Towards ISS disturbance attenuation for randomly switched systems

Debasish Chatterjee, Daniel Liberzon

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

Abstract

We are concerned with input-to-state stability (iss) of randomly switched systems. We provide preliminary results dealing with sufficient conditions for stochastic versions of ISS for randomly switched systems without control inputs, and with the aid of universal formulae we design controllers for ISS-disturbance attenuation when control inputs are present. Two types of switching signals are considered: the first is characterized by a statistically slow-switching condition, and the second by a class of semi-Markov processes.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages5612-5617
Number of pages6
DOIs
StatePublished - Dec 1 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
CountryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

Keywords

  • Input-to-state stability
  • Multiple ISS-Lyapunov functions
  • Randomly switched systems
  • Universal formula for feedback stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Chatterjee, D., & Liberzon, D. (2007). Towards ISS disturbance attenuation for randomly switched systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 5612-5617). [4434163] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2007.4434163