Lasalle´s invariant principle via vector Lyapunov functions of a class of discontinuous systems

Author

Cheng, Gui-fang ; Mu, Xiao-wu

Author_Institution

Fac. of Math. Dept., Zhengzhou Univ., Zhengzhou, China

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

6317

Lastpage

6320

Abstract

It is mainly discussed Lasalle´s invariant principle for a class of nonlinear systems with discontinuous righthand sides on the basis of vector Lyapunov function in the framework of Filippov solutions. Assuming that the system is Lebesgue measurable and non-Lipschitz continuous, we extend Lasalle´s invariant principle for a class of discontinuous dynamical systems by means of Filippov solutions and vector Lyapunov function which satisfies Lipschitz continuity and regular property.

Keywords

Lyapunov methods; asymptotic stability; nonlinear dynamical systems; sampled data systems; Filippov solution; Lasalle invariant principle; Lebesgue measurable; Lipschitz continuity; discontinuous dynamical system; nonLipschitz continuous; nonlinear system; vector Lyapunov function; Control systems; Educational institutions; Lyapunov method; Mechanical systems; Nonlinear systems; Stability analysis; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400126

Filename

5400126