时滞多智能体系统的一致性和平均准一致性的延迟反馈控制

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-20 DOI:10.1016/j.cnsns.2025.109321

Qiang Fu, Xiaohuan Wang

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引用次数: 0

摘要

研究了时滞多智能体系统的一致性和平均拟一致性的延迟反馈控制问题。本文介绍了一种新的延迟多智能体系统，该系统考虑了主动信息交换、外部干扰和延迟。针对多智能体系统的一致性，设计了一种用于延迟反馈控制的协同信息交换网络。构造了两个特殊的Lyapunov函数，给出了反馈控制有效延迟时间的充分条件和上界，以保证延迟多智能体系统的一致性和平均拟一致性。最后，通过实例对理论结果进行了说明。

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Delayed feedback control for the consensus and average quasi-consensus of delayed multi-agent systems

The delayed feedback control for the consensus and the average quasi-consensus of delayed multi-agent systems is studied. This paper introduces a new delayed multi-agent systems, where aggressive information exchange, external disturbances and delay are considered. For the consensus of the multi-agent systems, we design a cooperative information exchange network for the delayed feedback control. Two special Lyapunov functions are constructed, some sufficient conditions and the upper bound for the effective delay time of the feedback control are given to ensure the consensus and the average quasi-consensus of delayed multi-agent systems. Finally, examples are laid out to illustrate the theoretical results.

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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.