复杂网络同步系统牵制控制器设计

Synchronization of Complex Network Systems with Pinning Control

针对复杂网络系统,研究此类系统的同步控制问题.利用牵制原理,牵制系统部分节点,运用Lyapunov稳定性理论并结合矩阵不等式处理方法,得出了复杂网络系统同步牵制控制器存在的充分条件.同时得出了牵制节点数和牵制控制增益大小之间的关系图.最后给出两个数值仿真说明其有效性.

The synchronization control problem of some general complex dynamical networks is investigated. The pinning control theory is used to make the system achieve synchronization. Bases on Lyapunov stability theory and combined with matrix inequality, a sufficient condition for the existence of the complex network systems is obtained. At the same time, the relationship between the number of pinning nodes and the control gain is established. Finally, a numerical example is given to demonstrate the feasibility of proposed method.