The χ-consensus problem of high-order multi-agent systems with fixed and switching topologies

2008 ◽  
Vol 10 (2) ◽  
pp. 246-253 ◽  
Author(s):  
Fangcui Jiang ◽  
Guangming Xie ◽  
Long Wang ◽  
Xiaojie Chen
2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Zhengxin Wang ◽  
Yang Cao

This paper studies the consensus problem for a high-order multi-agent systems without or with delays. Consensus protocols, which only depend on the own partial information of agents and partial relative information with its neighbors, are proposed for consensus and quasi-consensus, respectively. Firstly, some lemmas are presented, and then a necessary and sufficient condition for guaranteeing the consensus is established under the consensus protocol without delays. Furthermore, communication delays are considered. Some necessary and sufficient conditions for solving quasi-consensus problem with delays are obtained. Finally, some simulations are given to verify the theoretical results.


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