Mittag-Leffler Synchronization of Generalized Fractional-Order Reaction-Diffusion Networks Via Impulsive Control

Cao, Yang; Dharani, S.; Sivakumar, M.; Cader, Andrzej; Nowicki, Robert

doi:10.2478/jaiscr-2025-0002

Abstract

This study is devoted to addressing the problem of robust Mittag-Leffler (ML) synchronization for generalized fractional-order reaction-diffusion networks (GFRDNs) with mixed delays and uncertainties. The proposed GFRDNs include local field GFRDNs and static GFRDNs as its special cases. An impulsive controller is intended to achieve synchronization in GFRDNs, which was previously unsolved in integer-order generalized reaction-diffusion neural networks. Novel synchronization criteria as linear matrix inequalities (LMIs) are developed to undertake the ML synchronization beneath investigation. Ensuring conditions can be efficiently solved by means of MATLAB LMI toolbox. Following that, simulations are offered for proving the impact of the findings achieved.

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Mittag-Leffler Synchronization of Generalized Fractional-Order Reaction-Diffusion Networks Via Impulsive Control

Abstract

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