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

Author：

Ge, Yan-Rong (Ge, Yan-Rong.) | Chen, Yang-Zhou (Chen, Yang-Zhou.) (Scholars：陈阳舟) | Zhang, Ya-Xiao (Zhang, Ya-Xiao.)

Indexed by：

EI Scopus PKU CSCD

Abstract：

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.　©,　2014,　Acta　Automatica　Sinica.　All　rights　reserved.

Keyword：

Topology Mathematical transformations Time varying control systems Multivariable control systems Lyapunov functions Asymptotic stability Multi agent systems Linear transformations Linear systems Linear matrix inequalities Time delay

Author Community：

[ 1 ] [Ge, Yan-Rong]College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing ; 100124, China
[ 2 ] [Ge, Yan-Rong]College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang ; 050024, China
[ 3 ] [Chen, Yang-Zhou]College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing ; 100124, China
[ 4 ] [Zhang, Ya-Xiao]College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing ; 100124, China