Average dwell-time conditions for consensus of discrete-time linear multi-agent systems with switching topologies and time-varying delays

作者：Ge Y R; Chen Y Z; Zhang Y X

来源：Acta Automatica Sinica, 2014, 40(11): 2609-2617.

DOI：10.3724/SP.J.1004.2014.02609

• Average dwelltime
• Consensus
• Directed switching information topologies
• Linear matrix inequalities (LMIs)
• Multi-agent systems (MASs)
• Time-varying delay

This paper investigates the consensus problem of discrete-time linear multi-agent systems (DLMASs) with directed switching information topologies and time-varying delays. First, we transform the consensus problem to an asymptotic stability problem of a corresponding time-delayed switched linear system (TDSLS) via a proper linear transformation. Then by using a constructed Lyapunov functional and the average dwell-time scheme, we establish a novel delay-dependent sufficient condition for the solvability of the consensus problem in terms of linear matrix inequalities (LMIs) for two cases, respectively: 1) all of the given information topologies are consensusable; 2) some of the given information topologies are consensusable. Finally, numerical examples are given to show the validness of the established results.

• 出版日期2014
• 单位北京大学