An integral-invariance principle for nonlinear systems

Author

Byrnes, Christopher I. ; Martin, Clyde F.

Author_Institution

Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA

Volume

40

Issue

6

fYear

1995

fDate

6/1/1995 12:00:00 AM

Firstpage

983

Lastpage

994

Abstract

In this paper we present an integral-invariance principle generalizing LaSalle´s invariance principle for nonlinear systems. The principal new ingredients are the use of observation functions and certain integrability conditions, which are particularly well suited for dynamical systems involving control and observations. The integral-invariance principle leads to the development of a series of results relating stability, observability, and the converse theorems of Lyapunov theory. Corollaries include apparently diverse stabilizability results for adaptive control, nonlinear control, and passive circuits and systems

Keywords

Lyapunov methods; invariance; nonlinear systems; observability; stability; LaSalle´s invariance principle; Lyapunov theory; adaptive control; dynamical systems; integrability conditions; integral-invariance principle; nonlinear systems; observability; observation functions; passive systems; stability; Adaptive control; Circuit stability; Control systems; History; Linear systems; NASA; Nonlinear control systems; Nonlinear systems; Observability; Passive circuits;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.388676

Filename

388676