Asymptotic Behavior of Dynamical an - E-book

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Asymptotic Behavior Of Dynamical And Control Systems Under Pertubation And Discretization - ENG

Lars Grüne

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Sinopsis

ISBN:	9783540367840
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Análisis Matemática
Año de publicación:	2004-10-19

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.

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