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Nonlinear Dynamics

, Volume 95, Issue 2, pp 1713–1730 | Cite as

Cluster-delay consensus in MASs with layered intermittent communication: a multi-tracking approach

  • Da Huang
  • Haijun JiangEmail author
  • Zhiyong Yu
  • Cheng Hu
  • Xiaolin Fan
Review
  • 84 Downloads

Abstract

In this paper, a class of cluster consensus problem of the multi-agent systems with aperiodic intermittent communication is studied through tracking approach. Due to the transmission ways of information in the network, a new notion of layered intermittence is developed. To track the leading subnetwork and reach the desired consensus, a new type of pinning-like consensus protocol with aperiodic intermittent effects is designed according to the topological properties of agents. Considering both the control protocol with intermittent effects and the intermittent communication, the protocol is applied to construct several new intermittent switching systems. Besides, the graph of the networked system is assumed to be directed and weakly connected. Some consensus criteria are derived to guarantee that the agents in the same cluster follow the leader asymptotically, while agents in different clusters reach the desired delay consensus via tracking their leaders. Finally, some numerical simulations are given to illustrate the effectiveness of the theoretical results.

Keywords

Clustered network Multi-agent system Leader-following Cluster consensus Intermittent communication 

Notes

Acknowledgements

We express our sincere gratitude to the people who gave us valuable comments. This work was supported by National Natural Science Foundation of Peoples Republic of China (NSFC) (Grants Nos. 61473244, 11402223), the National Natural Science Foundation of Xinjiang (NSFXJ) (No. 2015211B005) and NSFC No. 11661077, the Scientific Research program of the Higher Education Institution of Xinjiang (grant no. XJEDU2017T001), the Excellent Young Talents in Science and Technology Project of Xinjiang (grant no. 2017Q032), Education Program of Xinjiang Tianshan Talents (No. 2018xgytsyc2-5).

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.College of Mathematics and System SciencesXinjiang UniversityUrumqiChina
  2. 2.Xinjiang Institute of EngineeringUrumqiChina

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