期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

时滞不确定随机系统的鲁棒稳定性 被引量：1

Robust Stability of Uncertain Stochastic Systems with Time-Delays
在线阅读 下载PDF
导出
摘要 主要研究了带有时滞的不确定随机系统的均方鲁棒指数稳定性问题。根据有关线性矩阵不等式理论,结合李亚普诺夫函数法,充分利用系统的扩散项,建立了1个新的时滞相关稳定判据,使文中的时滞不确定随机系统是鲁棒均方指数稳定的。给出了具体的数值例子说明了研究结果的可行性和有效性。 This paper studies mean square robust exponentially stability of uncertain stochastic systems.With the help of linear matrix inequality theory and Lyapunov function,and taking full advantage of diffusion in the systems,an algebraic criterion of delay-dependent stability is established for uncertain stochastic time systems.The main results are illustrated by a numerical example.
作者 高存臣 崔红艳
机构地区 中国海洋大学数学科学学院
出处 《中国海洋大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第7期202-206,共5页 Periodical of Ocean University of China
基金 国家自然科学基金项目(60974025) 山东省自然科学重点基金项目(Z2006G11)资助
关键词 随机系统 时滞 线性矩阵不等式 时滞相关指数稳定性 stochastic systems time delays linear matrix inequality delay-dependent exponentially stable
分类号 O231.3 [理学—运筹学与控制论]
  • 相关文献

参考文献12

  • 1Feng Z,Liu Y.Stability analysis and stabilization synthesis of stochastic large scale systems[M].Beijing:Science Press,1995.
  • 2Kolmanovskii V B,Myshkis A.Introduction to the theory and applications of functional differential equations[M]. Dordrecht:Kluwer Academic Publishers,1999.
  • 3Park P G.A delay-dependent stability criterion for systems with uncertain time-invariant delays[J].IEEE Transactions on Autouatic Control,1999,44:876-877.
  • 4Chen W H,Guan Z H,Lu X.Delay-dependent exponential stability of uncertain stochastic systems with multiple delays:An LMI approach[J].Systems & Control Letters,2005,54:547-555.
  • 5Huang L,Deng F.Robust exponential stabilization of stochastic large scale delay systems[C].[s.l.]:Proceedings of 2007 IEEE International Conference on Control and Automation,2007:107-112.
  • 6Shen Y,Luo Q,Mao X.The improved LaSalle-type theorems for stochastic functional differential equations[J].Journal of Mathematical Analysis and Applications,2006,318:134-154.
  • 7Shen Y,Luo Q,Mao X.The improved LaSalle-type theorems for stochastic functional differential equations[J].Journal of Mathematical Analysis and Applications,2006,318:134-154.Shen Y,Luo Q,Mao X.The improved LaSalle-type theorems for stochastic functional differential equations[J].Journal of Mathematical Analysis and Applications,2006,318:134-154.Shen Y,Luo Q,Mao X.The improved LaSalle-type theorems for stochastic functional differential equations[J].Journal of Mathematical Analysis and Applications,2006,318:134-154.Shen Y,Luo Q,Mao X.The improved LaSalle-type theorems for stochastic functional differential equations[J].Journal of Mathematical Analysis and Applications,2006,318:134-154.Shen Y,Luo Q,Mao X.The improved LaSalle-type theorems for stochastic functional differential equations[J].Journal of Mathematical Analysis and Applications,2006,318:134-154.
  • 8Mao X.Stochastic differential equations and applications[M].(2nd ed.).Chichester:Horwood Publishing,2007.
  • 9Xu S,Shi P,Chu Y,et al.Robust stochastic stabilization andH1 control of uncertain neutral stochastic time-delay systems[J].Journal of Mathematical Analysis and Applications,2006,314:1-16.
  • 10K Gu.An integral inequality in the stability problem of time-delay systems[C].Sydney:Proceedings of 39th IEEE Conference on Decision and Control,2000:2805-2810.

同被引文献9

引证文献1

二级引证文献1

中国海洋大学学报（自然科学版）
2011年 第7期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部