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具有分布时滞的随机中立型系统的均方指数稳定性 被引量:1

Mean-square exponential stability of stochastic neutral systems with distributed delays
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摘要 文章讨论具有分布时滞的随机中立型系统的均方指数稳定性。根据线性矩阵不等式方法,得到了一个关于随机中立型系统时滞相关的均方指数稳定性判据。数值例子说明了此方法的可行性和有效性。 This paper investigates the mean-square exponential stability of stochastic neutral systems with distributed delays. By linear matrix inequality(LMI) approach, a sufficient condition for meansquare exponential stability of stochastic neutral systems with distributed delays is presented. Numerical example shows that the proposed method is effective and applicable.
作者 汪慧 焦贤发
出处 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第11期1749-1752,共4页 Journal of Hefei University of Technology:Natural Science
基金 教育部科学技术研究重大资助项目(309017)
关键词 中立系统 随机系统 分布时滞 指数均方稳定 neutral system stochastic system distributed delay exponential mean-square stability
作者简介 汪慧(1985-),女,安徽寿县人,合肥工业大学硕士生; 焦贤发(1965-),男,安徽安庆人,博士,合肥工业大学教授,硕士生导师.
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参考文献9

  • 1Katsikopoulos K V. Optimal instructional policies based ona random trial incremental model of learning LJJ. IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, 2000,30 (4) : 490-494.
  • 2Rajaraman K, Sastry P S. Stochastic optimization over con- tinuous and discrete variables with applications to concept learning under noise [J]. IEEE Transactions on Systems, Man, and Cybernetics, Part A.. Systems and Humans, 19 9 9, 29(6) :542-553.
  • 3Verriest E I. Stability of systems with state-dependent and random delays [J]. IMA J Math Control Inf, 2002, 19 (1/ 2) : 103-114.
  • 4Niculescu S I. Delay effects on stability: a robust control approach [M]. Berlin, Germany: Springer-Verlag, 2001: 205-273.
  • 5Mao X,Koroleva N,Rodkina A. Robust stability of uncer- tain stochastic differential delay equations [J]. Syst Control Lett, 1998,35 (5) : 325- 336.
  • 6Mao X, Selfridge C. Stability of stochastic interval systems with time delays[J]. Syst Control Lett, 2001, 42 (4) :279-290.
  • 7Xu S, Chu Y, Lu J. Exponential dynamic output feedback controller design for stochastic neutral systems with distrib- uted delays [J]. IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, 2006, 36 (3) :540-547.
  • 8华民刚,邓飞其.不确定中立随机分布时滞系统的鲁棒H_∞控制[J].华南理工大学学报(自然科学版),2008,36(5):106-112. 被引量:8
  • 9Boyd S, Ghaoui L E, Feron E, et al. Linear matrix inequali- ty in system and control theory//SIAM Studies in Applied Mathematic s[M]. Philadelphia: SIAM, 1994:7-9.

二级参考文献15

  • 1包俊东,邓飞其,罗琦.参数不确定分布时滞随机微分系统的指数稳定性(英文)[J].华南理工大学学报(自然科学版),2004,32(12):65-69. 被引量:6
  • 2谢立,刘济林,许晓鸣.不确定多重时滞随机中立系统鲁棒H_∞控制[J].控制理论与应用,2006,23(6):923-928. 被引量:6
  • 3Garey M, Johnson D. Computers and intractability :a guide to the theory of NP-completeness [ M]. San Francisco: Freeman, 1979.
  • 4Jiang X,Han Q. On H∞ control for linear systems with interval time-varying delay [ J ]. Automatica, 2005, 41 (12) :2099-2106.
  • 5Gao J,Huang B, Wang Z. LMl-based robust H∞ control of uncertain linear jump systems with time-delays [ J]. Automatica,2001,37(7) :1 141-1 146.
  • 6Kim J H,Park H B. H∞ state feedback control for generalized continuous/discrete time-delay system [ J ]. Automatica, 1999,35 (8) : 1443-1451.
  • 7Yoneyama J. Design of H∞ control for fuzzy time-delay systems [ J]. Fuzzy Sets and Systems ,2005,151 (1) :167- 190.
  • 8Hinrichsen D, Pritchard A J. Stochastic H∞ [ J ]. SIAM J Control and Optimization, 1998,36 (5) : 1504-1538.
  • 9El Bouhtouri A,Hinrichsen D,Pritchard A J. H-type control for discrete-time stochastic systems [ J ]. International Journal of Robust and Nonlinear Control, 1999,9 ( 13 ) : 923-948.
  • 10Xie S, Xie L. Stabilizat ion of a class of uncertain largescale stochastic systems with time delays [ J]. Automatica, 2000,36( 1 ) : 161-167.

共引文献7

同被引文献11

  • 1Qiu Jiqing, He Haikuo, Shi Peng. Robust sochastic stabili-zation and Hoo control for neutral stochastic systems withdistributed delays [J]. Circuits Syst Signal Process, 2011,30: 287-301.
  • 2Mao X, Koroleva N, Rodkina A. Robust stability of uncer-tain stochastic differential delay systems [J]. SystemsControl Letters, 1998,35(5):325-336.
  • 3Xiong Lianglin,Ding Xiuyong, Zhong Shouming. New de-lay-dependent stability conditions for neutral systems withnonlinear perturbations [J]. World Academy of Science, En-gineering and Technology, 2010.43:146-422.
  • 4Zhao Xiaoqi f Liu Yuzhong, Zhao Meng. A less conserva-tive result of H-Infinite output tracking control for neutralsystems with time-varying delay and nonlinear perturba-tions [C]//IEEE CCDC,2011:509-514.
  • 5Liu Duyu, Zhong Shouming, Xiong Lianglin. On robuststability of uncertain neutral systems with multiple delays[J]. Chaos, Solitons Fractals, 2009, 39: 2332-2339.
  • 6QuShaocheng, SunChuan, Wang Yongji. Design of slidingmode control for neutral time-delay systems [C]//Intema-tional Conference on Control and Automation, Vol 1,2005:49-52.
  • 7Qian Xiaofei, Zhang Xiaomei, Lu Guoping. Sliding modecontrol for neutral stochastic systems with time-delay[C]//Proceedings of the 30th Chinese Control Conference,Yantai,China,2011: 2612-2616.
  • 8Zhang Muyong, He Youguo,Wu Xiao. Design of slidingmode control for uncertain neutral delay systems [Cj//IEEE International Conference on Intelligent Control andProcessing, 2011,1071 - 1075.
  • 9Qu Shaocheng, Gong Meijing, Wang yongji. Sliding modecontrol for uncertain neutral system with time~delays[J].Kybemetes, 2009,38 : 448-456.
  • 10Gu Keqin, Kharitonov V L, Chen Jie. Stability of time-delay systems [M]. Boston:Birkhauser, 2003:288-299.

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