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ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS 被引量：3

ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS
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摘要 By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory. By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory.
作者 刘斌 刘新芝 廖晓昕
机构地区 Department of Information and Computation Science Zhuzhou Institute of Technology Department of Control Science and EngineeringHuazhong University of Science and Technology Wuhan Department of Control Science and Engineering Huazhong University of Science and Technology Wuhan
出处 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期161-169,共9页 数学物理学报（B辑英文版）
基金 ResearchsupportedbyNationalNaturalScienceFoundationofChina(60274007)PostDoctoralFoundationofChina(2003034485)andHUSTNSERC-Canada.
关键词 Uncertain impulsive system interval matrix Riccati/Hamilton-Jacobi inequality global exponential stability robust global exponential stability Uncertain impulsive system, interval matrix, Riccati/Hamilton-Jacobi inequality, global exponential stability, robust global exponential stability
分类号 O151.21 [理学—基础数学]
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二级参考文献7

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共引文献47

同被引文献21

  • 1Naghshtabrizi P,Hespanha J P,Teel A R. Exponential stability of impulsive systems with application to uncertain sam- pied--data systems[J]. Systems and Control Letters,2008,57 (5):378-385.
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  • 4Chen W H,Zheng W X. Robust stability and Hoo control of uncertain impulsive systems with time--delay[J]. Automat- ica,2009,45(1), 109- 117.
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  • 10CHEN W H,ZHENG W X.RobustStabilityandH∞-ControlofUncertainImpulsiveSystemswithTime-Delay[J].Automatica,2009,45(1):109-117.

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Acta Mathematica Scientia
2005年 第1期

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