不确定中立型时滞系统的鲁棒稳定性

广东工业大学学报 ›› 2008, Vol. 25 ›› Issue (4): 37-40.

不确定中立型时滞系统的鲁棒稳定性

广东工业大学应用数学学院；

出版日期:2008-03-01 发布日期:2008-03-01

Robust Stability of Uncertain Neutral Systems with Time-delays

Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China

Online:2008-03-01 Published:2008-03-01

摘要/Abstract

摘要： 研究了一类具有不确定结构中立型时滞系统的鲁棒稳定性问题.通过构造Lyapunov泛函,结合线性矩阵不等式(LMI),引进适当的矩阵变量,对具有结构不确定性的中立型时滞系统的鲁棒稳定性进行了分析和研究,得到了系统鲁棒渐进稳定的充分条件.并举例说明了该结果是可行的,且具有较小的保守性. 更多还原

关键词: 中立型系统；不确定性；渐近稳定；线性矩阵不等式(LMI)；

Abstract: It analyzed based on the Lyapunov-Krasovskii functional theorem,the robust stability of uncertain neutral systems with time-delays by introducing appropriate matrix variables,and obtainod some new asymptotic stability criteria.Numerical examples show that the results are effective and less conservative than some existing results.

Key words: neutral systems； time-varying structured uncertainties； asymptotically stable； linear matrix inequality(LMI)；

陈贞丰；金朝永；陈德银；范永青；. 不确定中立型时滞系统的鲁棒稳定性[J]. 广东工业大学学报, 2008, 25(4): 37-40.

Chen Zhen-feng,Jin Chao-yong,Chen De-ying,Fan Yong-qing. Robust Stability of Uncertain Neutral Systems with Time-delays[J]. Journal of Guangdong University of Technology, 2008, 25(4): 37-40.

参考文献

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[2] Han Qing-long.A descriptor system approach to robust sta-bility of uncertain neutral systems with discrete and distrib-uted delays. Proceedings of the American control con-ference . 2003

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[4] Xie L.Output feedbackH∞control of systems with parameteruncertainty. International Journal of Control . 1996

[5] Hong Li,Shou-ming Zhong,Hou-biao Li."Some new simple stability criteria of linear neutral systems with a single delay". Journal of Computational and Applied Mathematics . 2007

[6] Ju-HPark,,S Won.A note on stability of neutral delay-dif-ferential systems. Journal of the Franklin Institute Engineering and Applied Mathematics . 1999

[7] Park,J.H.,Won,S.Stability analysis for neutral delay-differential systems. Journal of the Franklin Institute Engineering and Applied Mathematics . 2000

[8] Han Q L.Robust stability of uncertain delay-differential systems of neutral type. Automatica . 2002

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