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Group consensus analysis of multi-agent systems with delays

Ji Liang-Hao Liao Xiao-Feng Liu Qun

Group consensus analysis of multi-agent systems with delays

Ji Liang-Hao, Liao Xiao-Feng, Liu Qun
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Publishing process
  • Received Date:  17 April 2012
  • Accepted Date:  10 June 2012
  • Published Online:  20 November 2012

Group consensus analysis of multi-agent systems with delays

  • 1. State Key Lab. of Power Transmission Equipment & System Security and New Technology, College of Computer Science, Chongqing University,Chongqing 400044, China;
  • 2. College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 60973114, 61170249), the Natural Science Foundation of CQCSTC (Grant Nos. 2009BA2024, cstc2011jjA1320), and the State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University(Grant No. 2007DA10512711206).

Abstract: In this paper, a new consensus problem is investigated which is group consensus. It contains such consensus problem as a special case that all agents in a network reach a consistent value asymptotically. Consider a dynamic multi-agent system with connected undirected or connected bipartite graph topology and delays, two novel consensus protocols are introduced to solve the group consensus problem. The convergence analysis is discussed and the sufficient condition for system group convergence is obtained based on the frequency-domain analysis and generalized Nyquist criterion, respectively. And we know that the condition of group convergence is only depended on system's time delay and the adjacent weight between the agents, meanwhile, delay can affect the dynamic characteristics of the system. Finally, simulations are provided to demonstrate the effectiveness of our theoretical results.

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