Synchronization of fractional-order memristive recurrent neural networks via aperiodically intermittent control

Author:

Zhang Shuai123,Yang Yongqing4,Sui Xin5,Zhang Yanna123

Affiliation:

1. College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China

2. Engineering Lab of Intelligence Business & Internet of Things, Henan Province, Xinxiang 453007, China

3. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

4. School of Science, Jiangnan University, Wuxi 214122, China

5. School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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