具有恒定和延迟状态耦合的导数耦合延迟记忆神经网络的一般衰减反同步化和 H∞ 反同步化

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-24 DOI:10.1016/j.cnsns.2024.108313

Yanli Huang, Aobo Li

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引用次数: 0

摘要

本文探讨了具有恒定和延迟状态耦合的导数耦合延迟记忆神经网络（DCDMNN）的一般衰变反同步（GDAS）和一般衰变 H∞ 反同步（GDHAS）。首先，根据ψ型函数和ψ型稳定性的定义，我们提出了所考虑的 DCDMNN 的 GDAS 和 GDHAS 概念。此外，通过选择正确的 Lyapunov 函数和设计适当的控制器，我们还得出了恒定和延迟状态耦合的 DCDMNNs 达到 GDAS 和 GDHAS 的几个充分条件。此外，还提供了数值模拟实例，以证明所获结论的可行性。

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General decay anti-synchronization and H∞ anti-synchronization of derivative coupled delayed memristive neural networks with constant and delayed state coupling

In this article, we explore the general decay anti-synchronization (GDAS) and general decay $H_{\infty}$ anti-synchronization (GDHAS) of derivative coupled delayed memristive neural networks (DCDMNNs) with constant and delayed state coupling, respectively. To begin with, on account of the definitions of $ψ$ -type function as well as $ψ$ -type stability, we present the GDAS and GDHAS concepts for the considered DCDMNNs. What is more, several sufficient conditions are derived for reaching GDAS and GDHAS of DCDMNNs with constant and delayed state coupling by selecting correct Lyapunov functionals and devising a proper controller. Moreover, numerical simulations examples are provided to demonstrate the feasibility of the obtained conclusions.

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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.