New Synchronization Stability of Complex Networks With an Interval Time-Varying Coupling Delay

New Synchronization Stability of Complex Networks With an Interval Time-Varying Coupling Delay
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时变耦合时滞复杂网络新的同步稳定性

DOI:
10.1109/tcsii.2009.2019329
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发表时间:
2009-06
影响因子:
4.4
通讯作者:
Zheng, Wei Xing
Zheng, Wei Xing
中科院分区:
工程技术2区
文献类型:
--
作者:
Fei, Zhongyang;Gao, Huijun;Zheng, Wei Xing

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本文研究了具有时变耦合时滞的复杂动态网络的同步稳定性问题。在这个简短的延迟被认为是在一个区间内的下限和上限是已知的。通过将区间时变时滞分为常数部分和时变部分,利用时滞分割方法,构造了一个新的Lyapunov-Krasovskii泛函.在此基础上,以线性矩阵不等式的形式得到了一个新的时滞范围相关的判据。数值算例表明了所提结果的有效性。
In this brief, the problem of synchronization stability analysis for complex dynamical networks with a time-varying coupling delay is studied. The delay considered in this brief is assumed to vary over an interval where the lower and upper bounds are known. By dividing the interval time-varying delay into a constant and a time-varying part and using a delay-partitioning approach, a new Lyapunov-Krasovskii functional is constructed. Based on this, a new delay-range-dependent criterion is obtained in terms of linear matrix inequalities. A numerical example is provided to show the effectiveness of the proposed results.
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