Abstract
In this paper, the synchronization of a class of fractional-order discrete-time dynamical networks is concerned. The new model of fractional-order discrete-time dynamical network system with impulsive couplings among nodes is constructed. Based on the multiple Lyapunov function method, the global synchronous stability and the local synchronous stability of the system are studied and several synchronous criteria are obtained. In the end, an example with numerical simulations is presented to verify the effectiveness of our obtained findings.
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