Cluster Consensus of Nonlinearly Coupled Multi-Agent Systems in Directed Graphs
LU Xiao-Qing1, Francis Austin2, CHEN Shi-Hua1
1School of Mathematics and Statistics, Wuhan University, Wuhan 430072 2 Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong
Cluster Consensus of Nonlinearly Coupled Multi-Agent Systems in Directed Graphs
LU Xiao-Qing1, Francis Austin2, CHEN Shi-Hua1
1School of Mathematics and Statistics, Wuhan University, Wuhan 430072 2 Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong
摘要We investigate the cluster consensus problem in directed networks of nonlinearly coupled multi-agent systems by using pinning control. Depending on the community structure generated by the group partition of the underlying digraph, various clusters can be made coherently independent by applying feedback injections to a fraction of the agents. Sufficient conditions for cluster consensus are obtained using algebraic graph theory and matrix theory and some simulations results are included to illustrate the method.
Abstract：We investigate the cluster consensus problem in directed networks of nonlinearly coupled multi-agent systems by using pinning control. Depending on the community structure generated by the group partition of the underlying digraph, various clusters can be made coherently independent by applying feedback injections to a fraction of the agents. Sufficient conditions for cluster consensus are obtained using algebraic graph theory and matrix theory and some simulations results are included to illustrate the method.
LU Xiao-Qing;Francis Austin;CHEN Shi-Hua. Cluster Consensus of Nonlinearly Coupled Multi-Agent Systems in Directed Graphs[J]. 中国物理快报, 2010, 27(5): 50503-050503.
LU Xiao-Qing, Francis Austin, CHEN Shi-Hua. Cluster Consensus of Nonlinearly Coupled Multi-Agent Systems in Directed Graphs. Chin. Phys. Lett., 2010, 27(5): 50503-050503.
[1] Zhang Y, Lu S and Wang Y H 2009 Chin. Phys. Lett. 26 090501 [2] Ji D H, Park J H, Yoo W J, Won S C and Lee S M 2010 Phys. Lett. A 374 1218 [3] Guan J B 2010 Chin. Phys. Lett. 27 020502 [4] Sun M, Zeng C Y and Tian L X 2009 Chin. Phys. Lett. 26 010501 [5] Tang J, Jia Y, Yi M, Ma J and Yu G 2008 Chin. Phys. Lett. 25 1149 [6] Sun X J and Lu Q S 2009 Chin. Phys. Lett. 26 060507 [7] Saber R O and Murray R M 2004 IEEE Trans. Autom. Contral. 49 1520 [8] Moreau L 2005 IEEE Trans. Autom. Control. 50 169 [9] {10} Ren W and Beard R W 2005 IEEE Trans. Autom. Control. 50 655 [10] Olfati-Saber R 2006 IEEE Trans. Autom. Control. 51 401 [11] Hong Y G, Hu J P and Gao L X 2006 Automatica 42 1177 [12] {14} Sun Y Z and Ruan J 2008 Chin. Phys. Lett. 25 3493 [13] {15} Liu X W, Chen T P and Lu W L 2009 Phys. Lett. A 373 3122 [14] Su H S and Wang X F 2009 IEEE Trans. Autom. Control. 54 293 [15] Park J H, Lee S M and Jung H Y 2009 J. Optim. Theorol. Appl. 143 357 [16] Horn R and Jornson C 1985 Matrix Analysis (New York: Cambridge University)
2010, Vol. 27 
