时滞二阶多智能体系统基于多项式不等式的一致性钉住控制方法

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-02 DOI:10.1016/j.cnsns.2024.108582

Yong-Gwon Lee , B. Kaviarasan , Myeong-Jin Park , Oh-Min Kwon

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引用次数: 0

摘要

针对二阶时滞输入动态多智能体系统，提出了一种新的共识钉住控制策略。为了保证寻址系统的有效一致性，利用中间中心性分析和多项式不等式，提出了一种新的钉住控制器。Lyapunov-Krasovskii泛函用于改善在控制输入中出现的最大时滞界。并以理想二阶系统和线性化球梁系统为例验证了所提方法的优越性。

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Polynomial inequality-based consensus pinning control approach to time-delayed second-order multi-agent systems via betweenness centrality

This paper introduces a new consensus pinning control strategy for second-order dynamic multi-agent systems with time-delayed input. A novel pinning controller is developed by utilizing betweenness centrality analysis and polynomial inequality to ensure efficient consensus of the addressed system. The Lyapunov-Krasovskii functionals are used to improve the maximum time-delay bound that occurs in the control input. Moreover, the ideal second-order system and the linearized ball and beam system are given to verify the superiority of the proposed method.

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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.