Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-14 DOI:10.1016/j.cnsns.2025.108830

Arumugam Parivallal , Sangwoon Yun , Yoon Mo Jung

引用次数: 0

Abstract

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.

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pde型T-S模糊多智能体系统的事件触发控制

本文重点分析了pde型模糊多智能体系统（MASs）的控制问题。本文的主要目标是设计一种事件触发控制器，以减少网络负担，同时实现对所分析的pde型模糊质量的遏制控制。最初，通过使用领导者和追随者的动力学，为考虑的MASs制定了包含误差系统。利用合适的Lyapunov-Krasovskii泛函，推导了所设计的容错系统稳定的充分条件。特别地，这些充分条件被导出为线性矩阵不等式。最后通过仿真算例验证了所得理论结果。

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

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

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.