Sampled-mode-dependent time-varying control strategy for stabilizing discrete-time switched stochastic systems

Ahme Cetinkaya, Tomohisa Hayakawa

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

4 Citations (Scopus)


Second-moment asymptotic stabilization of a discrete-time switched stochastic system is investigated. Active operation mode of the switched system is assumed to be only periodically observed (sampled). We develop a stabilizing feedback control framework that incorporates sampled-mode-dependent time-varying feedback gains, which allow stabilization despite the uncertainty of the active operation mode between consecutive mode observation instants. We utilize the periodicity induced in the closed-loop system dynamics due to periodic mode observations, and employ discrete-time Floquet theory to obtain necessary and sufficient conditions for second-moment asymptotic stabilization of the zero solution. Furthermore, we use Lyapunov-like functions with periodic coefficients to obtain alternative stabilization conditions, which we then employ for designing feedback gains. Finally, we demonstrate the efficacy of our results with a numerical example.

Original languageEnglish
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)9781479932726
Publication statusPublished - 2014
Externally publishedYes
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: 2014 Jun 42014 Jun 6

Publication series

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


Conference2014 American Control Conference, ACC 2014
Country/TerritoryUnited States
CityPortland, OR


  • Stability of hybrid systems
  • Stochastic systems
  • Switched systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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