Global Mittag-Leffler stability for a coupled system of fractional-order differential equations on network with feedback controls

摘要

This paper investigates a coupled system of fractional-order differential equations on network with feedback controls (CSFDENFCs). By using the contraction mapping principle, Lyapunov method, graph theoretic approach and inequality techniques, some sufficient conditions are derived to ensure the existence, uniqueness and global Mittag-Leffier stability of the equilibrium point of CSFDENFCs. Finally, numerical simulations are presented to demonstrate the validity and feasibility of the theoretical results. (C) 2016 Elsevier B.V. All rights reserved.