Abstract
AbstractThis 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.
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