Impulsive Cluster Synchronization for Complex Dynamical Networks with Packet Loss and Parameters Mismatch

Impulsive Cluster Synchronization for Complex Dynamical Networks with Packet Loss and Parameters Mismatch
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具有丢包和参数不匹配的复杂动态网络的脉冲集群同步

DOI:
10.1016/j.apm.2022.07.022
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发表时间:
2022-07
影响因子:
5
通讯作者:
Jungang Lou
Jungang Lou
中科院分区:
工程技术2区
文献类型:
--
作者:
Yuanyuan Li;Jianquan Lu;A.S. Alofi;Jungang Lou

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·提出了一种具有多个控制增益的脉冲控制策略。·导出了保证CDN可以同步到其集群集合的充分条件。·揭示了速率系数、脉冲控制律和iPLR之间的关系。研究了一类复杂动态网络(CDN)的簇同步问题。提出了一种具有多个控制增益的脉冲控制策略。特别地,该算法充分考虑了控制输入端可能出现的丢包现象,并给出了一系列脉冲丢包率(iPLR)条件。利用反向平均驻留时间(rADT)条件和平均脉冲增益方法,导出了CDN网络中所有节点同步到簇集的充分条件,揭示了速率系数、脉冲控制律和iPLR之间的约束关系.最后,通过一个例子说明了所得结果的正确性。
• An impulsive control strategy with multiple control gain is proposed. • Sufficient conditions are derived to guarantee that CDNs can be synchronized to their cluster sets. • The relationship among rate coefficients, impulsive control law, and iPLR is revealed. 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.
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