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《第37届中国控制会议论文集(A)》2018年
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Stability criteria for genetic regulatory networks with time delays

Shasha Xiao  Yantao Wang  Xian Zhang  
【摘要】:This paper aims at proposing a new method to establish stability criteria for a class of genetic regulatory networks with time delays.By using the property of calculus and the Lagrange's Mean–Value Theorem to reduce the order of system model,we get a reduced-order system with distributed delays and bounded uncertain parameters,which simplifies the problem under consideration.By the help of Hospital's rule and the definition of stability,the relationship between stability for the reduced-order model and the original one is obtained.Based on the Lyapunov stability theory,Cauchy–Schwarz inequality,linear matrix inequalities and convex combination technique,the robust asymptotic stability criterion of the reduced-order system are established.From which,the asymptotic stability criterion for the original system is derived.The simulation results of a numerical example show the validity of the proposed approach.

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