{"title":"pde型T-S模糊多智能体系统的事件触发控制","authors":"Arumugam Parivallal , Sangwoon Yun , Yoon Mo Jung","doi":"10.1016/j.cnsns.2025.108830","DOIUrl":null,"url":null,"abstract":"<div><div>This work focuses on analyzing the containment control problem for PDE-type fuzzy multi-agent systems (MASs). The primary goal of this paper is to design an event-triggered controller aimed to diminish the network burden while achieving the containment control of the analyzed PDE-type fuzzy MASs. Initially, the containment error system is formulated for the considered MASs by using dynamics of the leaders and followers. By using a suitable Lyapunov–Krasovskii functional, the sufficient conditions for the stabilization of the designed containment error system are derived. In particular, these sufficient conditions are derived as linear matrix inequalities. At last, simulation examples are offered to verify the obtained theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108830"},"PeriodicalIF":3.4000,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme\",\"authors\":\"Arumugam Parivallal , Sangwoon Yun , Yoon Mo Jung\",\"doi\":\"10.1016/j.cnsns.2025.108830\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This work focuses on analyzing the containment control problem for PDE-type fuzzy multi-agent systems (MASs). The primary goal of this paper is to design an event-triggered controller aimed to diminish the network burden while achieving the containment control of the analyzed PDE-type fuzzy MASs. Initially, the containment error system is formulated for the considered MASs by using dynamics of the leaders and followers. By using a suitable Lyapunov–Krasovskii functional, the sufficient conditions for the stabilization of the designed containment error system are derived. In particular, these sufficient conditions are derived as linear matrix inequalities. At last, simulation examples are offered to verify the obtained theoretical results.</div></div>\",\"PeriodicalId\":50658,\"journal\":{\"name\":\"Communications in Nonlinear Science and Numerical Simulation\",\"volume\":\"147 \",\"pages\":\"Article 108830\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2025-04-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Nonlinear Science and Numerical Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1007570425002412\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425002412","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme
This work focuses on analyzing the containment control problem for PDE-type fuzzy multi-agent systems (MASs). The primary goal of this paper is to design an event-triggered controller aimed to diminish the network burden while achieving the containment control of the analyzed PDE-type fuzzy MASs. Initially, the containment error system is formulated for the considered MASs by using dynamics of the leaders and followers. By using a suitable Lyapunov–Krasovskii functional, the sufficient conditions for the stabilization of the designed containment error system are derived. In particular, these sufficient conditions are derived as linear matrix inequalities. At last, simulation examples are offered to verify the obtained theoretical results.
期刊介绍:
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.