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

Volume

50

Issue

8

fYear

2005

Firstpage

1090

Lastpage

1105

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;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.852563

Filename

1492554