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Group Consensus of Second-Order Dynamic Multi-Agent Systems with Time-Varying Communication Delays and Directed Networks

Author

Listed:
  • Meng Shuanghe
  • Xu Lü
  • Chen Liang

    (School of AutomationNanjing University of Science and Technology, Nanjing210094, China)

Abstract

This paper studies the group consensus problem for second-order multi-agent dynamic systems with time-varying delays, where the agents in a network may reach one more consistent values asymptotically. The fixed network topology is in case of being directed and weakly connected. Based on algebraic graph theory and Lyapunov function approach, we propose some sufficient conditions for reaching group consensus. All the results are presented in the form of linear matrix inequalities(LMIs). A simulation example is provided to demonstrate the effectiveness of the theoretical analysis.

Suggested Citation

  • Meng Shuanghe & Xu Lü & Chen Liang, 2016. "Group Consensus of Second-Order Dynamic Multi-Agent Systems with Time-Varying Communication Delays and Directed Networks," Journal of Systems Science and Information, De Gruyter, vol. 4(3), pages 258-268, June.
    • Handle: RePEc:bpj:jossai:v:4:y:2016:i:3:p:258-268:n:6
    DOI: 10.21078/JSSI-2016-258-11
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