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Chaos Synchronization via Linear Matrix Inequalities: A Comparative Analysis

机译:通过线性矩阵不等式进行混沌同步:比较分析

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In this paper, three chaos synchronization approaches using Linear Matrix Inequality (LMI) tools are evaluated and compared. The comparative analysis is supported by four examples of Piecewise affine (PWA) chaotic systems: The Chua's original circuit, the Chua's modified system, the Lur'e like circuit and the five-scroll attractor system. To evaluate the performances of each synchronization approach, we examine first, the practical implementation of the LMIs. We analyze then, by simulation results, the feasibility of each approach for each PWA chaotic system. The elapsed time for solving the predefined LMIs and the influence of their tuning parameters' domain belonging on the feasibility and the performances of each approach are finally the considered comparative criteria.
机译:在本文中,评估和比较了使用线性矩阵不等式(LMI)工具的三种混沌同步方法。比较分析得到了分段仿射(PWA)混沌系统的四个示例的支持:蔡氏原始电路,蔡氏改进系统,Lur'e似电路和五卷吸引子系统。为了评估每种同步方法的性能,我们首先检查LMI的实际实现。然后,我们通过仿真结果分析每种方法对每个PWA混沌系统的可行性。解决预定义的LMI所花费的时间及其调整参数域对每种方法的可行性和性能的影响最终被认为是比较标准。

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