Adaptive synchronization of uncertain dynamical networks with delayed coupling
Adaptive synchronization of uncertain dynamical networks with delayed coupling
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DOI：
10.1007/s11071-007-9299-x
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发表时间：
2008-07-01
影响因子：
5.6
通讯作者：
Cao, Jinde
中科院分区：
文献类型：
--
作者：
Lu, Jianquan;Cao, Jinde
我们提出了一种用于具有时滞耦合的不确定复杂动态网络同步的简单方案。基于泛函微分方程的李雅普诺夫稳定性理论，通过将自适应方法和具有更新反馈强度的线性反馈相结合，可以设计特定的控制器，以确保具有耦合时滞的不确定动态网络的状态全局渐近同步。不同的更新增益\(\eta(i)\)将导致不同的同步速率，其选择取决于具体的系统和网络模型。该策略可应用于任何复杂动态网络（规则的、小世界的、无标度的或随机的）。分别给出了具有最近邻耦合和无标度结构的数值例子，以证明我们所提出方案的有效性。
We propose a simple scheme for the synchronization of an uncertain complex dynamical network with delayed coupling. Based on the Lyapunov stability theory of functional differential equations, certain controllers can be designed for ensuring the states of uncertain dynamical network with coupling delays to globally asymptotically synchronize by combining the adaptive method and linear feedback with the updated feedback strength. Different update gains eta(i) will lead to different rates toward synchrony, the choice of which depends on the concrete systems and network models. This strategy can be applied to any complex dynamical network (regular, small-world, scale-free or random). Numerical examples with respectively nearest-neighbor coupling and scale-free structure are given to demonstrate the effectiveness of our presented scheme.