Finite-time synchronization for multi-weighted complex networks with time-varying delay couplings under hybrid delayed impulse effects via dynamic event-triggered control

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.2024.108570

Yaqi Wang, Huaiqin Wu, Jinde Cao

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Abstract

This paper is concerned with the finite-time synchronization (FNS) for a class of multi-weighted complex networks (MCNs) with time-varying delay couplings under hybrid delayed impulse effects. Firstly, a new finite-time stability (FTS) criterion is established for nonlinear time-varying delayed systems under hybrid delayed impulse effects, and the settling-time (ST), which is relevant to impulse gain and initial value of system, is estimated accurately. Secondly, a dynamical event-triggered controller is designed by introducing a novel internal dynamical variable. Under the designed event-triggering mechanism (ETM), by applying Lyapunov functional method, inequality analysis technique and the proposed the FTS criterion, the synchronization conditions are addressed in the form of linear matrix inequalities (LMIs). In addition, the exclusion of Zeno phenomenon is verified. At last, two practical simulation examples are provided to substantiate the reliability of the proposed control scheme and the validity of the obtained theoretical results.

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基于动态事件触发控制的时变时滞耦合多加权复杂网络在混合延迟脉冲效应下的有限时间同步

研究了一类具有时变延迟耦合的多加权复杂网络在混合延迟脉冲作用下的有限时间同步问题。首先，针对混合延迟脉冲效应下的非线性时变时滞系统，建立了一种新的有限时间稳定性判据，准确估计了与脉冲增益和系统初值相关的稳定时间；其次，通过引入新的内部动态变量，设计了动态事件触发控制器。在设计的事件触发机制（ETM）下，应用Lyapunov泛函方法、不等式分析技术和提出的FTS准则，以线性矩阵不等式（lmi）的形式处理同步条件。此外，还验证了芝诺现象的排除性。最后，给出了两个实际的仿真实例，验证了所提控制方案的可靠性和理论结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.