Stability of a class of hybrid impulsive and switching systems1

Zhi-Hong Guan, David J. Hill, Xuemin Shen

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

2 Citations (Scopus)


in this paper, a new class of hybrid impulsive and switching models are introduced. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability of hybrid impulsive and switched nonlinear systems are established. Further more, a new hybrid impulsive and switching control strategy for the nonlinear systems is developed to improve the system performance. A typical example, the Chua's chaotic circuit, is provided for illustrating and visualizing the analytical results.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
PublisherElsevier - International Federation of Automatic Control (IFAC)
Number of pages6
ISBN (Print)008045108X, 9780080451084
Publication statusPublished - 2005
Externally publishedYes
EventInternational Federation of Automatic Control World Congress 2005 - Prague Congress Center, Prague, Czechia
Duration: 3 Jul 20058 Jul 2005
Conference number: 16th

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
ISSN (Print)1474-6670


ConferenceInternational Federation of Automatic Control World Congress 2005
Abbreviated titleIFAC 2005


  • Chaos control
  • Exponential stability
  • Hybrid systems
  • Impulsive control
  • Switched Lyapunov function
  • Switching systems

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