Quasi-synchronization and stabilization of discrete-time fractional-order memristive neural networks with time delays

In this article, the quasi-synchronization (Q-S) and stabilization of a sort of discrete-time fractional-order memristive neural networks (DFMNNs) with time delays are considered. First of all, the definitions of PLANCK CONSTANT OVER TWO PI-discrete fractional operator are given, some basic properties of difference operators are gained, and then according to the above definitions and properties, several flesh inequalities of discrete-time fractional-order difference are established, which greatly expands the existing results. In addition, by use of Lypunov direct method and some related lemmas obtained above, the adequate Q-S criteria are obtained for DFMNNs with time delays under the delay feedback controller. At the same time, we also yield the relevant conditions of stabilization. Finally, the validity and availability of the above theoretical results are verified by numerical simulations.