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Adaptive Stabilization for Genetic Regulatory Networks with Mixed Delays
HU Jianqiang,LIANG Jinling *
Department of Mathematics,Southeast University, NanJing 210096
*Correspondence author
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Funding: The Specialized Research Fund for the Doctoral Program of Higher Education for New Teachers in China （No.200802861044）
Opened online:11 January 2012
Accepted by: none
Citation: HU Jianqiang,LIANG Jinling.Adaptive Stabilization for Genetic Regulatory Networks with Mixed Delays[OL]. [11 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459588
 
 
In this paper, the stabilization of a class of mixed delayed genetic regulatory networks (GRNs) is investigated. The adaptive feedback control scheme is used to achieve global asymptotic stability for the GRNs with finite distributed delays and discrete delays. By introducing the integral partitioning technique and delay fractioning approach, a Lyapunov-Krasovskii function (LKF) is constructed, and some sufficient stability criteria in the form of LMIs are established. Finally, a numerical example is given to illustrate the effectiveness of our theoretical results and less conservativeness of the proposed method.
Keywords:Genetic regulatory networks; Adaptive control; Integral partitioning technique; Delay fractioning approach; Mixed delays
 
 
 

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