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具分布型时滞随机系统的时滞相关稳定性(英文)

Delay-Dependent Stability of Stochastic Systems with Distributed Delay

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【作者】 包俊东邓飞其罗琦

【Author】 BAO Jun-dong~(1,2), DENG Fei-qi~1, LUO Qi~(1,3) (1.Institute of Automatic Science and ControlEngineering,South China University of Technology,Guangzhou 510640,China;2.School of Mathematical Science,Inner Mongolia Normal University,Huhhot 010022,China; 3.Department of Mathematics,Wuhan University of Science and Technology,Wuhan 430081,China)

【机构】 华南理工大学自动化科学与工程学院华南理工大学自动化科学与工程学院 广东广州510640内蒙古师范大学数学科学学院内蒙古呼和浩特010022广东广州510640广东广州510640武汉科技大学理学院湖北武汉430081

【摘要】 研究了具有不确定性时滞的一类线性随机微分系统的依概率鲁棒全局渐近稳定性和均方意义下的指数稳定性 ,旨在研究更为广泛的一类线性随机滞后微分系统的稳定性 .利用LMI方法 ,得到了分布时滞和离散时滞系统保守性较小的时滞相关的稳定性充分性判据 .

【Abstract】 In this paper,the robust globally asymptotically stable in probability and exponential stability in mean square of a class of linear stochastic systems with uncertain delay is probed.The purpose of this thesis is to state delay-dependent criteria for the robust stability for a class of more generalized linear stochastic systems with distributed delay.And the delay-dependent sufficient conditions of robust globally asymptotically stable in probability,further more,the exponential stability in mean square are given for distributed delay systems and the usual discrete delay systems based on the LMIs approach.

【基金】 ResearchSupportedbytheNationalNaturalScienceFoundationofChina(698740 15 ;693 3 40 3 0 ) ;ProjectFinancedbyNaturalScienceFoundationofInnerMongolia(2 0 0 3 0 80 2 0 10 1)
  • 【文献出处】 内蒙古师范大学学报(自然科学汉文版) ,Journal of Inner Mongolia Normal University(Natural Science Edition) , 编辑部邮箱 ,2004年01期
  • 【分类号】O175
  • 【被引频次】4
  • 【下载频次】87
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