Journal of Northeastern University Natural Science ›› 2016, Vol. 37 ›› Issue (9): 1217-1220.DOI: 10.12068/j.issn.1005-3026.2016.09.001

• Information & Control •     Next Articles

Consensus Gain Analysis of Stochastic Multi-agent System

LIU Jian-chang1, MING Ping-song1,2   

  1. 1. School of Information Science & Engineering, Northeastern University, Shenyang 110819, China; 2. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 110168, China.
  • Received:2015-06-24 Revised:2015-06-24 Online:2016-09-15 Published:2016-09-18
  • Contact: MING Ping-song
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Abstract: The consensus stability of the stochastic multi-agent system was investigated when the consensus gain function did not satisfy the robustness condition of the consensus stability, and the robustness gain condition of consensus stability was broaden from the existing literature. By using the algebraic graph theory and the stochastic stability theory, the consensus stability problem of stochastic multi-agent system was transformed into the stability problem of the state-error closed-loop system. Next the stochastic state-error closed-loop multi-agent system was analyzed by the stochastic stability theory, then a new consensus stability condition of the stochastic multi-agent system was obtained. Finally, a simulation example was given to illustrate the feasibility and effectiveness of the proposed system.

Key words: stochastic control, multi-agent system, gain function, consensus, stability

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