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Leader-following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies
Authors:M.J.Park a  O.M.Kwon a  Ju H.Park b  S.M.Lee c  and E.J.Cha d a
Affiliation:M.J.Park a),O.M.Kwon a),Ju H.Park b),S.M.Lee c),and E.J.Cha d) a) School of Electrical Engineering,Chungbuk National University,52 Naesudong-ro,Heungduk-gu,Cheongju 361-763,Republic of Korea b) Department of Electrical Engineering,Yeungnam University,214-1 Dae-Dong,Kyongsan 712-749,Republic of Korea c) School of Electronic Engineering,Daegu University,Gyungsan 712-714,Republic of Korea d) Department of Biomedical Engineering,School of Medicine,Chungbuk National University,52 Naesudong-ro,Heungduk-gu,Cheongju 361-763,Republic of Korea
Abstract:We consider multi-agent systems with time-varying delays and switching interconnection topologies.By constructing a suitable Lyapunov-Krasovskii functional and using the reciprocally convex approach,new delay-dependent consensus criteria for the systems are established in terms of linear matrix inequalities(LMIs),which can be easily solved by using various effective optimization algorithms.Two numerical examples are given to illustrate the effectiveness of the proposed methods.
Keywords:consensus   multi-agent systems   time delay   Lyapunov method
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