New criteria for synchronization stability of continuous complex dynamical networks with non-delayed and delayed coupling
New criteria for synchronization stability of continuous complex dynamical networks with non-delayed and delayed coupling
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DOI：
10.1016/j.cnsns.2010.05.001
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发表时间：
2011-02
影响因子：
3.9
通讯作者：
Hongjie Li
中科院分区：
文献类型：
--
作者：
Hongjie Li
基于分段分析方法，研究了具有非时滞和时滞耦合的一般复杂动态网络的同步稳定性问题，首先将时滞的变化区间划分为若干子区间，通过检查每个子区间内Lyapunov泛函导数的变化，以线性矩阵不等式的形式导出了几个新的与时滞相关的同步稳定性条件，这些条件易于用LMI工具箱进行验证.数值算例表明，当划分的子区间数增加时，相应的判据可以给出更少的保守性结果。
The synchronization stability problem of general complex dynamical networks with non-delayed and delayed coupling is investigated based on a piecewise analysis method, the variation interval of the time delay is firstly divided into several subintervals, by checking the variation of derivative of a Lyapunov functional in every subinterval, several new delay-dependent synchronization stability conditions are derived in the form of linear matrix inequalities, which are easy to be verified by the LMI toolbox. Some numerical examples show that, when the number of the divided subintervals increases, the corresponding criteria can provide much less conservative results.