Hopfield Neural Networks With Delays Driven by Colored Noise

被引：5

作者：

Chen, Zhang ^{[1
]}

Yang, Dandan ^{[1
]}

Zhong, Shitao ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2023年 / 34卷 / 08期

关键词：

Colored noise; Delays; Biological neural networks; Neural networks; White noise; Synchronization; Stochastic processes; Globally exponential stability; nonlinear colored noise; stationary solution; synchronization; time-varying delay; EXPONENTIAL STABILITY; RANDOM ATTRACTORS; SYNCHRONIZATION; EQUATIONS; SYSTEM;

D O I：

10.1109/TNNLS.2021.3117040

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this article, Hopfield neural networks system with time-varying delays driven by nonlinear colored noise is introduced. The existence and globally exponential stability of stationary solutions are investigated for such random delay neural networks systems, which may be regarded as a generalization for the case of the constant equilibrium point in the literature. Moreover, the synchronization behavior of linearly coupled delay Hopfield neural networks driven by nonlinear colored noise is investigated at the level of the random attractor. Finally, illustrative examples and numerical simulations are provided to show the effectiveness of the obtained results.

引用

页码：4308 / 4320

页数：13

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