A new approach to consensus problems in discrete-time multiagent systems with time-delays  

作　　者：WANG Long XIAO Feng 

机构地区：[1]Intelligent Control Laboratory, Center for Systems and Control, Department of Industrial Engineering and Management, and Department of Mechanics and Space Technologies, College of Engineering, Peking University, Beijing 100871, China

出　　处：《Science in China(Series F)》2007年第4期625-635,共11页中国科学（F辑英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos. 60674050 and 60528007);the National 973 Program (Grant No.2002CB312200);the National 863 Program (Grant No. 2006AA04Z258);11-5 project (Grant No. A2120061303)

摘　　要：In this paper, consensus problems in discrete-time multiagent systems with time-invariant delays are considered. In order to characterize the structures of communication topologies, the concept of ＂pre-leader-follower＂ decomposition is introduced. Then, a necessary and sufficient condition for state consensus is established. By this method, consensus problems in networks with a single time-delay, as well as with multiple time-delays, are studied, and some necessary and sufficient conditions for solvability of consensus problems are obtained.In this paper, consensus problems in discrete-time multiagent systems with time-invariant delays are considered. In order to characterize the structures of communication topologies, the concept of ＂pre-leader-follower＂ decomposition is introduced. Then, a necessary and sufficient condition for state consensus is established. By this method, consensus problems in networks with a single time-delay, as well as with multiple time-delays, are studied, and some necessary and sufficient conditions for solvability of consensus problems are obtained.

关 键 词：consensus problems TIME-DELAYS communication topologies multiagent system decomposition 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]