A Synchronization Condition for Coupled Nonlinear Systems with Time-delay -A Circle Criterion Approach
A Synchronization Condition for Coupled Nonlinear Systems with Time-delay -A Circle Criterion Approach
复制标题
时滞耦合非线性系统的同步条件-圆准则法
DOI：
10.3182/20090622-3-uk-3004.00049
复制
发表时间：
2009
期刊：
影响因子：
2.9
通讯作者：
N. K. Tanaka
中科院分区：
文献类型：
--
作者：
T. Oguchi;H. Nijmeijer;N. K. Tanaka
研究了耦合时滞混沌系统的同步问题。我们假设，可以重写的反馈连接的线性延迟系统的多个输入和输出和非线性元件是分散的，并满足扇形条件的误差动态。然后，我们推导出一个同步条件的耦合系统的延迟应用多变量循环准则。不同于传统的同步标准，派生的标准是基于频域条件，可以避免使用的Lyapunov-Krasovskii方法。因此，该条件不包含由Lyapunov-Krasovskii方法引起的保守性。通过时滞耦合Chua系统的算例说明了该判据的有效性。
This paper considers the synchronization problem for coupled chaotic systems with time-delay. We assume that the error dynamics can be rewritten by a feedback connection of a linear delay system with multiple inputs and outputs and nonlinear elements which are decentralized and satisfy a sector condition. Then, we derive a synchronization condition for coupled systems with delay by applying a multivariable circle criterion. Unlike the conventional synchronization criteria, the derived criterion is based on a frequency-domain condition and can avoid the use of the Lyapunov-Krasovskii approach. As a result, the condition does not contain the conservativeness caused by the Lyapunov-Krasovskii approach. The effectiveness of the proposed criterion is shown by examples of coupled Chua systems with delay coupling.