Synchronization of coupled nonlinear oscillators via regional pole placement technique
Synchronization of coupled nonlinear oscillators via regional pole placement technique
复制标题
通过区域极点配置技术同步耦合非线性振荡器
DOI：
10.1109/cdc.2012.6426880
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Atsuhiro Hibi
中科院分区：
文献类型：
--
作者：
Kiyotsugu Takaba; Atsuhiro Hibi
研究了定常有向图上非对称耦合非线性振子的同步问题。基于区域极点配置技术，我们设计耦合权重，通过将加权拉普拉斯算子的特征值放置到复平面上适当的凸区域中来实现同步。我们还将本方法扩展到在规定的稳定时间内同步的问题。数值算例验证了本文方法的适用性。
This paper is concerned with synchronization of nonlinear oscillators asymmetrically coupled over a time-invariant directed graph. Based on a regional pole placement technique, we design coupling weights which achieve the synchronization by placing the eigenvalues of the weighted Laplacian into a proper convex region on the complex plane. We also extend the present method to the problem of synchronizing within a prescribed settling time. Numerical examples are also included to verify the applicability of the present methods.