Stability of Discontinuous Retarded Functional Differential Equations with Applications to Delay Systems

Ye Sun, Anthony N. Michel, Guisheng Zhai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

The Lyapunov stability of discontinuous dynamical systems (DDS), determined using retarded functional differential equations is discussed. DDS were derived from the modeling of a variety of infinite dimensional systems. The applications of the stability of the equations on the delay control systems are also discussed.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
Pages3387-3392
Number of pages6
Volume4
Publication statusPublished - 2003
Externally publishedYes
Event2003 American Control Conference - Denver, CO, United States
Duration: 2003 Jun 42003 Jun 6

Other

Other2003 American Control Conference
CountryUnited States
CityDenver, CO
Period03/6/403/6/6

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Keywords

  • Asymptotic stability
  • Boundedness
  • Differential-difference equations
  • Discontinuous dynamical systems
  • Exponential stability
  • Hybrid systems
  • Lyapunov stability
  • Retarded functional differential equations
  • Switched systems
  • Systems with delays

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Sun, Y., Michel, A. N., & Zhai, G. (2003). Stability of Discontinuous Retarded Functional Differential Equations with Applications to Delay Systems. In Proceedings of the American Control Conference (Vol. 4, pp. 3387-3392)