Synchronization analysis of a fractional-order non-autonomous neural network with time delay

Changyou Wang, Qiang Yang, Yuan Zhuo and Rui Li

Physica A: Statistical Mechanics and its Applications, 2020, vol. 549, issue C

Abstract: This paper studies the problem of synchronization of a class of fractional-order non-autonomous neural network model with time delay. By using the Mittag-Leffler function and the linear feedback control, the analytic expression of synchronous controller is given. Moreover, a sufficient condition is obtained ensuring the synchronization of such delayed fractional-order neural network with Caputo derivatives by developing some new analysis methods and using the theory of delayed differential inequalities as well as constructing a suitable Lyapunov function. Finally, some numerical simulations are given to verify the effectiveness of the proposed results.

Keywords: Time delay; Fractional-order; Neural network; Feedback control; Synchronization (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437120300248

DOI: 10.1016/j.physa.2020.124176

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