A novel adaptive control design for exponential stabilization of memristor-based CVNNs with time-varying delays using matrix measures

IF 1.6 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
N. Jayanthi, R. Santhakumari, R. Grienggrai Rajchakit, M. Praneesh
{"title":"A novel adaptive control design for exponential stabilization of memristor-based CVNNs with time-varying delays using matrix measures","authors":"N. Jayanthi,&nbsp;R. Santhakumari,&nbsp;R. Grienggrai Rajchakit,&nbsp;M. Praneesh","doi":"10.1002/jnm.3231","DOIUrl":null,"url":null,"abstract":"<p>The present study introduces a new adaptive control framework that aims to attain exponential stability in complex-valued neural network systems utilizing memristors while accounting for time-varying delays. The control issues in systems of this nature are mostly attributed to the presence of memristors and time-varying latency. To overcome these challenges and achieve stabilization outcomes, a methodology is employed that integrates adaptive control approaches inside a matrix-based framework. This study employs Lyapunov's stability theory to establish exponential stabilization conditions and conduct convergence analysis. The efficacy of the suggested control algorithm in achieving exponential stabilization and robustness under varied delays is demonstrated through numerical simulations.</p>","PeriodicalId":50300,"journal":{"name":"International Journal of Numerical Modelling-Electronic Networks Devices and Fields","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Numerical Modelling-Electronic Networks Devices and Fields","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/jnm.3231","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0

Abstract

The present study introduces a new adaptive control framework that aims to attain exponential stability in complex-valued neural network systems utilizing memristors while accounting for time-varying delays. The control issues in systems of this nature are mostly attributed to the presence of memristors and time-varying latency. To overcome these challenges and achieve stabilization outcomes, a methodology is employed that integrates adaptive control approaches inside a matrix-based framework. This study employs Lyapunov's stability theory to establish exponential stabilization conditions and conduct convergence analysis. The efficacy of the suggested control algorithm in achieving exponential stabilization and robustness under varied delays is demonstrated through numerical simulations.

利用矩阵措施为具有时变延迟的基于忆阻器的 CVNNs 指数稳定设计新的自适应控制方法
本研究介绍了一种新的自适应控制框架,旨在利用忆阻器实现复值神经网络系统的指数稳定性,同时考虑时变延迟。这种性质系统的控制问题主要归因于忆阻器的存在和时变延迟。为了克服这些挑战并取得稳定结果,我们采用了一种方法,在基于矩阵的框架内集成了自适应控制方法。本研究采用李亚普诺夫稳定性理论,建立指数稳定条件并进行收敛分析。通过数值模拟,证明了所建议的控制算法在不同延迟条件下实现指数稳定和鲁棒性的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
4.60
自引率
6.20%
发文量
101
审稿时长
>12 weeks
期刊介绍: Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信