Title :
A new approach for asymptotic stability analysis in the case of discontinuous Lyapunov function derivative
Author :
Lu, Xim-Yun ; Hedrick, J.K.
Author_Institution :
California Univ., Berkeley, CA, USA
Abstract :
This paper considers the asymptotic stability analysis of nonlinear systems with discontinuous right hand side and/or the Lyapunov function candidate has bounded but discontinuous partial derivatives. It provides a new approach for the analysis of asymptotic stability in the normal sense instead of the sense of Fillipov.
Keywords :
Lyapunov methods; asymptotic stability; nonlinear control systems; nonlinear differential equations; partial differential equations; asymptotic stability analysis; discontinuous Lyapunov function derivative; discontinuous partial derivatives; discontinuous right hand side; nonlinear systems; Asymptotic stability; Computer aided software engineering; Control systems; Erbium; Fuzzy control; Lyapunov method; Nonlinear systems; Sliding mode control;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272441
