Consensus of Multi-Agent Systems in Directed Networks With Nonuniform Time-Varying Delays

Author

Sun, Yuan Gong ; Wang, Long

Author_Institution

Center for Syst. & Control, Peking Univ., Beijing, China

Volume

54

Issue

7

fYear

2009

fDate

7/1/2009 12:00:00 AM

Firstpage

1607

Lastpage

1613

Abstract

In this note, we study consensus problems for continuous-time multi-agent systems in directed networks with dynamically changing topologies and nonuniform time-varying delays. We have analyzed consensus problems in the following three cases: 1) directed networks with dynamically changing topologies and nonuniform time-varying delays; 2) directed networks with intermittent communication and data packet dropout; and 3) finite-time consensus in directed networks with dynamically changing topologies and nonuniform time-varying delays. We propose a new approach based on a tree-type transformation to investigate consensus problems in all three cases. Some necessary and/ or sufficient conditions are established. Simulation results are also given to demonstrate the theoretical results.

Keywords

continuous time systems; delays; multivariable control systems; time-varying systems; continuous-time systems; data packet dropout; directed networks; dynamically changing topologies; finite-time consensus; intermittent communication; multiagent systems; nonuniform time-varying delays; tree-type transformation; Adaptive control; Automatic control; Control systems; Delay; Error correction; MIMO; Multiagent systems; Network topology; Nonlinear control systems; Nonlinear systems; Protocols; Robust control; Sufficient conditions; Sun; Symmetric matrices; Time varying systems; Consensus; intermittent communication; multiagent system; nonuniform time-varying delay; tree-type transformation;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2017963

Filename

5109512