Lecture Notes on Methods of Nonlinear Dynamical Analysis
Published on 31. January 1994
Book
Hardback
450 pages
978-981-02-1112-7 (ISBN)
Description
This monograph gives a quantitative theory of nonlinear systems for the investigation of large-scale systems with interconnected finite - dimensional subsystems. The comparison principle, established by the author, is used to give some algorithms for deriving theorems concerning different dynamical properties of nonlinear systems, so that there is a possibility of obtaining hundreds of new theorems and generalizations by computer. In addition, the methods of Vector Lyapunov Functions are described and important applications to dynamical analyses of orbital telescopes, spacecrafts, aircrafts, ecological immunological systems are included.
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Content
History of abstract systems and processed axiomatic theories; concepts of functioning systems of processes and control systems; abstract comparison method; comparison principle and algorithms for derivation of comparison theorems; comparison methods in the axiomatic control theory; Vector Lyapunov Function (VLF) method; program package VLF-1; nonlinear analysis of dynamics and controls of interconnected systems with distributed parameters; methods and softwares for VLF-construction; applications.