Analysis of singularly perturbed stochastic hybrid systems

C. C. Tsai*, A. H. Haddad

*Corresponding author for this work

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

3 Scopus citations


A singularly perturbed hybrid system is considered whose state equations are governed by a stochastic switching process, which is singularly perturbed and is modeled as a near decomposable continuous time finite state Markov chain (FSMC). The decomposition of the system and the switching process together into slow and fast subsystems is investigated. An approximate model for the slow subsystem over the interval of fast transitions within each group is derived and the mean-squared error between the model and the actual subsystem is quantified. The stability of the slow mode subsystem is studied and two stability criteria are introduced.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherPubl by American Automatic Control Council
Number of pages6
ISBN (Print)0879425652, 9780879425654
StatePublished - 1991
EventProceedings of the 1991 American Control Conference - Boston, MA, USA
Duration: Jun 26 1991Jun 28 1991

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


OtherProceedings of the 1991 American Control Conference
CityBoston, MA, USA

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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