脉冲切换随机非线性系统的随机有限时间稳定性新准则

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-12-22 DOI:10.1016/j.cnsns.2024.108545

Haiqi Peng, Quanxin Zhu

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引用次数: 0

摘要

本文利用随机过程理论、多重Lyapunov函数和解析技术，导出了脉冲切换随机非线性系统的一些新的随机有限时间稳定性判据。此外，还给出了随机沉降时间的估计。在不稳定脉冲和稳定脉冲的作用下，我们分别考虑了子系统完全稳定、子系统可能完全不稳定、部分子系统稳定而部分子系统不稳定的情况。结论揭示了初始值、脉冲开关强度因子、脉冲开关时间与海温之间的关系。最后，给出了两个数值算例来说明我们的结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New criteria of stochastic finite time stability for impulsive switched stochastic nonlinear systems

In this paper, some novel stochastic finite time stability (SFTS) criteria are derived for impulsive switched stochastic nonlinear systems (ISSNS) by using stochastic process theory, multiple Lyapunov functions, analytical techniques. Moreover, the estimations of stochastic settling time (SST) are also provided. Under the influence of destabilizing and stabilizing impulses, we consider situations where the subsystems are fully stable, the subsystems may be fully unstable, and some subsystems are stable while others are unstable, respectively. The conclusion reveals the relationship among the initial value, impulsive switching strength factors, impulsive switching time and SST. Finally, two numerical examples are provided to illustrate our conclusion.

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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.