Stability of discontinuous retarded functional differential equations with applications to delay systems

Ye Sun Ye Sun,A.N Michel,Guisheng Zhai Guisheng Zhai

doi:10.1109/acc.2003.1244055

Stability of discontinuous retarded functional differential equations with applications to delay systems

Ye Sun Ye Sun, A.N Michel + Show 1 more

https://doi.org/10.1109/acc.2003.1244055

Copy DOI

Publication Date: Jun 4, 2003

Citations: 8

Affiliation: Wakayama University

#Discontinuous Dynamical Systems #Class Of Discontinuous Dynamical Systems + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

We present Lyapunov stability and boundedness results for a class of discontinuous dynamical systems (DDS) determined by retarded functional differential equations and we apply these results in the analysis of a class of DDS determined by differential-difference equations (DDS with time delays). DDS of the type considered herein arise in the modeling of a variety of (infinite dimensional) systems, including certain classes of hybrid system, discrete event systems, switched system, intelligent control systems, systems subjected to impulse effects, and the like.

Full Text