分数阶忆阻递归神经网络的非周期时滞控制同步。
Synchronization of fractional-order memristive recurrent neural networks via aperiodically intermittent control.
机构信息
College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China.
Engineering Lab of Intelligence Business & Internet of Things, Henan Province, Xinxiang 453007, China.
出版信息
Math Biosci Eng. 2022 Aug 16;19(11):11717-11734. doi: 10.3934/mbe.2022545.
In this paper, synchronization of fractional-order memristive recurrent neural networks via aperiodically intermittent control is investigated. Considering the special properties of memristor neural network, differential inclusion theory is introduced. Similar to the aperiodically strategy of integer order, aperiodically intermittent control strategy of fractional order is proposed. Under the framework of Fillipov's solution, based on the intermittent strategy of fractional order systems and the properties Mittag-Leffler, sufficient criteria of aperiodically intermittent strategy are obtained by constructing appropriate Lyapunov functional. Some comparisons are given to demonstrate the advantages of aperiodically strategy. A simulation example is given to illustrate the derived conclusions.
本文研究了分数阶忆阻递归神经网络的非周期时滞同步问题。针对忆阻神经网络的特殊性质，引入了微分包含理论。类似于整数阶的非周期策略，本文提出了分数阶的非周期间歇控制策略。在 Filippov 解的框架下，基于分数阶系统的间歇策略和 Mittag-Leffler 性质，通过构造适当的李雅普诺夫函数，得到了非周期间歇策略的充分条件。通过比较，验证了非周期策略的优势。最后通过数值仿真验证了所得结论的有效性。
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