Robust Exponential Stability Analysis for Delayed Gene Regulatory Networks

A gene regulatory network was established in the form of matrix equation, and its robust exponential stability was analyzed under the condition that the norm of a given uncertain parameter was bounded. Firstly, Lyapunvo functional was constructed and its Dini derivative was obtained.Then, the matrix inequality method was used to obtain the robust exponential stability of the delay gene regulatory network under the condition that two block matrices are positive definite. Then, the matrix inequality method was used to obtain the robust exponential stability of the delay gene regulatory network under the condition that two block matrices are positive definite. Finally, the specific network parameters was given, it was simulated with MATLABR software, and the specific positive definite matrix was, and the specific positive definite matrix was gotten, and then verify the correctness of the theoretical results.