基于半线性双曲 PDE 的多权重时延复杂网络同步自适应控制

IF 3.9 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

International Journal of Adaptive Control and Signal Processing Pub Date : 2024-03-20 DOI:10.1002/acs.3780

Chengyan Yang, Jianlong Qiu

{"title":"基于半线性双曲 PDE 的多权重时延复杂网络同步自适应控制","authors":"Chengyan Yang, Jianlong Qiu","doi":"10.1002/acs.3780","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>This paper studies the adaptive synchronization of complex spatio-temporal networks modeled by semi-linear hyperbolic partial differential equations (CSTNSLHPDEs) as well as considering time-invariant and time-varying delays in a one-dimensional space. Firstly, a distributed adaptive controller is proposed, where different nodes are with different adaptive gains. Secondly, four cases, CSTNSLHPDEs with time-invariant delays and one single weight, with time-invariant delays and multi-weights, with time-varying delays and one single weight, and with time-varying delays and multi-weights, are successively analyzed, and synchronization conditions of these four cases are obtained by using the proposed distributed adaptive controller. In the end, examples illustrate the effectiveness of the proposed distributed adaptive controller.</p>\n </div>","PeriodicalId":50347,"journal":{"name":"International Journal of Adaptive Control and Signal Processing","volume":null,"pages":null},"PeriodicalIF":3.9000,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Adaptive control for synchronization of time-delayed complex networks with multi-weights based on semi-linear hyperbolic PDEs\",\"authors\":\"Chengyan Yang, Jianlong Qiu\",\"doi\":\"10.1002/acs.3780\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>This paper studies the adaptive synchronization of complex spatio-temporal networks modeled by semi-linear hyperbolic partial differential equations (CSTNSLHPDEs) as well as considering time-invariant and time-varying delays in a one-dimensional space. Firstly, a distributed adaptive controller is proposed, where different nodes are with different adaptive gains. Secondly, four cases, CSTNSLHPDEs with time-invariant delays and one single weight, with time-invariant delays and multi-weights, with time-varying delays and one single weight, and with time-varying delays and multi-weights, are successively analyzed, and synchronization conditions of these four cases are obtained by using the proposed distributed adaptive controller. In the end, examples illustrate the effectiveness of the proposed distributed adaptive controller.</p>\\n </div>\",\"PeriodicalId\":50347,\"journal\":{\"name\":\"International Journal of Adaptive Control and Signal Processing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.9000,\"publicationDate\":\"2024-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Adaptive Control and Signal Processing\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/acs.3780\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Adaptive Control and Signal Processing","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/acs.3780","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了以半线性双曲偏微分方程（CSTNSLHPDE）为模型的复杂时空网络的自适应同步问题，并考虑了一维空间中的时变和时变延迟。首先，提出了一种分布式自适应控制器，不同节点具有不同的自适应增益。其次，依次分析了具有时变延迟和单权重、具有时变延迟和多权重、具有时变延迟和单权重以及具有时变延迟和多权重的 CSTNSLHPDE 四种情况，并利用所提出的分布式自适应控制器获得了这四种情况的同步条件。最后，举例说明了所提出的分布式自适应控制器的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Adaptive control for synchronization of time-delayed complex networks with multi-weights based on semi-linear hyperbolic PDEs

This paper studies the adaptive synchronization of complex spatio-temporal networks modeled by semi-linear hyperbolic partial differential equations (CSTNSLHPDEs) as well as considering time-invariant and time-varying delays in a one-dimensional space. Firstly, a distributed adaptive controller is proposed, where different nodes are with different adaptive gains. Secondly, four cases, CSTNSLHPDEs with time-invariant delays and one single weight, with time-invariant delays and multi-weights, with time-varying delays and one single weight, and with time-varying delays and multi-weights, are successively analyzed, and synchronization conditions of these four cases are obtained by using the proposed distributed adaptive controller. In the end, examples illustrate the effectiveness of the proposed distributed adaptive controller.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Journal of Adaptive Control and Signal Processing 工程技术-工程：电子与电气

CiteScore

5.30

自引率

16.10%

发文量

163

审稿时长

5 months

期刊介绍： The International Journal of Adaptive Control and Signal Processing is concerned with the design, synthesis and application of estimators or controllers where adaptive features are needed to cope with uncertainties.Papers on signal processing should also have some relevance to adaptive systems. The journal focus is on model based control design approaches rather than heuristic or rule based control design methods. All papers will be expected to include significant novel material. Both the theory and application of adaptive systems and system identification are areas of interest. Papers on applications can include problems in the implementation of algorithms for real time signal processing and control. The stability, convergence, robustness and numerical aspects of adaptive algorithms are also suitable topics. The related subjects of controller tuning, filtering, networks and switching theory are also of interest. Principal areas to be addressed include: Auto-Tuning, Self-Tuning and Model Reference Adaptive Controllers Nonlinear, Robust and Intelligent Adaptive Controllers Linear and Nonlinear Multivariable System Identification and Estimation Identification of Linear Parameter Varying, Distributed and Hybrid Systems Multiple Model Adaptive Control Adaptive Signal processing Theory and Algorithms Adaptation in Multi-Agent Systems Condition Monitoring Systems Fault Detection and Isolation Methods Fault Detection and Isolation Methods Fault-Tolerant Control (system supervision and diagnosis) Learning Systems and Adaptive Modelling Real Time Algorithms for Adaptive Signal Processing and Control Adaptive Signal Processing and Control Applications Adaptive Cloud Architectures and Networking Adaptive Mechanisms for Internet of Things Adaptive Sliding Mode Control.