Consensus Problem of Second-order Multi-agent System in Directed Network: A Matrix Analysis Approach
In this paper the consensus of multi-agent system in directed network, where the agent is described by a second-order dynamics, is studied. The control protocol depends on two parameters, i.e. position-cooperative parameter wx >0 and velocity-cooperation parameter wv >0, and the Laplacian associated with communication network. The de.- nition of consensus in this paper is slightly different from that used in some existent literature. We de.ne the notion called inertia-consensus. Based on a matrix decomposition of the Laplacian, we de.ne the notions called basic independent system and basic non-independent system of a multi-agent system under directed networks. Furthermore, using matrix analysis approach the necessary and sufficient conditions for state inertia-consensus and/or velocity inertia-consensus, are given for the second-order systems. Also, the collective behavior of the system is discussed subject to the cases that system achieves consensus or does not. We also provide some simulation results to show the validation of our results.
Frobinus Canonical Form Basic Independent Subsystem Weighted Center Consensus
Jidong Jin Yufan Zheng Haibin Shao Linglin Shu
Department of Mathematics, Shanghai University, Shanghai 200444, China Department of Computer Scienc Department of Mathematics, Shanghai University, Shanghai 200444, China Department of Electrical and Department of Mathematics, Shanghai University, Shanghai 200444, China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
3970-3975
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）