State observer for delayed gene regulatory networks with coupled cyclic‐central structure

Abstract

This article researches the state observer for delayed gene regulatory networks (GRNs) with coupled cyclic-central structure. The GRN under consideration consists of a cyclic subnet and a central subnet, which have multiple directed promotions or inhibitions. The goal is to estimate the states of the considered GRNs through the known measurement output. A sufficient condition for the global exponential stability of the error system is obtained by the definitions of the global exponential stability and the Moore-Penrose inverse of matrix. Thereby, a desired state observer of the studied GRNs is given. Lastly, a numerical example is presented to verify the validity of the designed state observer.