Global exponential stability analysis of discrete-time genetic regulatory networks with time-varying discrete delays and unbounded distributed delays

Abstract

This paper addresses the problem of exponential stability analysis of discrete-time genetic regulatory networks (GRNs) with time-varying discrete delays and unbounded distributed delays. A novel approach is proposed to establish delay-dependent and -independent global exponential stability criteria for the class of GRNs under consideration. The main novelties lie in: (i) without any auxiliary function or Lyapunov–Krasovskii functional is required in the process of deriving the global exponential stability criteria; (ii) the obtained stability criteria improves or generalizes the existing results; (iii) the obtained stability criteria are directly represented by the systems parameters, which can be conveniently verified; and (iv) the exponential estimation of GRNs can be obtained from the derivation process of the exponential stability criteria. The effectiveness of theoretical results is illustrated by presenting several numerical examples.