Mode-dependent state estimation for discrete-time genetic regulatory networks with a random delay described by a Markovian chain

This paper deals with the robust state estimation problem for a class of discrete-time genetic regulatory networks (GRNs) with a random delay described by a Markovian chain. The norm-bounded uncertainties and random delay described by a Markovian chain are considered in the discrete-time GRNs. Based on the Lyapunov stability theory and matrix inequality technique, sufficient conditions are derived to ensure the error state system to be (robustly) stochastically stable in the mean square sense. Numerical examples are given to show the effectiveness of the developed results.