Global Mittag-Leffler synchronization of discrete-time fractional-order neural networks with time delays. (English) Zbl 1510.34027
Summary: In this article, the problem of the global Mittag-Leffler synchronization is proposed for a sort of discrete-time fractional-order neural networks (DFNNs) with delays. In the first place, a flesh power law inequality pertaining to fractional difference is constructed by means of integration by parts, Young inequality, and some properties about fractional-order difference. In addition, based on aforesaid inequalities, Lyapunov function theory and properties of nabla Mittag-Leffler function as well as inequality techniques, some plentiful criteria are formed to achieve the global Mittag-Leffler synchronization for the delayed DFNNs via devising novel adaptive controller and delay feedback controller. In the end, numerical modeling is given to demonstrate effectiveness of theoretical verdicts.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
Keywords:
discrete-time; fractional-order neural networks; Mittag-Leffler synchronization; time delays; adaptive controlReferences:
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