Global Mittag-Leffler synchronization of discrete-time fractional-order neural networks with time delays

作者：

Highlights：

• By virtue of integration by parts, Young inequality, and some properties about fractional-order difference, an original power law inequality for fractional-order difference is established.

• A neoteric adaptive controller is firstly applied to DFNNs.

• Delayed feedback controller is designed to eliminate the impact of time delays on synchronization.

• Other than the traditional Lyapunov function with 2-norm form, a more general Lyapunov function based on j-norm is constructed, which expands Lyapunov function with 2-norm considered in [29], [33] and [35].

摘要

•By virtue of integration by parts, Young inequality, and some properties about fractional-order difference, an original power law inequality for fractional-order difference is established.•A neoteric adaptive controller is firstly applied to DFNNs.•Delayed feedback controller is designed to eliminate the impact of time delays on synchronization.•Other than the traditional Lyapunov function with 2-norm form, a more general Lyapunov function based on j-norm is constructed, which expands Lyapunov function with 2-norm considered in [29], [33] and [35].

论文关键词：Discrete-time,Fractional-order neural networks,Mittag-Leffler synchronization,Time delays,Adaptive control

论文评审过程：Received 20 March 2022, Revised 11 July 2022, Accepted 15 July 2022, Available online 25 July 2022, Version of Record 25 July 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127417