Synchronization of coupled nonlinear systems with time delay
Synchronization of coupled nonlinear systems with time delay
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具有时滞的耦合非线性系统的同步
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
H. Nijmeijer
中科院分区：
文献类型：
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作者：
Takashi Yamamoto;T. Oguchi;H. Nijmeijer
本文考虑两个具有双向耦合时滞的恒定非线性系统的同步问题。首先，我们利用小增益定理证明了耦合严格半被动系统的轨迹收敛到有界区域。其次，利用这一结果，我们利用Lyapunov-Krasovskii定理得到了系统同步的一个条件。最后，我们用一个数值例子说明了导出条件的有效性。
In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled with time-delay. Firstly, we show using the small-gain theorem that trajectories of coupled strictly semi-passive systems converge to a bounded region. Next, using this result, we derive a condition for synchronization of the systems by the Lyapunov-Krasovskii theorem. Finally we illustrate the effectiveness of the derived conditions with a numerical example.