多脉冲离散随机动力系统的有限时间稳定性

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.2025.109317

Junwen Wan, Quanxin Zhu

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引用次数: 0

摘要

研究了具有多脉冲的离散随机动力系统的有限时间稳定性问题。通过引入一种新的广义死区函数，并将其与平均脉冲区间分析方法相结合，系统地研究了非线性离散动力系统的傅里叶变换特性。综合考虑了破坏脉冲、稳定脉冲和混合脉冲对系统稳定性的影响机理。基于对比分析方法，将FTS的结果从确定性脉冲系统推广到随机脉冲系统。最后通过一个数值算例和两个鱼类种群生态系统算例验证了结论的正确性和有效性。

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Finite-time stability of discrete-time stochastic dynamical systems with multiple impulses

This paper focuses on the finite-time stability (FTS) of discrete-time stochastic dynamical systems(DTSDSs) with multiple impulses. By introducing a novel generalized dead-zone function and combining it with the method of average impulse interval analysis, the study systematically investigates the FTS properties of nonlinear discrete-time dynamical systems. It comprehensively considers the influence mechanisms of destructive impulses, stabilizing impulses, and mixed impulses on system stability. Based on the comparative analysis method, the research extends the FTS results from deterministic impulsive systems to stochastic impulsive systems. Finally, one numerical example and two examples of fish population ecosystems are used to validate the correctness and effectiveness of the 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.