非线性脉冲扰动系统的事件触发脉冲控制及其应用

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-19 DOI:10.1016/j.cnsns.2025.109292

Qi Fang , Xiaodi Li

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引用次数: 0

摘要

本文在抗脉冲扰动事件触发脉冲控制（ETIC）框架下研究非线性脉冲扰动系统的Lyapunov稳定性，其中脉冲控制时刻由所设计的带有间歇检测的事件触发机制（ETM）确定。与现有的事件触发机制不同，提出了一种利用脉冲干扰信息的ETM，该ETM在两个相邻的脉冲干扰之间总是精确地激活一次脉冲控制器，从而能够及时有效地抑制脉冲干扰引起的发散动力学。在此基础上，推导出了在ETIC条件下，受脉冲扰动的非线性系统消除Zeno行为并实现渐近稳定的几个充分条件。然后，将理论结果应用于具有脉冲扰动的混沌系统，并建立了一些线性矩阵不等式来实现混沌系统的同步。最后，通过两个数值仿真验证了所提结果的可行性和优越性。

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Event-triggered impulsive control for nonlinear impulsive disturbed systems with applications

This paper researches the Lyapunov stability of nonlinear impulsive disturbed systems in the framework of anti-impulse disturbance event-triggered impulsive control (ETIC), where impulsive control instants are determined by the designed event-triggered mechanism (ETM) with intermittent detection. Different from the existing event-triggered mechanisms, a novel ETM which utilizes impulsive interference information is proposed by which the impulsive controller is always accurately activated once between two adjacent impulsive disturbances, thus the divergent dynamics caused by impulsive disturbances can be suppressed promptly and effectively. Moreover, some sufficient conditions are derived to eliminate Zeno behavior and to achieve asymptotical stability of nonlinear systems subject to impulsive disturbances under ETIC. Then, the theoretical results are applied to chaotic systems with impulsive disturbances, and some linear matrix inequalities are established to realize the synchronization of chaotic systems. Finally, two numeral simulations are given to demonstrate the feasibility and superiority of the proposed results.

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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.