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具有最优性能的一个混沌同步方案

Chaos Synchronization Scheme with Optimality

中文摘要英文摘要

本文研究了混沌同步的最优性能,在驱动-响应方式下,将一类混沌系统的响应系统设计为某个非线性观察器,并导出了纯量传输信号和线性误差系统,将线性二次优化控制理论应用于误差动态系统,并且为了保证在同步过程中以最少控制代价和最小误差,提出了一个优化同步方案,另外,我们也给出了一个反例并指出了文献[1]的一个错误结论。

he optimality of chaos synchronization is investigated. In the drive-response regime, the response systems for a class of chaotic systems are designed as certain nonlinear observers that lead to scalar transmission signals and linear error systems. Based on the linear quadratic optimal control theory for continuous dynamical systems, an optimal synchronization scheme is established to maintain the least error with less control costs during the synchronizing process. In addition, a claim reported in Ref. [11] is shown to be invalid by two counterexamples.

李传东、廖晓峰

物理学自动化基础理论

同步,混沌系统,线性二次优化控制

Synchronizationchaotic systems linear quadratic optimal control.

李传东,廖晓峰.具有最优性能的一个混沌同步方案[EB/OL].(2005-12-07)[2025-08-22].http://www.paper.edu.cn/releasepaper/content/200512-132.点此复制

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