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退化时滞微分系统的全时滞稳定性 被引量:2

ON STABILITY INDEPENDENCE FOR DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAY
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摘要 本文利用复Lyapunov方程给出了退化时滞微分系统全时滞渐近稳定的充要条件 In this paper, we study degenerate differetial systems with delay. Complex Lyapunov equation is used to deduce necessary and sufficient conditions for asymptotic stability for every value of the delay.
作者 李晓艳 蒋威
机构地区 安徽大学数学系
出处 《数学杂志》 CSCD 北大核心 2004年第5期509-512,共4页 Journal of Mathematics
基金 国家自然科学基金资助项目 (1 0 2 4 1 0 0 5)
关键词 退化时滞微分系统 渐近稳定性 复Lyapunov 方程 degenerate differential systems with delay complex Lyapunov equation asymptotic stability
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参考文献7

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二级参考文献2

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共引文献50

同被引文献4

  • 1[3]Debeljkovic D Lj.Further Results on Singular Time Delayed Systems Stability[J].American Control Conferenee 2005(7):4271-4276.
  • 2[4]Xu Shengyuan,Lam Jamea.Improved Delay-dependent Stability Criteria for Time-Delay Systems[J].IEEE Trans on Automat Contr,2005,50(3):384-387.
  • 3[5]Kwon O M,Park J H.On Improved Delay-dependent Robust Control for Uncertain Time.delay Systems[J].IEEE Trans on Automat Contr,2004,49(11):1991-1995.
  • 4FENG Yi-Fu,ZHU Xun-Lin,ZHANG Qing-Ling.Delay-dependent Stability Criteria for Singular Time-delay Systems[J].自动化学报,2010,36(3):433-437. 被引量:9

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