Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies

doi:10.1088/1674-1056/21/11/110508

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110508-110508.doi: 10.1088/1674-1056/21/11/110508

Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies

M. J. Park^a, O. M. Kwon^a, Ju H. Park^b, S. M. Lee^c, 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

收稿日期:2012-05-01 修回日期:2012-06-23 出版日期:2012-10-01 发布日期:2012-10-01
基金资助:
Project supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), the Ministry of Education, Science and Technology, Korean (Grant Nos. 2012-0000479 and 2011-0009273), and the Korea Healthcare Technology R & D Project, Ministry of Health & Welfare, Republic of Korea (Grant No. A100054).

Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies

M. J. Park^a, O. M. Kwon^a, Ju H. Park^b, S. M. Lee^c, 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

Received:2012-05-01 Revised:2012-06-23 Online:2012-10-01 Published:2012-10-01
Contact: O. M. Kwon E-mail:madwind@chungbuk.ac.kr
Supported by:
Project supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), the Ministry of Education, Science and Technology, Korean (Grant Nos. 2012-0000479 and 2011-0009273), and the Korea Healthcare Technology R & D Project, Ministry of Health & Welfare, Republic of Korea (Grant No. A100054).

摘要/Abstract

摘要： 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 various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

关键词: consensus, multi-agent systems, time delay, Lyapunov method

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 various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

Key words: consensus, multi-agent systems, time delay, Lyapunov method

中图分类号: (Self-organized systems)

05.65.+b

02.10.Yn (Matrix theory)

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha . Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies[J]. 中国物理B, 2012, 21(11): 110508-110508.

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha. Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies[J]. Chin. Phys. B, 2012, 21(11): 110508-110508.

参考文献 23

[1]	Olfati-Saber R, Fax J A and Murray R M 2007 Proc. IEEE 95 215
[2]	Ren W and Beard R W 2005 IEEE Tran. Autom. Control 50 655
[3]	Wang J, Cheng D and Hu X 2008 Asian J. Control 10 144
[4]	Yang T, Jin Y H, Wang W and Shi Y J 2011 Chin. Phys. B 20 020511
[5]	Song H Y, Yu L, Hu H X and Zhang W A 2012 Chin. Phys. B 21 028901
[6]	Zhang W G, Zeng D L and Guo Z K 2010 Chin. Phys. B 19 070518
[7]	Ren W 2007 IET Control Theory Appl. 1 505
[8]	Wu Q, Liu W, Yang Y, Zhao C and Li Y 2006 Int. Conf. on Power System Technology (PowerCon 2006), October 22-26, 2006 Chongqing, China, pp. 1-5
[9]	DeLellis P, di Bernardo M, Garofalo F and Liuzza D 2010 Appl. Math. Comput. 217 988
[10]	Xu S and Lam J 2008 Int. J. Syst. Sci. 39 1095
[11]	Hong Y, Gao L, Cheng D and Hu J 2007 IEEE Tran. Autom. Control 52 943
[12]	Liu C L and Liu F 2010 Proceedings of 2010 Chinese Control and Decision Conference, Xuzhou, China, May 26-28, pp. 739-744
[13]	Xiao F and Wang L 2006 Int. J. Control 79 1277
[14]	Hu J P and Hong Y G 2007 Physica A 374 853
[15]	Tian Y P and Liu C L 2008 IEEE Tran. Autom. Control 53 2122
[16]	Qin J, Gao H and Zheng W X 2011 Int. J. Syst. Sci. 42 1947
[17]	Park P and Ko J W 2011 Automatica 47 235
[18]	Boyd S, El Ghaoui L, Feron E and Balakrishnan V 1994 Linear Matrix Inequalities in System and Control Theory (Philadelphia: SIAM)
[19]	Ariba Y and Gouaisbaut F 2009 Int. J. Control 82 1616
[20]	Rakkiyappan R, Balasubramaniam P and Krishnasamy R 2011 J. Comput. Appl. Math. 235 2147
[21]	Godsil C and Royle G F 2001 Algebraic Graph Theory (New York: Springer-Verlag)
[22]	Gu K 2000 Proc. of the 39th IEEE Conf. on Decision and Control, Sydney, Australia, December 12-15, pp. 2805-2810
[23]	de Oliveira M C and Skelton R E 2001 Stability Tests for Constrained Linear Systems (Berlin: Springer-Verlag), pp. 241-257

Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies

Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies

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