Global Stability for a Coupled System of Fractional-Order Differential Equations with Discontinuous Terms on Network
In this paper, a coupled system of fractional-order differential equations with discontinuous terms is investigated. The new model is constructed to realize the discontinuous control aim via the threshold policy (TP). Firstly, equilibrium’s existence theorems for the new model are obtained by using the algebra theory and Filippov theory. Secondly, sufficient conditions to global Mittag-Leffler stability of the equilibrium are obtained based on the new model by applying graph theoretical approach of coupled systems and Laplace transform method.
KeywordsFilippov Caputo Mittag-Leffler Global stability Threshold policy Differential inclusion
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