Synchronization in predefined time of octonion-valued competitive neural networks: Aperiodic complete intermittent control and non-separation method

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-10 DOI:10.1016/j.cnsns.2025.108746

Hongyun Yan , Yuanhua Qiao , Lan Wang , Qiang Li

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引用次数: 0

Abstract

In this paper, a class of competitive neural network models based on octonions is first constructed, and its predefined-time synchronization is explored by applying non-separation method and aperiodic complete intermittent control. Based on classification analysis and measurable selection theory, two novel equalities regarding octonion algebra are developed, which play a key role in studying the synchronization of octonion-valued systems using non-separation method and controllers with sign functions. Additionally, a new predefined-time stability lemma is proposed for systems with aperiodic complete intermittent controllers by utilizing mathematical induction. Then, two type of octonion-valued aperiodic complete intermittent controllers are designed for the first time to induce the predefined-time synchronization of the constructed model. Meanwhile, some new criteria for predefined-time synchronization are deduced. Finally, the effectiveness of the theoretical results is verified by a numerical example.

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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.