Title :
Stability of Discontinuous Retarded Functional Differential Equations With Applications
Author :
Sun, Ye ; Michel, Anthony N. ; Zhai, Guisheng
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
We present Lyapunov stability results, including converse theorems, for a class of discontinuous dynamical systems (DDS) determined by the solutions of retarded functional differential equations. We demonstrate the applicability of these results in the analysis of several specific important classes of DDS determined by functional differential equations and differential-difference equations.
Keywords :
Lyapunov methods; difference equations; functional equations; sampled data systems; stability; time-varying systems; Lyapunov stability; differential difference equations; discontinuous dynamical systems; retarded functional differential equations; Difference equations; Differential equations; Discrete event systems; Extraterrestrial measurements; Integrodifferential equations; Lyapunov method; Partial differential equations; Stability analysis; Sun; Switched systems; Asymptotic stability; Lyapunov stability; differential-difference equations; discontinuous dynamical systems (DDS); exponential stability; hybrid systems; retarded functional differential equations; switched systems; systems with delays;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.852563
