Finite-time stabilization of discrete Markov jump systems with partly known transition probabilities

Mouquan Shen, Yuhao Yuan

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

1 Scopus citations

Abstract

This paper concerns the finite-time stabilization of discrete Markov jumps systems (MJSs) with partly known transition probabilities (TPs) which are allowed to be known, uncertain with known lower and upper bounds and completely unknown. Combining the property of TPs, sufficient conditions are developed to guarantee that the system states do not exceed a certain threshold in mean-square sense during a specified time interval. It is shown that the method proposed in this paper is less or at least the same conservative than the existing result. Numerical examples are further given to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationProceedings - 2014 International Conference on Mechatronics and Control, ICMC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2420-2424
Number of pages5
ISBN (Electronic)9781479925384
DOIs
StatePublished - 31 Aug 2015
EventInternational Conference on Mechatronics and Control, ICMC 2014 - Jinzhou, China
Duration: 3 Jul 20145 Jul 2014

Publication series

NameProceedings - 2014 International Conference on Mechatronics and Control, ICMC 2014

Conference

ConferenceInternational Conference on Mechatronics and Control, ICMC 2014
Country/TerritoryChina
CityJinzhou
Period3/07/145/07/14

Keywords

  • Circuit stability
  • Linear systems
  • Markov processes
  • Numerical stability
  • Symmetric matrices
  • Upper bound

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