This paper investigates the cluster synchronization (CS) for a class of complex dynamical networks (CDNs) with parameters mismatch to the selected cluster pattern. An impulsive control strategy with multiple control gains is proposed. Particularly, the possible packet loss phenomenon in control input is fully considered, and it is characterized by a series of impulse packet loss rate (iPLR) conditions. In terms of the reverse average dwell time (rADT) condition and the average impulse gain method, some sufficient conditions guaranteing that all the nodes of CDNs can be synchronized to their cluster sets are derived, from which the constraint relationships among rate coefficients, impulsive control law, and iPLR can be revealed. Finally, an example is given to illustrate the correctiveness of our results.

本文研究了参数与所选集群模式不匹配的一类复杂动态网络 ( CDN ) 的集群同步 ( CS )。提出了一种具有多个控制增益的脉冲控制策略。特别是充分考虑了控制输入中可能出现的丢包现象，其特点是一系列脉冲丢包率（iPLR）条件。根据反向平均停留时间（rADT）条件和平均脉冲增益法，推导了保证CDN的所有节点都可以同步到其簇集的充分条件，由此得到速率系数、脉冲控制之间的约束关系。法律，以及可以显示iPLR 。最后给出一个例子来说明我们结果的正确性。