Asymptotic behavior of dynamical and control systems under perturbation and discretization
Author(s)
Bibliographic Information
Asymptotic behavior of dynamical and control systems under perturbation and discretization
（Lecture notes in mathematics, 1783）
Springer, c2002
Available at / 74 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||178378800470
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1783410.8/L507/v.178305775529,
410.8/L507/v.178305775529 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:516/G9222070559030
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Note
Includes bibliographical references (p. [221]-227) and index
Description and Table of Contents
Description
This book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples.
Table of Contents
Dynamics, Perturbation and Discretization.- Setup and Preliminaries.- Strongly Attracting Sets.- Weakly Attracting Sets.- Relation between Discretization and Perturbation.- Discretizations of Attractive Sets.- Domains of Attraction.- Appendices. Viscosity Solutions. Comparison Functions. Numerical Examples.
by "Nielsen BookData"
