Title :
Stability of discontinuous retarded functional differential equations with applications to delay systems
Author :
Sun, Ye ; Michel, Anthony N. ; Zhai, Guisheng
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
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.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; delays; difference equations; discrete event systems; functional equations; intelligent control; multidimensional systems; time-varying systems; Lyapunov stability; boundedness; differential-difference equation; discontinuous dynamical system; discontinuous retarded functional differential equations stability; discrete event system; exponential stability; hybrid system; impulse effect; infinite dimensional systems; intelligent control system; switched system; time delay; Asymptotic stability; Delay effects; Delay systems; Differential equations; Discrete event systems; Lyapunov method; Partial differential equations; Stability analysis; Sun; Systems engineering and theory;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1244055
