Mathematical problems of control theory
Subtitle: an introduction
By: Gennady A. Leonov.
Series: Series on stability, vibration, and control of systems.; v. 4
Publisher: World Scientific
Published: 2001
Place of publication: Singapore; River Edge, N.J
Language: eng
Number of pages: 172
Subjects: Control theory -- Mathematical models.
Notes: Includes bibliographical references (p. 167-169) and index.
Table of contents: title: Machine generated contents note: Chapter 1 The Watt governor and the mathematical theory of stability of motion 1; title: 1.1 The Watt flyball governor and its modifications 1; title: 1.2 The Hermite-Mikhailov criterion 7; title: 1.3 Theorem on stability by the linear approximation 13; title: 1.4 The Watt governor transient processes 25; title: Chapter 2 Linear electric circuits.Transfer functions and; title: frequency responses of linear blocks 33; title: 2.1 Description of linear blocks 33; title: 2.2 Transfer functions and frequency responses of linear blocks .40; title: Chapter 3 Controllability, observability, stabilization 53; title: 3.1 Controllability53; title: 3.2 Observability62; title: 3.3 A special form of the systems with controllable pair (A , b) 66; title: 3.4 Stabilization.The Nyquist criterion 67; title: 3.5 The time-varying stabilization.The Brockett problem 72; title: Chapter 4 Two-dimensional control systems.Phase portraits 93; title: 4.1 An autopilot and spacecraft orientation system 93; title: 4.2 A synchronous electric machine control and phase locked loops 106; title: 4.3 The mathematical theory of populations 126; title: Chapter 5 Discrete systems 133; title: 5.1 Motivation 133; title: 5.2 Linear discrete systems 140; title: 5.3 The discrete phase locked loops for array processors 148; title: Chapter 6 The Aizerman conjecture.The Popov method 155.