Partial Stability and Control

Vladimir I. Vorotnikov

ISBN 10: 3764339179 / ISBN 13: 9783764339173

Published by Birkhauser, Boston, 1998

About this Item

First printing. Hard cover published by Birkhauser in 1998. No dust jacket. Glossy covers. Spine is slightly cocked. Book is in very good condition. 430 pages, 1.8 lbs.; Large 8vo 9" - 10" tall; 430 pages.

Seller Inventory # MSV7174

Bibliographic Details

• Title: Partial Stability and Control
• Publisher: Birkhauser, Boston
• Publication Date: 1998
• Language: English
• ISBN 10: 3764339179
• ISBN 13: 9783764339173
• Binding: Hardcover
• Edition: First Printing.
• Condition: Very Good
• Dust Jacket Condition: No Dust Jacket

About this title

Synopsis

Unlike the conventional research for the general theory of stability, this mono­ graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa­ bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be "Lotka-Volterra ecological principle of extinction;" focusing and acceleration of particles in electromagnetic fields; "drift" of the gyroscope axis; stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta­ bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan­ tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems.