参数完全未知的两个物理系统的自适应同步控制

Ying-xiang Chang, Xianfeng Li, Y. Chu, Xiu-ping Han
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引用次数: 4

摘要

本文通过数值模拟进一步研究了两个物理系统的混沌和混沌同步性。采用自适应同步方法对参数完全未知、初始条件明显不同的Rikitake和多孔介质系统进行同步。从李雅普诺夫稳定性理论出发,得到了具有自适应控制幅值的全局渐近同步的充分条件。数值仿真结果表明,该方法对具有不同结构和初始条件的两个系统具有同步的有效性和可行性,并具有较其他方法更简洁的优点,可推广到其他应用领域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Synchronization of Two Physical Systems with Fully Unknown Parameters by Adaptive Control
In this paper, the chaos and chaos synchronism of two physical systems are studied further by numerical simulation. The adaptive synchronism method is used to synchronize Rikitake and Porous Media systems with fully unknown parameters and two significantly different initial conditions. The sufficient condition of global asymptotic synchronization with adaptive control amplitudes is attained from the theory of Lyapunov stability. Numerical simulations show the effectiveness and feasibility of the scheme in synchronizing two systems with different structure and initial conditions, and the proposed methods have some more advantageous and succinct excellence than others, can be extended to other applications.
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