具有随机节点结构的复杂网络同步研究

摘要

针对具有随机节点结构的复杂网络，研究其同步问题。基于Lyapunov稳定性理论和线性矩阵不等式技术给出了复杂网络同步稳定的充分性条件，该充分性条件不仅与复杂网络的状态时延有关，还与节点结构的概率分布有关。数值仿真表明本文方法的有效性。%This paper deals with the synchronization of complex networks with random nodes. Sufficient conditions for the synchronization of complex networks are derived by using the Lyapunov functional method and linear matrix inequality technique, and the obtained criteria depend on not only the size of the delay, but also the probability distribution of random nodes. A simulation example is exploited in order to illustrate the effectiveness of the proposed method.