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变分Lyapunov函数方法与脉冲时滞切换系统的稳定性 被引量:1

Variational Lyapunov Method and Stability of Impulsive Switched Systems with Time Delay
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摘要 利用变分Lyapunov函数方法和Razumikhin技巧,建立了脉冲时滞切换系统的变分比较原理,得到了该系统一致渐近稳定的比较结果。 By using the method of variational Lyapunov function and Razumikhin technique, the variational comparison theorem of impulsive switched systems with time delay is established. Some sufficient conditions for the uniform asmptotical stability of such systems are obtained.
出处 《科学技术与工程》 2009年第4期829-831,841,共4页 Science Technology and Engineering
基金 国家自然科学基金(10571111) 山东省自然科学基金(Y2007A10)资助
关键词 脉冲时滞切换系统 变分Lyapunov函数 RAZUMIKHIN技巧 一致渐近稳定 impulsive switched systems with time delay variational lyapunov function razumikhin technique uniform asymptotical stability
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参考文献5

  • 1Liu Y,Feng W.Razumikhin-Lyapunov functional method for the sta-bility of impulsive switched systems with time delay[].Mathematicaland Computer Modelling.2008
  • 2Liberzon D,Morse A S.Basic problems in stability and design ofswitched systems[].IEEE Control Systems Magazine.1999
  • 3Ye Sun,Anthony N Michel,Guisheng Zhai.Stability of Discontinuous Retarded Functional Differential Equations with Applications[].IEEE Transactions on Automatic Control.2005
  • 4Chunhai Kou Shunian Zhang and Yongrui Duan.Variational Lyapunov method and stability analysis for impulsive delay differential equations[].Computers and Mathematics With Applications.2003
  • 5Peiguang Wang,Hairong Lian.On the stability in terms of two measures for perturbed impulsive integro-differential equations[].Journal of Mathematical Analysis and Applications.2006

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