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一类中立型非线性不确定时滞系统的鲁棒稳定性 被引量:7

Robust Stabilization of a Class of Nonlinear Neutral Time-Delay Systems with Nonlinear Perturbations
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摘要 在非线性不确定性满足增益有界条件下讨论了利用线性矩阵不等式求解一类非线性中立型不确定时滞系统的鲁棒性问题.通过构造Lyapunov函数推导出一个用线性矩阵不等式判断系统稳定性的充分条件. Robust stabilization of a class nonlinear neutral time-delay systems with nonlinear perturbation is discussed in this paper by using the method of LMI. On condition that the nonlinear uncertain functions are bounded, the authors derive a sufficient condition-a LMI stabilizes the uncertain neutral time-delay system.
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第2期42-45,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 2004年广西高校百名学科带头人资助项目(120.3040).
关键词 线性矩阵不等式 中立型时滞系统 不确定性 鲁棒性 linearity matrix inequality linear neutral timeLdelay system uncertain Robust
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参考文献4

  • 1苗军霞,周伦.一类非线性扰动中立型系统的鲁棒镇定[J].许昌学院学报,2003,22(5):10-15. 被引量:7
  • 2Jeung E T,Kim J H,Park H B.Robust Controller Design for Uncertain Systems with Time Delays:LMI[J].Automatica,1996,32:1229-1231.
  • 3Cao Y Y,Sun Y X.Robsut Stabilization of Uncertain Systems with Time Varing Multistate Delay[J].IEEE Trans Automat Contr,1998,43:1484-1488.
  • 4Sheng J C,Shen B S,Kung F C.Memoryless Stabilization of Uncertain Dynamic Delay Systems:Riccati Equation Approach[J].IEEE Trans Automat Contr,1998,43:1608-1611.

二级参考文献6

  • 1Mahmoud, M. S., AL-Muthairi, N. F., Quadratic stabilization of contionous time systems with state-delay and norm-bounded timevarying uncertainties[J] .IEEE Trans. Automat. Corte., 1994,39:2135- 2139.
  • 2Cao, Y. Y., Sun, Y, X., Cheng, C. W., Delay-dependent robust stabilization of uncertain systems with multiple state delays[ J ]. IEEE Trans. Automat. Contr., 1998,43 : 1608 - 1611.
  • 3Cao, Y, Y., Sun, Y. X., Robust stabilization of uncertain systems with time-varing multistate delay [ J ]. IEEE Trans. Automat. Contr., 1998,43 : 1484 - 1488.
  • 4Jeung,E.T. ,Kim,J.H. ,Park,H. B., Robust controller design for uncertain systems with time delays: LMI[J]. Automatica, 1996,32 : 1229 - 1231.
  • 5Sheng, J. C., Shen, B. S., Kung. F. C., Memoryless stabilization of uncertain dynamic delay systems : Rieeati Equation Approach [ J ].IEEE Trans. Automat. Contr., 1998,43 : 1608 - 1611.
  • 6Mahmoud, M. S., Robust H^∞ control of linear neutral systems [ J ]. Automatica, 2000,36: 757 - 764.

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