Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization. 1st ed. 2002

種類:

電子ブック

責任表示:

by Lars Grüne

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002

著者名:

• Grüne, Lars.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1783

ISBN:

9783540367840 [3540367845]    

注記:

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.
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.

ローカル注記:

学内専用E-BOOKS (local access only)