
Mathematical Problems Of Control Theory: An Introduction
Gennady A. Leonov(Author)
World Scientific Publishing Co Pte Ltd
Will be published approx. on 29. November 2001
Book
Hardback
180 pages
978-981-02-4694-5 (ISBN)
Description
This book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics.In the book a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe an autopilot, spacecraft orientation system, controllers of a synchronous electric machine, and phase-locked loops. The Aizerman and Brockett problems are discussed and an introduction to the theory of discrete control systems is given.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Product notice
sewn/stitched
Cloth over boards
ISBN-13
978-981-02-4694-5 (9789810246945)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Content
The Watt governor and the mathematical theory of stability of motion; linear electric circuits; transfer functions and frequency responses of linear blocks; controllability, observability, stabilization; two-dimensional control systems; phase portraits; discrete systems; the Aizerman conjecture; the Popov method.