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状态依赖下不确定切换线性系统有限时间稳定性分析 被引量:1

Finite Time Stability of Uncertain Switched Linear Systems under State-Dependent Switching
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摘要 结合凸组合方法,采用状态依赖切换策略来设计切换信号,基于Lyapunov类函数的方法,解决了一类带有不确定项的切换线性系统的有限时间稳定性问题,并且分析了滑膜现象产生的情况. Based on the method of multiple Lyapunov-like functions,the problem of finite time stability of uncertain switched linear systems under state-dependent switching is studied,using the method of covex combinations and state-dependent strategy.The generating of sliding motion is analyzed.
出处 《沈阳大学学报(自然科学版)》 CAS 2014年第6期514-517,共4页 Journal of Shenyang University:Natural Science
关键词 切换线性系统 不确定项 状态依赖切换策略 有限时间稳定 switched linear systems uncertainties state-dependent switching strategy finite time stability
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同被引文献8

  • 1Amato F, Ariola M, Dorato P. Finite-Time Control of Linear Systems Subject to Parametric Uncertainties and Disturbances[J]. Automatica, 2001,37(9) : 1459 - 1463.
  • 2Garcia G, Tarbouriech S, Bernussou J. Finite-Time Stabilization of Linear Time-Varying Continuous Systems I-J]. IEEE Transactions on Automatic Control, 2009,54 (2) :364 - 369.
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  • 4Liu H, Shen Y, Zhao X D. Delay-Dependent Observer- Based H1 Finite-time Control for Switched Systems with Time-Varying Delay [" J 1. Nonlinear Analysis: Hybrid Systems, 2012,6(3) :885 - 898.
  • 5Du H B, Lin X G, Li S H. Finite-Time Boundedness and Stabilization of Switched Linear Systems[-J-]. Kybernetika, 2010,46(5) :870 - 889.
  • 6Zhao G L, Wang J C. Finite Time Stability and Lz-Gain Analysis for Switched Linear Systems with State-Dependent Switching[J']. Journal of the Franklin Institute, 2013,350 (5) : 1075 - 1092.
  • 7Liu H, Shen Y, Zhao X D. Finite-Time Stabilization an Boundedness of Switched Linear System under State- Dependent SwitchingD]. Journal of the Franklin Institute, 2013,350(3) :541 - 555.
  • 8Pettersson S. Synthesis of Switched Linear Systems[C~// Proceedings of the 42nd IEEE Conference on Decision and Control. Maul, zooa..528a - 5288.

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