Delay-dependent robust H? H ? filtering of uncertain stochastic genetic regulatory networks with mixed time-varying delays
In this paper, the robust H? H ? filtering problem for uncertain stochastic genetic regulatory networks (GRNs) with mixed time-varying delays is involved. The uncertain stochastic GRNs under consideration are extended to involve It-type stochastic disturbance, norm-bounded parameter uncertainties, and time-varying discrete and distributed delays. By constructing a proper LyapunovKrasovskii functional and using reciprocal convex technique, sufficient conditions in terms of linear matrix inequalities were presented to guarantee that the filtering error systems are mean-square robustly asymptotically stable with disturbance attenuation level ?. In the end, two numerical examples are given to illustrate the effectiveness of the proposed approach.
mixed time-varying delays stochastic genetic regulatory networks (grns) h? h ? filtering h? h ? h? h ? h ? mean-square asymptotical stability