Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays | Zendy

Changyou Wang | Zendy; Qiang Yang | Zendy; Tao Jiang | Zendy; Nan Li | Zendy

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Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays

Author(s) -

Changyou Wang,

Qiang Yang,

Tao Jiang,

Nan Li

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5573619

Subject(s) - synchronization (alternating current) , mathematics , controller (irrigation) , control theory (sociology) , artificial neural network , class (philosophy) , lyapunov function , function (biology) , control (management) , nonlinear system , topology (electrical circuits) , computer science , artificial intelligence , physics , combinatorics , quantum mechanics , evolutionary biology , agronomy , biology

In this paper, we study the synchronization of a new fractional-order neural network with multiple delays. Based on the control theory of linear systems with multiple delays, we get the controller to analyse the synchronization of the system. In addition, a suitable Lyapunov function is constructed by using the theory of delay differential inequality, and some criteria ensuring the synchronization of delay fractional neural networks with Caputo derivatives are obtained. Finally, the accuracy of the method is verified by a numerical example.

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