A Novel Second-Order Consensus Control in Multi-agent Dynamical Systems

  • Boshan Chen
  • Jiejie ChenEmail author
  • Zhigang Zeng
  • Ping Jiang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11555)


In this paper, a new type protocol is proposed. Second-order consensus in multi-agent dynamical systems with this protocol is studied using a new analytical method. A necessary and sufficient condition for reaching consensus of the system with the this protocol is obtained, which depending on the spectrum of the Laplacian matrix and the control parameter setting. Meanwhile, a simple and practical criterion of sampling period is given in the ordinary case. Finally, two simulation examples are given to verify and illustrate the theoretical analysis.


Second-order consensus Multi-agent systems Sampling period 



The work is supported by the Natural Science Foundation of China under Grant 61603129, 61841301, the Natural Science Foundation of Hubei Province under Grant 2016CFC734.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Boshan Chen
    • 1
  • Jiejie Chen
    • 2
    Email author
  • Zhigang Zeng
    • 3
  • Ping Jiang
    • 4
  1. 1.College of Mathematics and StatisticsHubei Normal UniversityHuangshiChina
  2. 2.College of Computer Science and TechnnologyHubei Normal UniversityHuangshiChina
  3. 3.School of Artificial Intelligence and AutomationHuazhong University of Science and TechnologyWuhanChina
  4. 4.Computer SchoolHubei Polytechnic UniversityHuangshiChina

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