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Robust Exponential Stability of Uncertain Singular Markovian Jump Time-delay Systems 被引量：7

Robust Exponential Stability of Uncertain Singular Markovian Jump Time-delay Systems
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作者 WU Zheng-Guang SU Hong-Ye CHU Jian
机构地区 National Laboratory of Industrial Control Technology
出处 《自动化学报》 EI CSCD 北大核心 2010年第4期558-563,共6页 Acta Automatica Sinica
基金 Supported by National High Technology Research and Development Program of China （863 Program） （2008AA042902）, National Natural Science Foundation of P. R. China （60736021）, and National Creative Research Groups Science Foundation of China （60721061）
关键词 马尔可夫链 延迟系统 自动化 稳定性 Singular systems, Markovian jumping parameters, time delay, exponential stability, linear matrix inequality （LMI）
分类号 TP27 [自动化与计算机技术—检测技术与自动化装置]
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参考文献30

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  • 2Xu S Y, Lam J. Robust Control and Filtering of Singular Systems. Berlin: Springer, 2006.
  • 3Lewis F L. A survey of linear singular systems. Circuits, Systems and Signal Processing, 1986, 5(1): 3-36.
  • 4Xu S Y, Lam J, Zou Y. An improved characterization of bounded realness for singular delay systems and its applications. International Journal of Robust and Nonlinear Control, 2008, 18(3): 263-277.
  • 5Xu S Y, Dooren P V, Stefan R, Lam J. Robust stability and stabilization for singular systems with state delay and parameter uncertainty. IEEE Transactions on Automatic Confrol, 2002, 47(7): 1122-1128.
  • 6Yue D, Han Q L. Delay-dependent robust H∞ controller design for uncertain descriptor systems with time-varying discrete and distributed delays. IEE Proceedings -- Control Theory and Applications, 2005, 152(6): 628-638.
  • 7Yue D, Lam J, Ho D W C. Delay-dependent robust exponential stability of uncertain descriptor systems with time-varying delays. Dynamics of Continuous, Discrete and Impulsive Systems B: Applications and Algorithms, 2005, 12(1): 129-149.
  • 8Zhu S Q, Zhang C H, Cheng Z L, Feng J. Delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems. IEEE Transactions on Automatic Control, 2007, 52(5): 880-885.
  • 9Ma S, Cheng Z, Zhang C. Delay-dependent robust stability and stabilization for uncertain discrete singular systems with time-varying delays. IET Control Theory and Applications, 2007, 1(4): 1086-1095.
  • 10Ma S, Zheng C, Cheng Z. Delay-dependent robust H∞ control for uncertain discrete-time singular systems with time- delays. Journal of Computational and Applied Mathematics, 2008, 217(1): 194-211.

同被引文献51

  • 1Nilsson J, Bernhardsson B, Wittenmark B. Stochastic analysis and control of realtime systems with random time delays[J].Automatica, 1998, 34(1): 57-64.
  • 2Haidar A, Boukas E K. Robust stability criteria for Markovian jump singular systems with timevarying delays[C]//The 47th IEEE Conference on Decision and Control Cancun: IEEE, 2008, 4657-4662.
  • 3Tang B, Liu G H, Gui W H. Improvement of state feedback controller design for networked control systems[J].IEEE Transactions on Circuits and Systems, Part II: Express Briefs, 2008, 55(5): 464-468.
  • 4Yu J J, Tan J, Jiang H B, et al. Dynamic output feedback control for Markovian jump systems with time varying delays[J].IET Control Theory and Applications, 2012, 6(6): 803-812.
  • 5Wang J R, Wang H J, Xue A K, et al. Delay dependent H ∞ control for singular Markovian jump systems with time delay[J].Nonlinear Analysis: Hybrid Systems, 2013, 8(5): 1-12.
  • 6Liu L J, Gao H L. Delay dependent H ∞ control for singular Markovian jump timedelay systems[C].The 2nd International Conference on Intelligent Control and Information Processing, Harbin: IEEE, 2011: 946-951.
  • 7Krasovskii N M, Lidskii E A. Analytical design of controllers in systems with random attributes[J]. Automation and Remote Control, 1961,22(1-3) :1021-1294.
  • 8Akella R, Kumar P R. Optimal control of production rate in failure prone manufacturing system[J]. IEEE Transactions on Automatic Control, 1986,31(2):116-126.
  • 9Boukas E K , Yang H. Optimal control of manufacturing flow and preventive maintenance[J]. IEEE Transactions on Automatic Control, 1996,41 (6):881-885.
  • 10Mariton M. Jump linear systems in automatic control[M]. New York: Marcel Dekker, 1990:1-297.

引证文献7

二级引证文献8

自动化学报
2010年 第4期

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