An Asymptotic State Estimator Design and Synchronization Criteria for Fractional Order Time-Delayed Genetic Regulatory Networks

Abstract

This paper mainly investigates the asymptotic state estimator design and impulsive controlled synchronization for fractional-order time-delayed genetic regulatory networks (FOTDGRNs). Different from the existing state estimator results, the asymptotic state estimator design of FOTDGRNs is studied by using a novel algebraic method, fractional-order Lyapunov-Razumikhin method, and some famous inequality techniques. Afterward, a suitable impulsive controller is designed for the global asymptotic synchronization criteria for addressing master-slave systems. At last, the paper comes up with two numerical cases to justify the applicability of our theoretical outcomes.