Design of controller and analysis of stochastic stability in continuous-time Markovian jump linear

  • WANG Jin ,
  • DONG Ze
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Online published: 2013-11-25

Cite this article

WANG Jin , DONG Ze . Design of controller and analysis of stochastic stability in continuous-time Markovian jump linear[J]. Journal of Hebei University(Natural Science Edition), 2013 , 33(6) : 667 -672 . DOI: 10.3969/j.issn.1000-1565.2013.06.020

References

[1] 姚秀明. 混杂Markovian跳跃系统的分析与综合 [D]. 哈尔滨工业大学 2010.
[2] FENG Xiangbo, LAPARO K A, JI Yuandong. Stability Properties of Jump Linear System [J]. {H}IEEE Transactions on Automatic Control 1992, 37(01).
[3] DANIELW S. Markov过程导论 [M]. {H}北京:高等教育出版社 2007.
[4] 俞力. 鲁棒控制-线性矩阵不等式处理方法 [M]. {H}北京:清华大学出版社 2002.
[5] 谢克明. 现代控制理论基础 [M]. {H}北京:北京工业大学出版社 2008.
[6] Ji Y., Chizeck H.J.. Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control [J]. IEEE Transactions on Automatic Control 1990, 7(7).
[7] MOROZAN T. Stability and control for linear systems with jump Markov peturbations [J]. Stochastic Analytic Application 1996, 23.
[8] COSTA O L V, GEROMEL J C. Continuous-time state-feedback, H2-control of Markovian jump linear system via convex analysis [J]. {H}AUTOMATICA 1999, 35(02).
[9] KRASOVSKII N N, LIDSKII E A. Analytic design of controller in systems with random attributes [J]. Automatic Remote Contr 1961, 27(Part1).
[10] Shengyuan Xu, James Lam. Improved Delay-Dependent Stability Criteria for Time-Delay Systems [J]. IEEE Transactions on Automatic Control 2005, 3(3).
[11] 孙超. 不确定离散时滞系统的鲁棒控制 [D]. 哈尔滨理工大学 2003.
[12] Yong He, Qing-Guo Wang, Lihua Xie, Chong Lin. Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay [J]. IEEE Transactions on Automatic Control 2007, 2(2).
[13] Min Wu, Yong He, Jin-Hua She, Guo-Ping Liu. Delay-dependent criteria for robust stability of time-varying delay systems [J]. Automatica 2004, 8(8).
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