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

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.