Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization

• Main Author: Grüne, Lars (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Mathematics, 1783
• Subjects: Dynamics.; Ergodic theory.; System theory.; Numerical analysis.; Calculus of variations.; Dynamical Systems and Ergodic Theory.; Systems Theory, Control.; Numerical Analysis.; Calculus of Variations and Optimal Control; Optimization.

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...

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.