Zhang S, Yang Y, Sui X, Zhang Y. Synchronization of fractional-order memristive recurrent neural networks via aperiodically intermittent control.
MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2022;
19:11717-11734. [PMID:
36124610 DOI:
10.3934/mbe.2022545]
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Abstract
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.
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