Mathematical problems of control theory : an introduction / Gennady A. Leonov

Includes bibliographical references (pages 167-169) and index

Contents Preface Ch. 1 The Watt governor and the mathematical theory of stability of motion 1.1 Use Watt flyball governor and its modifications 1.2 The Hermite - Mikhailov criterion 1.3 Theorem on stability by the linear approximation 1.4 The Watt governor transient processes Ch. 2 Linear electric circuits. Transfer functions and frequency responses of linear blocks 2.1 Description of linear blocks 2.2 Transfer functions and frequency responses of linear blocks Ch. 3 Controllability, observability, stabilization 3.1 Controllability 3.2 Observability 3.3 A special form of the systems with controllable pair (A, b) 3.4 Stabilization, The Nyquist criterion 3.5 The time-varying stabilization. The Brockett problem Ch. 4 Two-dimensional control systems. Phase portraits 4.1 An autopilot and spacecraft orientation system 4.2 A synchronous electric machine control and phase locked loops 4.3 The mathematical theory of populations Ch. 5 Discrete systems 5.1 Motivation 5.2 Linear discrete systems 5.3 The discrete phase locked loops for array processors Ch. 6 The Aizerman conjecture. The Popov method Bibliography Index