具有时滞的分数阶脉冲系统的有限时间收缩稳定性

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-19 DOI:10.1016/j.cnsns.2025.109050

P. Gokul, Salem Ben Said

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引用次数: 0

摘要

本文对具有状态和时间双重时滞的分数阶脉冲系统的有限时间稳定性（FTS）和有限时间收缩稳定性（FTCS）给出了一个新的观点。通过将脉冲控制理论与Lyapunov函数（LF）方法相结合，建立了稳定和不稳定脉冲的综合稳定性判据。我们进一步将这些结果应用于两种类型的分数阶神经网络（fonn）：分数阶延迟神经网络（fodnn）和分数阶Cohen-Grossberg神经网络（focgnn），它们都包含对偶延迟和脉冲现象。数值模拟严格验证了我们的理论发现，证明了所提出方法的有效性和实际相关性。

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Finite-time contractive stability for fractional-order impulsive systems with time delays

This article presents a new perspective on finite-time stability (FTS) and finite-time contractive stability (FTCS) for fractional-order impulsive system (FOIS) with dual delays that depend on both state and time. By integrating impulsive control theory with the Lyapunov function (LF) method, we establish comprehensive stability criteria for stabilizing and destabilizing impulses. We further apply these results to two types of fractional-order neural networks (FONNs): fractional-order delayed neural networks (FODNNs) and fractional-order Cohen–Grossberg neural networks (FOCGNNs), both incorporating dual delays and impulse phenomena. Numerical simulations rigorously validate our theoretical findings, demonstrating the effectiveness and practical relevance of the proposed approach.

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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.