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Delay-dependent stabilization of Singular Linear Time Delay Systems Based on Memory State Feedback Control
jiang zhaohui * #,Gui Weihua ,Xie Yongfang
School of Information Science and Engineering, Central South University
*Correspondence author
#Submitted by
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Funding: the Doctor Subject Foundation of China under Grant，Natural Science Foundation of China，Natural Science Foundation of Hunan province，Science Developmen（No.20050533028，60634020，06JJ5145，07SDF13）
Opened online:26 February 2008
Accepted by: none
Citation: jiang zhaohui,Gui Weihua ,Xie Yongfang .Delay-dependent stabilization of Singular Linear Time Delay Systems Based on Memory State Feedback Control[OL]. [26 February 2008] http://en.paper.edu.cn/en_releasepaper/content/18835
 
 
In this paper, the delay-dependent stabilization problem for singular linear time-delay systems is studied by designing a delay-dependent memory state feedback controller which makes the singular linear time-delay systems regular, impulse free and asymptotically stable. Firstly, the lemma of descriptor integral-inequality is derived. Secondly, delay dependent stabilization conditions are established by using the Lyapunov-Krasovskii functional approach combined with an descriptor integral-inequality. Thirdly, an LMI based algorithm to design a memory state feedback control that stabilizes the system is provided. Finally, a numerical example is presented to illustrate the effectiveness and the availability for the design.
Keywords:Descriptor integral-inequality, singular time-delay systems, Memory state feedback control, Delay-dependent stability, Linear matrix inequality
 
 
 

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