Decentralized stability of linear discrete-time singular large-scale Markovian jump systems
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- 英文论文题名：Decentralized stability of linear discrete-time singular large-scale Markovian jump systems
- 论文作者：Jianhua Wang ; Jianwen Wang ; Min Wang ; Fucai You ; Liqiong Shi ; Hengshan Li
- 英文论文作者：Jianhua Wang ; Jianwen Wang ; Min Wang ; Fucai You ; Liqiong Shi ; Hengshan Li ; Department of basic sciences ; Shenyang Institute of Engineering ; School of electric power ; Shenyang Institute of Engineering
- 年：2017
- 作者机构：Department of basic sciences,Shenyang Institute of Engineering;School of electric power,Shenyang Institute of Engineering;
- 英文论文关键词：Decentralized stability ; Markovian jump ; Discrete-time ; Singular large-scale systems ; Linear matrix inequalities
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：O231
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：4
- 文件大小：210k
- 原文格式：D
- 会议级别：全国
摘要
This paper is concerned with the decentralized stability problem for a class of Markovian jump discrete-time singular large-scale systems. We give the necessary and sufficient conditions for the stochastic stability analysis by the convex combination, and a set of necessary and sufficient conditions for the stochastic stability is proposed in terms of linear matrix inequalities.
This paper is concerned with the decentralized stability problem for a class of Markovian jump discrete-time singular large-scale systems. We give the necessary and sufficient conditions for the stochastic stability analysis by the convex combination, and a set of necessary and sufficient conditions for the stochastic stability is proposed in terms of linear matrix inequalities.
This paper is concerned with the decentralized stability problem for a class of Markovian jump discrete-time singular large-scale systems. We give the necessary and sufficient conditions for the stochastic stability analysis by the convex combination, and a set of necessary and sufficient conditions for the stochastic stability is proposed in terms of linear matrix inequalities.
引文
[1]Siljak D.D.,Decentralized Control of Complex Systems,New York:Academic Press,1991.
[2]Sandell,N.R.,Varaya,P.,Athans,M.,and Safonov,M.Survey of decentralized control methods for large scale systems[J].IEEE Transactions on Automatic Control,23,108C128,1978.
[3]Yang G.H.,Zhang S.Y.Decentralized robust control for interconnected systems with time-varying uncertainties[J].Automatica,32,1603-1608,1996.
[4]Zhang,J.Control of Generalized Economic System,Beijing:Tsinghua Press,1990.
[5]Pal B.,and Chaudhuri,B.Robust Control in Power Systems,Berlin:Springer,2005.
[6]Zhang,Q.,Liu,C.,and Zhang,X.Complexity,analysis and control of singular biological systems,London:SpringerVerlag,2012.
[7]Kaczorek,T.Singular fractional linear systems and electrical circuits,International Journal of Applied Mathematics and Computer Science,21,379-384,2011.
[8]Dai,L.Singular Control Systems,New York:Springer,1989.
[9]Xu,S.,and Lam,J.Robust Control and Filtering of Singular Systems,Berlin:Springer,2006.
[10]Xu,S.,Lam J.,and Yang C.Robust H∞control for discrete singular systems with state delay and parameter uncertainty,Dynamics of Continuous,Discrete and Impulsive Systems,11,497-506,2002.
[11]Xu,S.,Song,B.,Lu,J.,and Lam J.Robust stability of uncertain discrete-time singular fuzzy systems,Fuzzy Sets and Systems,158,2306-2316,2007.
[12]Xia,Y.,Zhang,J.,and Boukas E.K.Control for discrete singular hybrid systems,Automatica,44,2635-2641,2008.
[13]Xia Y.,Zhang J,Boukas EK.,Shi P.,and Zhang J.Stability and stabilization of continuous-time singular hybrid systems,Automatica,45(6):1504-1509,2009.
[14]Ma,S.,Zhang,C.,and Ceng Z.Delay-dependent robust H∞control for uncertain discrete-time singular systems with timedelay,Journal of Computational and Applied Mathematics,217,194-211,2008.
[15]Ma,S.,Zhang,C.,and Liu X.,Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems,Journal of Control Theory and Applications,6,133-140,2008.
[16]Ma,S.,Boukas,E.K.,and Chinniah,Y.Stability and stabilization of discrete-time singular Markovian jump systems with time-varying delay,International Journal of Robust and Nonlinear Control,20,531-543,2010.
[17]Wu Z.,Park J.,Su H.,Chu J.Reliable passive control for singular systems with time-varying delays,Journal of Process Control,1217-1228,2013.
[18]Wang,G.,Zhang,Q.,and Yang,C.Exponential H∞filtering for singular systems with Markovian jump parameters,International Journal of Robust and Nonlinear Control,23,792-806,2013.
[19]Jianhua Wang,Qingling Zhang,Xing-Gang Yan,Ding Zhai.Stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities.International Journal of Robust and Nonlinear Control,25(10):1423-1437,2015.
[2]Sandell,N.R.,Varaya,P.,Athans,M.,and Safonov,M.Survey of decentralized control methods for large scale systems[J].IEEE Transactions on Automatic Control,23,108C128,1978.
[3]Yang G.H.,Zhang S.Y.Decentralized robust control for interconnected systems with time-varying uncertainties[J].Automatica,32,1603-1608,1996.
[4]Zhang,J.Control of Generalized Economic System,Beijing:Tsinghua Press,1990.
[5]Pal B.,and Chaudhuri,B.Robust Control in Power Systems,Berlin:Springer,2005.
[6]Zhang,Q.,Liu,C.,and Zhang,X.Complexity,analysis and control of singular biological systems,London:SpringerVerlag,2012.
[7]Kaczorek,T.Singular fractional linear systems and electrical circuits,International Journal of Applied Mathematics and Computer Science,21,379-384,2011.
[8]Dai,L.Singular Control Systems,New York:Springer,1989.
[9]Xu,S.,and Lam,J.Robust Control and Filtering of Singular Systems,Berlin:Springer,2006.
[10]Xu,S.,Lam J.,and Yang C.Robust H∞control for discrete singular systems with state delay and parameter uncertainty,Dynamics of Continuous,Discrete and Impulsive Systems,11,497-506,2002.
[11]Xu,S.,Song,B.,Lu,J.,and Lam J.Robust stability of uncertain discrete-time singular fuzzy systems,Fuzzy Sets and Systems,158,2306-2316,2007.
[12]Xia,Y.,Zhang,J.,and Boukas E.K.Control for discrete singular hybrid systems,Automatica,44,2635-2641,2008.
[13]Xia Y.,Zhang J,Boukas EK.,Shi P.,and Zhang J.Stability and stabilization of continuous-time singular hybrid systems,Automatica,45(6):1504-1509,2009.
[14]Ma,S.,Zhang,C.,and Ceng Z.Delay-dependent robust H∞control for uncertain discrete-time singular systems with timedelay,Journal of Computational and Applied Mathematics,217,194-211,2008.
[15]Ma,S.,Zhang,C.,and Liu X.,Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems,Journal of Control Theory and Applications,6,133-140,2008.
[16]Ma,S.,Boukas,E.K.,and Chinniah,Y.Stability and stabilization of discrete-time singular Markovian jump systems with time-varying delay,International Journal of Robust and Nonlinear Control,20,531-543,2010.
[17]Wu Z.,Park J.,Su H.,Chu J.Reliable passive control for singular systems with time-varying delays,Journal of Process Control,1217-1228,2013.
[18]Wang,G.,Zhang,Q.,and Yang,C.Exponential H∞filtering for singular systems with Markovian jump parameters,International Journal of Robust and Nonlinear Control,23,792-806,2013.
[19]Jianhua Wang,Qingling Zhang,Xing-Gang Yan,Ding Zhai.Stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities.International Journal of Robust and Nonlinear Control,25(10):1423-1437,2015.