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In this paper, we present a new robust delay dependent asymptotic stability criteria for genetic regulatory networks with time varying delays. The obtained results have no restriction on the magnitude of derivative of time varying delay, which is less conservative than some existing results. Based on Lyapunov stability theory and linear matrix inequality (LMI), sufficient condition for genetic regulatory...
This paper addresses robust stability of genetic regulatory networks (GRNs) with stochastic perturbation and discrete and distributed time-varying delays. Aside from discrete delays, there are few results about stability of GRNs with distributed delay. In this paper, noise perturbation and delays have been considered in both mRNA and protein dynamics. Based on Lyapunov functional approach and linear...
This paper presents a analysis approach to asymptotic stability of the genetic regulatory networks with interval time-varying delays, the delays play an important role in dynamics of genetic networks and cannot be ignored in the modeling of genetic regulation due to slow biochemical reactions. The free weighting matrices are employed to deal with cross product items, and the convexity of the matrix...
In this paper we study the asymptotic stability of neutral functional differential equation (NFDE) model of genetic regulatory networks (GRNs) with time-varying delays. It is assumed that time varying delays belong to the predefined intervals. SUM regulatory logic was used for the modeling of the effects from other genes. We consider not only time delayed concentration of messenger ribonucleic acid...
This paper is concerned the robust stability analysis problem for genetic regulatory networks with time-varying delays. By utilizing a Lyapunov-Krasovskii functional, we show that the addressed genetic regulatory networks are robustly, asymptotically stable if a convex optimization problem is feasible. A stability criterion is derived and formulated by means of the feasibility of a linear matrix inequality...
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