Finite-time stability and stabilization for stochastic markov jump systems with mode-dependent time delays

Zhiguo Yan; Yunxia Song; Ju H Park

doi:10.1016/j.isatra.2017.01.018

Finite-time stability and stabilization for stochastic markov jump systems with mode-dependent time delays

ISA Trans. 2017 May:68:141-149. doi: 10.1016/j.isatra.2017.01.018. Epub 2017 Feb 16.

Authors

Zhiguo Yan¹, Yunxia Song², Ju H Park³

Affiliations

¹ School of Electrical Engineering and Automation, Qilu University of Technology, Jinan 250353, PR China; Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea; Key Laboratory of Pulp & Paper Science Technology of Ministry of Education of China, Qilu University of Technology, Jinan 250353, PR China. Electronic address: yanzg500@sina.com.
² School of Electrical Engineering and Automation, Qilu University of Technology, Jinan 250353, PR China. Electronic address: songyx_123@163.com.
³ Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea. Electronic address: jessie@ynu.ac.kr.

PMID: 28216235
DOI: 10.1016/j.isatra.2017.01.018

Abstract

This paper is concerned with the problems of finite-time stability and stabilization for stochastic Markov systems with mode-dependent time-delays. In order to reduce conservatism, a mode-dependent approach is utilized. Based on the derived stability conditions, state-feedback controller and observer-based controller are designed, respectively. A new N-mode algorithm is given to obtain the maximum value of time-delay. Finally, an example is used to show the merit of the proposed results.

Keywords: Finite-time stability; Markovian jump systems; Stochastic systems; Time-delay.