Global Stability for a Coupled System of Fractional-Order Differential Equations with Discontinuous Terms on Network

Yang Gao

doi:10.1007/978-3-030-32456-8_22

Global Stability for a Coupled System of Fractional-Order Differential Equations with Discontinuous Terms on Network

Yang Gao

https://doi.org/10.1007/978-3-030-32456-8_22

Copy DOI

Publication Date: Nov 7, 2019

Affiliation: Daqing Normal University

#System Of Fractional-Order Differential Equations #Discontinuous Terms + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

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.

Full Text