Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization
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Beschreibung
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.
Includes supplementary material: sn.pub/extras
Autor*in
Lars Grüne
Themen in »Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization«
algorithm algorithms control control system control theory differential games nonlinear control optimal control stability