Stability for discrete-time uncertain systems with infinite Markov jump and time-delay  

作　　者：Ting HOU Yueying LIU Feiqi DENG 

机构地区：[1]School of Mathematics and Statistics,Shandong Normal University,Jinan 250014,China [2]College of Mathematics and Systems Science,Shandong University of Science and Technology,Qiangdao 266590,China [3]School of Automation Science and Engineering,South China University of Technology,Guangzhou 510641,China

出　　处：《Science China(Information Sciences)》2021年第5期96-106,共11页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.61673013,61733008,61573156);Natural Science Foundation of Shandong Province(Grant No.ZR2016JL022);Key Research and Development Plan of Shandong Province(Grant No.2019GGX101052)。

摘　　要：In this paper,we developed a stability analysis for discrete-time uncertain time-delay systems governed by an infinite-state Markov chain(DUTSs-IMC).Some sufficient conditions for the considered systems to be exponential stability in mean square with conditioning(ESMS-C)are derived via linear matrix inequalities(LMIs),which can be examined conveniently.Under novel sufficient conditions,the equivalence among asymptotical stability in mean square(ASMS),stochastic stability(SS),exponential stability in mean square(ESMS),and ESMS-C has been established.Besides,numerical simulations are employed in result validation.

关 键 词：infinite jump TIME-DELAY parametric uncertainties exponential stability in mean square with conditioning stochastic stability 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]