在这份报纸,有不同节点的复杂推迟的网络的控制被建议。第一,有时间延期的联合网络的稳定被调查。由构造 Lyapunov 功能,为网络的一个线性反馈控制器设计过程被变换成解决一套线性矩阵不平等的问题。然后,结果与两个都推迟的动态节点被扩大到网络并且推迟了 couplings。复杂网络的稳定被每个解开的节点的动力学决定,这被显示出,联合网络的矩阵和反馈获得矩阵。二个例子被模仿。在第一个例子,有由张在 2009 建议的 Lorenz 系统和系统组成的 10 个节点的一个网络被给。没有控制,网络状态是分叉的,这被发现,并且在设计线性反馈控制器下面会聚。在第二个例子,有由推迟的陈系统和推迟的 Lorenz 系统组成的 100 个节点的一个更大的网络被给。建议方法为大规模网络也是有效的。
In this paper, the control of complex delayed networks with different nodes is proposed. Firstly, the stabilization of coupled networks with time delay is investigated. By constructing a Lyapunov function, a linear feedback controller design procedure for the networks is converted to the problem of solving a set of linear matrix inequalities. Then the results are extended to networks with both delayed dynamical nodes and delayed couplings. It is shown that the stabilization of complex networks is determined by the dynamics of each uncoupled node, coupling matrix and feedback gain matrix of networks. Two examples are simulated. In the first example, a network with 10 nodes consisting of Lorenz systems and systems proposed by Zhang in 2009 is given. It is found that the network states are divergent without control, and convergent under designed linear feedback controllers. In the second example, a larger network with 100 nodes consisting of delayed Chen systems and delayed Lorenz systems is given. The proposed method is also effective for large scale networks.