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

作者：Wang Long; Xiao Feng^*

来源：Science in China - Series F: Information Sciences , 2007, 50(4): 625-635.

DOI：10.1007/s11432-007-0044-3

• consensus problems
• time-delays
• communication topologies
• multiagent system decomposition

In this paper, consensus problems in discrete-time multiagent systems with timeinvariant delays are considered. In order to characterize the structures of communication topologies, the concept of " pre-leader-fol lower" 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.

• 出版日期2007-8
• 单位北京大学