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一类离散切换系统的渐近稳定性 被引量:10

Asymptotic stability of a class of discrete switched systems
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摘要 利用多Lyapunov函数 ,研究了一类由m个离散子系统构成的切换系统的渐近稳定性 ,给出了该系统全局渐近稳定的两个充分条件 .仿真结果表明文中的结论是有效的 . Switched systems consisting of a class of m-discrete subsystems are studied. Two sufficient conditions of asymptotic stability are given by using multi-Lyapunov functions. The simulations show the validity of the result.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2002年第5期774-776,共3页 Control Theory & Applications
基金 国家自然科学基金 ( 79970 114 ) 国家攀登计划 ( 970 2 110 17) 国家留学回国人员基金 教育部资助 东北大学骨干教师基金资助项目
关键词 离散切换系统 渐近稳定性 混合动态系统 LYAPUNOV函数 hybrid dynamical systems discrete systems switched systems asymptotic stability multi-Lyapunov methods
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参考文献5

  • 1Xie Guangming, Zheng Dazhong. Controllability and reachability of linear switching systems [J]. Control Theory and Applications,1999, 16(Suppl.):135-140 (in Chinese)
  • 2Narendra K S, Balakrishnan J. A common Lyapunov function for stable LTI systems with commuting A-matrices [J]. IEEE Trans. on Automatic Control, 1994,39(12):2469-2471
  • 3Shorten R N, Narendra K S. A sufficient condition for the existence of a common Lyapunov function for two second-order linear systems [A]. In Proceedings of the Conference on Decision and Control [C]. San Diego, California, USA, 1997,3521- 3522
  • 4Branicky M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].IEEE Trans. on Automatic Conuol, 1998, 43(4) :475 -482
  • 5Peleties P, DeCarlo R A. Asymptotic stability of m-switched systems using Lyapunov-like functions [ A ]. In Proceedings of American Control Conference[C]. Boston, MA, USA, 1991,1679-1684

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