Dynamic memory event-triggered adaptive neural prescribed-time bipartite consensus control for high-order MASs with privacy preservation

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI:10.1016/j.cnsns.2025.108693

Fansen Wei , Ning Xu , Xudong Zhao , Lun Li , A.A. Al-Barakati

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引用次数: 0

Abstract

In this paper, an adaptive neural prescribed-time bipartite consensus tracking control scheme is investigated for nonlinear high-order multi-agent systems (HOMASs) with privacy preservation. Under the prescribed-time tracking control framework via the backstepping technique, among agents both cooperative and competitive relationships are considered. Moreover, a novel time-varying function is introduced to deal with the singularity problem in existing prescribed-time control methods. Then, a privacy protection mechanism is constructed by utilizing the mask function to protect the whole HOMASs rather than the initial information of a single agent from being leaked, and the privacy preservation time can be preset according to actual needs. In addition, a dynamic memory event-triggered mechanism that considers historical data and current information for dynamic variables is proposed to reduce communication loss. Based on the practical prescribed-time stability criterion and Lyapunov function approach, it is proven that bipartite consensus error can converge to the neighborhood of the origin in prescribed time. Finally, the simulation result is given to show the feasibility of the proposed control scheme.

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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.