Delay-Derivative-Dependent Stability Criterion for Neutral Type Lurie System with Interval Time-Varying Delay

XUE Mingxiang; FEI Shumin; LI Tao; PAN Juntao

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Delay-Derivative-Dependent Stability Criterion for Neutral Type Lurie System with Interval Time-Varying Delay

XUE Mingxiang 1 * #,FEI Shumin 2,LI Tao 1,PAN Juntao 3

1.School of Automation, Southeast University

2.School of Mathematical Sciences, Anhui University

3.School of Instrument Science & Engineering, Southeast University

*Correspondence author

#Submitted by

Subject:

Funding: National Natural Science Foundation of China（No.No. 60764001, 60835001, 60875035, 60904023, 11071001）, Doctoral Fund of Ministry of Education of China（No.No. 20070286039, 20093401110001）

Opened online:23 February 2011

Accepted by: none

Citation: XUE Mingxiang,FEI Shumin,LI Tao.Delay-Derivative-Dependent Stability Criterion for Neutral Type Lurie System with Interval Time-Varying Delay[OL]. [23 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4410590

In this brief, based on Lyapunov-Krasovskii functional approach and appropriate integral inequality, some new sufficient conditions are derived to guarantee the global asymptotically stability for neutral Lurie system with interval time-varying delay, in which the improved convex combination are employed. The LMI-based criterion heavily depends on both the upper and lower bounds on time delay and its derivative, which is different from the existent ones and has wider application fields than some present results. Finally, two numerical examples can illustrate the efficiency of the new method and reduced conservatism of the presented results.

Keywords:neutral type; absolute stability; time-varying delay; linear matrix inequality(LMI)

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