Global Synchronization of Reaction-Diffusion Fractional-Order Memristive Neural Networks with Time Delay and Unknown Parameters

被引：11

作者：

Sun, Wenjiao ^{[1
]}

Ren, Guojian ^{[1
]}

Yu, Yongguang ^{[1
]}

Hai, Xudong ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

COMPLEXITY | 2020年 / 2020卷

基金：

北京市自然科学基金;

关键词：

ASYMPTOTIC SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; VARYING DELAYS; STABILITY;

D O I：

10.1155/2020/4145826

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigated the global synchronization of fractional-order memristive neural networks (FMNNs). To deal with the effect of reaction-diffusion and time delay, fractional partial and comparison theorem are introduced. Based on the set value mapping theory and Filippov solution, the activation function is extended to discontinuous case. Adaptive controllers with a compensator are designed owing to the existence of unknown parameters, with the help of Gronwall-Bellman inequality. Numerical simulation examples demonstrate the availability of the theoretical results.

引用

页数：14

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