Asynchronously intermittent sampled-data decentralized control for stability of fuzzy coupled systems with jump diffusions

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-07-24 DOI:10.1016/j.fss.2025.109540

Yan Liu , Ning Li , Hui Zhou

{"title":"Asynchronously intermittent sampled-data decentralized control for stability of fuzzy coupled systems with jump diffusions","authors":"Yan Liu , Ning Li , Hui Zhou","doi":"10.1016/j.fss.2025.109540","DOIUrl":null,"url":null,"abstract":"<div><div>This paper proposes a novel asynchronous control technique, namely asynchronously intermittent sampled-data decentralized control (AISDC), to address the stability issue of fuzzy stochastic coupled systems (FSCSs) with regime-switching jump diffusions (RSJD). Unlike the traditional intermittent control strategy, AISDC incorporates sampled-data control to regulate the control intensity after selecting discrete sampling node observations in the controller's work interval, which reduces the frequency of updating the controller's output control intensity and subsequently saves energy consumption. Moreover, compared to synchronous control, AISDC is more flexible as an asynchronous control that eliminates the strict time synchronization requirement between systems and thus can better adapt to the network heterogeneity. In addition, fuzzy factors and RSJD are considered in stochastic coupled systems, which enhance the generality of systems. Then, based on graph theory and Lyapunov method, theoretical results are presented to ensure the stability of FSCSs with RSJD. In particular, we successfully utilize AISDC to study the stability problem of fuzzy stochastic coupled oscillators and some sufficient conditions are given. Finally, two numerical examples are provided to demonstrate the effectiveness and practicability of the main results.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109540"},"PeriodicalIF":2.7000,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fuzzy Sets and Systems","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165011425002799","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}

引用次数: 0

Abstract

This paper proposes a novel asynchronous control technique, namely asynchronously intermittent sampled-data decentralized control (AISDC), to address the stability issue of fuzzy stochastic coupled systems (FSCSs) with regime-switching jump diffusions (RSJD). Unlike the traditional intermittent control strategy, AISDC incorporates sampled-data control to regulate the control intensity after selecting discrete sampling node observations in the controller's work interval, which reduces the frequency of updating the controller's output control intensity and subsequently saves energy consumption. Moreover, compared to synchronous control, AISDC is more flexible as an asynchronous control that eliminates the strict time synchronization requirement between systems and thus can better adapt to the network heterogeneity. In addition, fuzzy factors and RSJD are considered in stochastic coupled systems, which enhance the generality of systems. Then, based on graph theory and Lyapunov method, theoretical results are presented to ensure the stability of FSCSs with RSJD. In particular, we successfully utilize AISDC to study the stability problem of fuzzy stochastic coupled oscillators and some sufficient conditions are given. Finally, two numerical examples are provided to demonstrate the effectiveness and practicability of the main results.

查看原文本刊更多论文

跃变扩散模糊耦合系统稳定性的异步间歇采样数据分散控制

针对具有状态切换跳跃扩散（RSJD）的模糊随机耦合系统（fscs）的稳定性问题，提出了一种新的异步控制技术——异步间歇采样数据分散控制（AISDC）。与传统的间歇控制策略不同，AISDC采用采样数据控制，在控制器工作区间内选取离散采样节点观测值后调节控制强度，减少了控制器输出控制强度的更新频率，从而节省了能耗。此外，相对于同步控制，AISDC作为一种异步控制具有更大的灵活性，消除了系统间严格的时间同步要求，能够更好地适应网络的异构性。此外，在随机耦合系统中考虑了模糊因素和RSJD，增强了系统的通用性。然后，基于图论和Lyapunov方法，给出了保证具有RSJD的fscs稳定性的理论结果。特别地，我们成功地利用AISDC研究了模糊随机耦合振荡器的稳定性问题，并给出了一些充分条件。最后给出了两个数值算例，验证了主要结果的有效性和实用性。

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

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.