Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization

Research output: Contribution to journal › Article › peer-review

Faculty of Mathematics and Mechanics
Department of Applied Cybernetics

Overview
Cite this

DOI

https://doi.org/10.1016/S0362-546X(99)00322-3
Final published version

Gennady Alekseevich Leonov
Antje Noack
Volker Reitmann

A derivation of the stability criteria for nonlinear feedback systems is presented. A number of concrete dynamical systems were considered to demonstrate the proposed approach. The orbital stability of feedback control systems with cylindrical phase space describing various systems with angular coordinates were investigated.

Original language	English
Pages (from-to)	1057-1085
Number of pages	29
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	44
Issue number	8
DOIs	https://doi.org/10.1016/S0362-546X(99)00322-3
State	Published - Jun 2001

Research areas

Asymptotic orbital stability, Dynamical systems, Feedback control systems, Riemannian manifolds, Singular values

Scopus subject areas

Analysis
Applied Mathematics

ID: 73407242