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具有任意未知常时滞线性大系统的稳定性 被引量:2

STABILITY OF LINEAR LARGE_SCALE SYSTEMS WITH ANYUNKNOWN BUT CONSTANT DELAYS
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摘要 采用李雅普诺夫泛函法结合一个二次型不等式建立了时滞大系统的稳定性判据.所考虑的时滞可以是任意未知常时滞,故所得结果是时滞无关的.例子比较结果证明,所建立的结果优于文献中给出的结果.同时,给出了例子的仿真结果. Established in this paper are some delay_independent stability criteria for large_scale time_delay systems by Lyapunov functional method together with a vector inequality. The time delays under consideraion can be arbitrary unknown but constant. Therefore, the obtained results do not depend on the delays. An illustrative example with the simulation shows that the results are better than the existing ones in the references.
出处 《华南理工大学学报(自然科学版)》 EI CAS CSCD 北大核心 1998年第3期39-43,共5页 Journal of South China University of Technology(Natural Science Edition)
基金 国家自然科学基金 广东省自然科学基金 国家教委优秀年轻教师基金
关键词 时滞 大系统 稳定性 arbitrary unknown but constant time delays large_scale systems stability
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参考文献4

  • 1胥布工,Int J Syst Sci,1997年,28卷,1311页
  • 2Chang H H,Appl Math Comput,1995年,16卷,277页
  • 3胥布工,IEEE Trans Autom Control,1995年,930页
  • 4Wang W J,Int J Syst Sci,1991年,22卷,209页

同被引文献13

  • 1Wang W J and Song C C. Robustness bounds for large- scale systems with delay[J ]. Control Theory and Advanced Technology, 1991, .5:315-322.
  • 2Schoen G M and Geering H P A. Note on robustness bounds for large-scale time-delay systems[J]. Int. J. Systems Sci.,1995.26: 2441-2444.
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  • 4A. Hmamed. Further results on the stability of uncertain timedelay systems[J]. Int. J. Systems Sci., 1991, 22(3) : 605 -614.
  • 5Mori T, Fukuma N and Kuwahara M. Simple stability criteria for single and composite linear systems with delay[J]. Int. J.Control, 1986(34) : 1175 - 1184.
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  • 7Hmamed A. Note on the stability of large - scale systems with delays[J]. Int. J. Systems Sci.. 1986(17):1083-1087.
  • 8肖淑贤.变系数时滞积微分系统的稳定性[J].应用数学,1999,12(1):9-14. 被引量:1
  • 9胡海岩,王在华.非线性时滞动力系统的研究进展[J].力学进展,1999,29(4):501-512. 被引量:64
  • 10吴方向,周宗锡,史忠科,戴冠中.时滞系统的鲁棒稳定性分析[J].控制与决策,1999,14(A11):506-510. 被引量:4

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