Leader-following consensus control for Markovian switching multi-agent systems with interval time-varying delays

Author

Park, M.J. ; Kwon, O.M. ; Park, Jae Hyo ; Lee, S.M. ; Cha, E.J. ; Lee, Tong H.

Author_Institution

Sch. of Electr. Eng., Chungbuk Nat. Univ., Cheongju, South Korea

fYear

2013

fDate

23-26 June 2013

Firstpage

1

Lastpage

6

Abstract

This paper considers multi-agent systems with interval time-varying delays and Markovian switching interconnection topology. By construction of a suitable Lyapunov-Krasovskii functional and utilization of reciprocally convex approach, new delay-dependent consensus analysis and control for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.

Keywords

Lyapunov methods; Markov processes; convex programming; delays; linear matrix inequalities; multi-agent systems; time-varying systems; LMI; Lyapunov-Krasovskii functional; Markovian switching interconnection topology; Markovian switching multiagent systems; delay-dependent consensus analysis; effective optimization algorithms; interval time-varying delays; leader-following consensus control; linear matrix inequalities; reciprocally convex approach; Delays; Educational institutions; Integrated circuit interconnections; Protocols; Switches; Symmetric matrices; Topology; Consensus; Interval time-varying delay; LMI; Markovian switching topology; Multi-agent systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ASCC), 2013 9th Asian

Conference_Location

Istanbul

Print_ISBN

978-1-4673-5767-8

Type

conf

DOI

10.1109/ASCC.2013.6606372

Filename

6606372