Anbalagan, PratapHincal, EvrenRamachandran, RajaBaleanu, DumitruCao, JindeNiezabitowski, Michal2025-05-092025-05-0920221561-86251934-6093https://doi.org/10.1002/asjc.2733https://hdl.handle.net/20.500.12416/9521Anbalagan, Pratap/0000-0002-5990-7315; Ramachandran, Raja/0000-0003-0830-4933This 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.eninfo:eu-repo/semantics/closedAccessCaputo Fractional OrderGenetic Regulatory NetworksImpulsive SynchronizationState Estimator DesignArticle10.1002/asjc.27332-s2.0-85129522247