | p. 311 |
| Learning Control System Based on Knowledge of the Plant | p. 313 |
| Knowledge Validation and Updating | p. 314 |
| Learning Algorithm for Decision Making in Closed-loop System | p. 317 |
| Learning Control System Based on Knowledge of Decisions | p. 319 |
| Knowledge Validation and Updating | p. 319 |
| Learning Algorithm for Control in Closed-loop System | p. 321 |
| Intelligent and Complex Control Systems | p. 327 |
| Introduction to Artificial Intelligence | p. 327 |
| Logical Knowledge Representation | p. 328 |
| Analysis and Decision Making Problems | p. 332 |
| Logic-algebraic Method | p. 334 |
| Neural Networks | p. 341 |
| Applications of Neural Networks in Control Systems | p. 346 |
| Neural Network as a Controller | p. 346 |
| Neural Network in Adaptive System | p. 348 |
| Decomposition and Two-level Control | p. 349 |
| Control of Complex Plant with Cascade Structure | p. 355 |
| Control of Plant with Two-level Knowledge Representation | p. 358 |
| Control of Operation Systems | p. 363 |
| General Characteristic | p. 363 |
| Control of Task Distribution | p. 365 |
| Control of Resource Distribution | p. 371 |
| Control of Assignment and Scheduling | p. 375 |
| Control of Allocation in Systems with Transport | p. 382 |
| Control of an Assembly Process | p. 386 |
| Application of Relational Description and Uncertain Variables | p. 391 |
| Application of Neural Network | p. 398 |
| Conclusions | p. 401 |
| Appendix | p. 405 |
| References | p. 411 |
| Index | p. 419 |
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