Systematic construction of Lyapunov functions for nonlinear systems in critical cases

Author

Schwartz, Carla A. ; Yan, Aiguo

Author_Institution

Dept. of Electr. & Comput. Eng., Florida Univ., Gainesville, FL, USA

Volume

4

fYear

1995

fDate

13-15 Dec 1995

Firstpage

3779

Abstract

In this paper the local stability and stabilizability of fairly general classes of smooth nonlinear systems are analyzed using normal form methods. A brief comparison is made between normal form and center manifold methods. A new procedure for constructing a Lyapunov function for a locally asymptotically stable nonlinear system is presented. These ideas are also used for finding a smooth locally stabilizing state feedback for a nonlinear control system

Keywords

Lyapunov methods; asymptotic stability; nonlinear control systems; state feedback; Lyapunov functions; center manifold methods; local stability; local stabilizability; locally asymptotically stable nonlinear system; nonlinear control system; normal form methods; smooth locally stabilizing state feedback; smooth nonlinear systems; Asymptotic stability; Computer aided software engineering; Control systems; Eigenvalues and eigenfunctions; Lyapunov method; Manifolds; Nonlinear control systems; Nonlinear systems; Stability analysis; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.479185

Filename

479185