基于事件的非周期间歇牵制控制线性复杂网络的同步分析

Synchronization analysis for general linear complex networks via event-based aperiodically intermittent pinning control

本文将事件激发和非周期间歇牵制控制进行有机结合,分析了一般线性复杂网络的全局同步问题.通过设计事件激发条件和受控节点选择规则,使受牵制控制节点集在满足一定条件下实现更新,从而不仅极大提高网络实现同步的效率,而且避免现有研究中受控节点集随机选取导致保守性.构造简单的Lyapunov函数,应用稳定性理论和微分不等式,经过严格的数学理论分析得到了使该网络达到渐近指数同步的充分条件,同时也证明了受牵制节点集不可能在有限时间内进行无限次快速切换.

In this paper,the global synchronization problem of general linear complex networks is analyzed by combining the event-triggered control strategy with the aperiodically intermittent pinning control scheme.By designing an event-triggered condition and the rules for selecting the controlled nodes,the pinning node set can be updated under certain conditions,which not only greatly improves the efficiency of networks synchronization,but also avoids the deficiencies caused by random selection of controlled node set in existing research.Furthermore,a simple Lyapunov function is constructed,and the stability theory and differential inequality are applied,some sufficient conditions for the asymptotically exponential synchronization of the networks are obtained through rigorous mathematical analysis.At the same time,the infinitely fast switching of the pinning node set is also avoided.