title: Finite-time stability and stabilization for stochastic markov jump systems with mode-dependent time delays.
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.
authors.affiliation: 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.
authors.forename: Zhiguo
authors.initials: Z
authors.lastname: Yan
authors.affiliation: School of Electrical Engineering and Automation, Qilu University of Technology, Jinan 250353, PR China. Electronic address: songyx_123@163.com.
authors.forename: Yunxia
authors.initials: Y
authors.lastname: Song
authors.affiliation: Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea. Electronic address: jessie@ynu.ac.kr.
authors.forename: Ju H
authors.initials: JH
authors.lastname: Park
keywords: Finite-time stability; Markovian jump systems; Stochastic systems; Time-delay