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一类具有区间时变多状态时滞系统的稳定性分析 被引量：2

Stabilization analysis for systems with multiple interval time-varying time-delays
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摘要 研究一类具有区间时变多状态时滞且时滞导数不确定的系统的稳定性问题.通过选择合理的Lyapunov-Krasovskii函数结合辅助变量和广义状态法,以LMI的形式给出了时滞相关的稳定性充分条件.文中的结论对时滞的导数没有任何限制,可用于具有快时变时滞系统.与已有的相关研究成果相比,结论更具有一般性,保守性也更低.最后通过仿真及数值算例说明了本文方法的有效性和优越性. The stabilization of multiple interval time-varying time-delay systems is considered,in which the derivatives of the time-varying delay is unknown.By choosing appropriate Lyapunov-Krasovskii functional,the auxiliary variables and the generalized states,we derive for these systems the sufficient conditions of delay-dependent stabilization in terms of LMI（linear matrix inequality）.The results are free from the restriction on the derivatives of the time-varying delays;thus,can be applied to systems with fast time-varying time-delay.Compared with existing relevant results,our results are more general and less conservative.Simulation and numerical examples validate the effectiveness and advantages of the proposed method.
作者 王新梅 魏武 裴海龙 贺良华
机构地区 中国地质大学机械与电子信息学院 华南理工大学自动化科学与工程学院
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2010年第6期786-792,共7页 Control Theory & Applications
基金 国家自然科学基金重点资助项目(60736024 60574004)
关键词 区间时变 多状态时滞系统 线性矩阵不等式 interval time-varying multiple time-delays systems LMI（linear matrix inequality）
分类号 TP13 [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13

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同被引文献16

  • 1黄小猛,林闯,任丰源.高速传输协议研究进展[J].计算机学报,2006,29(11):1901-1908. 被引量：17
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  • 5TANG A, LOW S H. An accurate link model and its application to stability analysis of FAST TCP[C]//Proceeding of the IEEE Confer- ence on Computer Communications. New York: IEEE, 2007:161 - 169.
  • 6JACOBSSON K, LACHLAN L, LOW S H. An improved link model for window flow control and its application to FAST TCP[J]. IEEE Transactions on Automatic Control, 2009, 54(3): 551 - 564.
  • 7JACOBSSON K. Dynamic modeling of internet congestion con- trol[D]. Sweden: Royal Institute of Technology(KT H), 2008.
  • 8CHOI J Y, KOO K, LOW S H. Global stability of FAST TCP in single-link single-source network[C]//Proceeding of the 44th IEEE Conference on Decision and Control. New York: IEEE, 2005:12 - 15.
  • 9KOO K, CHOI J Y, LEE J S. Parameter conditions for global stability of FAST TCP[J]. IEEE Communications Letters, 2008, 12(2):155 - 157.
  • 10CHO1 Y J, KO J W, WOOK S. Improved global stability conditions of the tuning parameter in FAST TCP[J]. IEEE Communications Let- ters, 2009, 13(3): 202 - 205.

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控制理论与应用
2010年 第6期

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