General Decay Synchronization of State and Spatial Diffusion Coupled Delayed Memristive Neural Networks With Reaction-diffusion Terms

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

International Journal of Control Automation and Systems Pub Date : 2024-05-29 DOI:10.1007/s12555-023-0122-3

Yanli Huang, Xin Zhao

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Abstract

This paper aims at the study of the general decay synchronization of state and spatial diffusion coupled delayed reaction-diffusion memristive neural networks (CDRDMNNs). At first, we present the general decay synchronization concept for the considered network based on ψ-type stability, then we go deeply into the establishment of general decay synchronization criterion of state CDRDMNNs by excogitating a proper controller and utilizing an opportune Lyapunov functional, thereby gain a sufficient condition for attaining general decay synchronization of state CDRDMNNs. Subsequently, we devote ourselves to investigating the general decay synchronization of spatial diffusion CDRDMNNs and derive an adequate condition for realizing the general decay synchronization of this type of network. Next, some sufficient conditions which ensure robust general decay synchronization of state CDRDMNNs and spatial diffusion CDRDMNNs with uncertain parameters are concluded by utilizing various types of inequality techniques. Ultimately, the efficacy of the acquired general decay synchronization results are certified via numerical simulations of two examples.

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带有反应扩散项的状态和空间扩散耦合延迟记忆神经网络的一般衰减同步化

本文旨在研究状态和空间扩散耦合延迟反应扩散记忆神经网络（CDRDMNN）的一般衰变同步问题。首先，我们基于ψ型稳定性提出了所考虑网络的一般衰减同步概念，然后通过激发适当的控制器和利用适当的 Lyapunov 函数，深入探讨了状态 CDRDMNNs 一般衰减同步准则的建立，从而获得了实现状态 CDRDMNNs 一般衰减同步的充分条件。随后，我们致力于研究空间扩散 CDRDMNN 的一般衰减同步，并推导出实现这类网络一般衰减同步的充分条件。接下来，利用各种不等式技术，总结出一些充分条件，确保状态 CDRDMNN 和具有不确定参数的空间扩散 CDRDMNN 的稳健一般衰变同步。最后，通过对两个实例的数值模拟，证明了所获得的一般衰变同步结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Control Automation and Systems 工程技术-自动化与控制系统

CiteScore

5.80

自引率

21.90%

发文量

343

审稿时长

8.7 months

期刊介绍： International Journal of Control, Automation and Systems is a joint publication of the Institute of Control, Robotics and Systems (ICROS) and the Korean Institute of Electrical Engineers (KIEE). The journal covers three closly-related research areas including control, automation, and systems. The technical areas include Control Theory Control Applications Robotics and Automation Intelligent and Information Systems The Journal addresses research areas focused on control, automation, and systems in electrical, mechanical, aerospace, chemical, and industrial engineering in order to create a strong synergy effect throughout the interdisciplinary research areas.