Title :
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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400126
