𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization

✍ Scribed by Lars Grüne (auth.)

Book ID
127453099
Publisher
Springer
Year
2002
Tongue
English
Weight
2 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540367845
ISSN
0075-8434

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✦ Synopsis

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.

✦ Subjects

Optimization

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