TY  - BOOK
AU  - Leonov,Gennadiĭ Alekseevich
TI  - Mathematical problems of control theory: an introduction 
T2  - Series on stability, vibration and control of systems
SN  - 9810246943
AV  - QA402.3 .L4815 2001
PY  - 2001///]
CY  - Singapore, River Edge, NJ
PB  - World Scientific
KW  - Control theory
KW  - Mathematical models
N1  - 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
ER  -