Quasi-synchronization for fractional-order delayed dynamical networks with heterogeneous nodes
Quasi-synchronization for fractional-order delayed dynamical networks with heterogeneous nodes
复制标题
DOI：
10.1016/j.amc.2018.07.041
复制
发表时间：
2018-12
期刊：
影响因子：
--
通讯作者：
Fei Wang;Yongqing Yang
中科院分区：
文献类型：
--
作者：
Fei Wang;Yongqing Yang
研究了具有时滞的异构分数阶动态网络的拟同步问题。基于分数阶微分方程的比较定理，建立了一个新的分数阶泛函微分不等式。根据该不等式，利用李雅普诺夫方法得到了系统的拟同步条件，并给出了误差界估计。然后，钉扎控制策略也被认为是通过矩阵分析。此外，在算法中提供了关于需要选择多少个节点的具体钉扎方案。最后，通过两个算例验证了理论结果的正确性.
This paper investigates the quasi-synchronization problem in heterogeneous fractional order dynamic networks with time-delay. Based on comparison theorem for the fractional order differential equation, a new fractional order functional differential inequality is built at first. According to the inequality, some quasi-synchronization conditions are derived via Lyapunov method, and the error bound is estimated. Then, the pinning control strategy is also considered via matrix analysis. Furthermore, the specific pinning schemes about how many nodes are needed to be selected are provided in an algorithm. Finally, two examples are given to verify the validity of our theoretical results.