Stability of Motion of Nonautonomous Systems (Methods of Limiting Equations): (Methods of Limiting Equations

ISBN-13: 9782884490351 / Angielski / Twarda / 1996 / 304 str.

Junji Kato;Junji Kato

Opis

This monograph applies the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems to a new field - that of the stability problem of systems with small parameters. This is an important development which should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids and nuclear reactors. The method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison and Lyapunov's direct method based on scalar, vector and matrix functions are also considered.

Spis treści

Introduction to the Series, Foreword, Preface to the English edition, Notation, 1 Stability Analysis of ODEs by the Method of Limiting Equations, 2 Limiting Equations and Stability of Infinite Delay Systems, 3 Limiting Systems and Stability of Motion under Small Forces, 4 Stability Analysis of Solutions of ODEs (Continued), 5 Stability of Integro-Differential Systems, 6 Optimal Stabilization of Controlled Motion and Limiting Equations, 7 Stability of Abstract Compact and Uniform Dynamical Processes, 8 Stability in Abstract Dynamical Processes on Convergence Space, 9 Limiting Lyapunov Functionals for Asymptotically Autonomous Evolutionary Equations of Parabolic and Hyperbolic Type in a Banach Space, References, Index

O autorze

Professor Kato is based at the Mathematical Institute at Tohoku University in Japan where he actively pursues his research interest in the field of stability of motion. Professor Martynyuk has headed the Stability of Processes Division at the Institute of Mechanics in Kiev since 1978. His main research interests include theory of stability of motion of systems modelled by ordinary and partial differential equations, control of motion, and theory of large-scale systems. Professor Shestakov is also involved in research into stability and control at the Institute of Railway Transport in Moscow.