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具有m个开关系统的渐近稳定性 被引量：5

Asymptotic Stability of m-Switched Systems
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摘要 研究了一类具有m个开关系统的渐近稳定性 ,借助于多重Lyapunov函数 ,给出了该系统全局渐近稳定的充分条件 ,部分地改进了前人的结果 . The m-switched systems has been studied and a condition of asymptotic stability is proposed for the systems by using multiple Lyapuhov functions.
作者 刘玉忠 赵军
机构地区 东北大学信息科学与工程学院
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2001年第5期745-747,共3页 Control Theory & Applications
基金 ~~
关键词 混杂系统 开关系统 渐近稳定性 LYAPUNOV函数 hybrid systems switched systems asymptotic stability Lyapunov function
分类号 TP17 [自动化与计算机技术—控制理论与控制工程]
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参考文献9

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  • 2[2]Loparo K A, Aslanis J T and HajekO. Analysis of swithched linearsystems in the plane. Part 2: Global behavior of trajectories, controllability and attainability [J]. J. of Opt. Theory and Appl., 1987,52(3): 395-427
  • 3[3]Wicks M A, Peleties P and DeCarlo R A. Constructions of piecewise Lyapunov functions for stabilizing switched systems [ A ]. Proc.IEEE Conf. on Decision and Control [C], Lake Buena Vista, FL,1994,3492 - 3497
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同被引文献17

  • 1聂宏,赵军.一类不确定切换组合系统的分散H_∞鲁棒镇定[J].自动化学报,2004,30(4):635-640. 被引量：15
  • 2聂宏,赵军.一类线性切换系统具有H_∞性能指标的二次稳定[J].控制理论与应用,2004,21(2):189-194. 被引量：8
  • 3谢广明 郑大钟.线性切换系统的能控性和能达性[J].控制理论与应用,1999,16:135-140.
  • 4SKAFIDAS E,EVANS R J, SAVKIN A V, et al. Stability results for switched controller systems [J] . Automatica , 1999, 35 (4): 553 -564.
  • 5LIBERZON D, MORSE A S. Basic problems in stability and design of switched systems [J]. IEEE Control Systems Magazine, 1999,19 (5) :59 - 70.
  • 6BRANICKY M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J] . IEEE Trans on Automatic Control, 1998,43(4) :475 - 482.
  • 7LI Z G,WEN C,SOH Y C.Stability of perturbed switching nonlinear systems [C]//American Control Conference.San Diego,CA:[s.n.],1999,2969-2973
  • 8LEE S H ,LIM J T. Switching control of H∞ gain scheduled controllers in uncertain nonlinear systems [J].Automatica,2000,36(7):1067-1074.
  • 9PETERSEN I R. A stabilization algorithm for a class of uncertain linear systems [J]. Systems & Control Letters, 1987,7(8) :351 - 357.
  • 10BOYD S, GHAOUI L E. FERON E, et al. Linear Matrix Inequalities in System and Control Theory [M]. Philadelphia, PA: SIAM, 1994.

引证文献5

二级引证文献39

控制理论与应用
2001年 第5期

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