Consensus of second-order multi-agent systems under communication delay

Author

Liu, Fei ; Fei Liu

Author_Institution

Inst. of Autom., Jiangnan Univ., Wuxi, China

fYear

2010

fDate

26-28 May 2010

Firstpage

739

Lastpage

744

Abstract

In this paper, the leader-following consensus problem is investigated for the second-order multi-agent systems with communication delay. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions, consensus conditions in the form of linear matrix inequality (LMI) are obtained for the system with time-varying communication delays and static interconnection topology converging to the leader´s states respectively. In addition, by constructing Lyapunov-Krasovskii functional, delay-dependent consensus condition in the form of LMI is also obtained for the system with time-invariant communication delay and switching topology. Simulation results illustrate the correctness of the results.

Keywords

Lyapunov methods; delay systems; linear matrix inequalities; multi-agent systems; time-varying systems; LMI; Lyapunov-Krasovskii functional; Lyapunov-Razumikhin function; delay-dependent consensus condition; leader-following consensus problem; linear matrix inequality; second-order multiagent system; static interconnection topology; switching topology; time-invariant communication delay; time-varying communication delay; Automatic control; Biological system modeling; Communication switching; Communication system control; Delay systems; Linear matrix inequalities; Multiagent systems; Network topology; Protocols; Time varying systems; Consensus; Second-order Multi-agent Systems; Switching Topology; Time-varying Communication Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498912

Filename

5498912