摘要
This paper is concerned with the constrained consensuses problem for a group of agents in disconnected topologies. By dividing the communication topology into a combination of directed trees, some necessary and sufficient conditions are derived for all the agents to asymptotically reach a single consensus and multiple consensuses, respectively. The obtained results indicate that arbitrary anticipant consensuses can be achieved, if additional constrained controllers are added to those agents with specific indexes. Some illustrative examples are provided to demonstrate the effectiveness of the proposed theoretical results.
This paper is concerned with the constrained consensuses problem for a group of agents in disconnected topologies. By dividing the communication topology into a combination of directed trees, some necessary and sufficient conditions are derived for all the agents to asymptotically reach a single consensus and multiple consensuses, respectively. The obtained results indicate that arbitrary anticipant consensuses can be achieved, if additional constrained controllers are added to those agents with specific indexes. Some illustrative examples are provided to demonstrate the effectiveness of the proposed theoretical results.
作者
Song Hai-Yu
Yu Li
Hu Hong-Xiang
Zhang Wen-An
宋海裕;俞立;胡鸿翔;张文安(College of Information Engineering,Zhejiang University of Technology and Zhejiang Provincial United Key Laboratory of Embedded Systems,Hangzhou 310023,China)
基金
supported by the National Natural Science Foundation of China (Grant No.60974017 and 61104063)
the Key Subject Open Foundation of Information Processing and Automation Techniques (Grant No.20110807)
