Title :
Robust Stability of Stochastic Genetic Regulatory Networks with Time-Varying Delays
Author :
Wang, Zhengxia ; Mao, Jiali ; Liu, Guodong ; Wu, Haixia
Author_Institution :
Sch. of Sci., Chongqing Jiaotong Univ., Chongqing
Abstract :
In this paper, the global robust asymptotical stability of delayed genetic regulatory networks with stochastic disturbance and SUM regulatory functions is studied. Time delays are assumed to be time-varying and differentiable, the parameter uncertainties are time-varying and norm-bounded. Based on the Lypapunov method and Lur´e system approach, sufficient conditions are given to ensure the stability of the genetic regulatory networks. All the stability conditions are given in terms of LMIs which are easy to be verified. Illustrative example is presented to show the effectiveness of the obtained results.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; stochastic systems; LMI; Lur´e system approach; Lypapunov method; SUM regulatory functions; delayed genetic regulatory networks; global robust asymptotical stability; parameter uncertainties; stochastic disturbance; stochastic genetic regulatory networks; time-varying delays; Biological system modeling; Computer networks; Computer science education; Continuing education; Delay effects; Differential equations; Genetics; Robust stability; Stochastic processes; Sufficient conditions; genetic regulatory networks; robust stability; stochastic perturbation; time-varying delays; uncertain system;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.566
