All Title Author
Keywords Abstract


DOI: 10.3724/SP.J.1004.2013.00312, PP. 312-321

Keywords: 复杂动态网络,有向网络,牵制控制,能控性,同步

Full-Text   Cite this paper   Add to My Lib




[1]  Wang Xiao-Fan, Li Xiang, Chen Guan-Rong. Network Science: An Introduction. Beijing: High Education Press, 2012(汪小帆, 李翔, 陈关荣. 网络科学导论. 北京: 高等教育出版社, 2012)
[2]  Erd?s P, Rényi A. On the evolution of random graphs. Publication of the Mathematical Institute of Hungarian Academy of Sciences, 1960, 5: 17-61
[3]  Watts D J, Strogatz S H. Collective dynamics of "small-world" networks. Nature, 1998, 393(6684): 440-442
[4]  Barabási A L, Albert R. Emergence of scaling in random networks. Science, 1999, 286(5439): 509-512
[5]  Newman M E J, Watts D J. Renormalization group analysis of the small-world network model. Physics Letters A, 1999, 263(4-6): 341-346
[6]  Newman M E J. Networks: An Introduction. Oxford: Oxford University Press, 2010
[7]  Wang X F, Chen G R. Pinning control of scale-free dynamical networks. Physica A: Statistical Mechanics and Its Applications, 2002, 310(3-4): 521-531
[8]  Cho A. Scientific link-up yields "control panel" for networks. Science, 2011, 332(6031): 777
[9]  Chen G R, Wang X F, Li X, Lv J H. Some recent advances in complex network synchronization. Recent Advances in Nonlinear Dynamics and Synchronization Studies, in Computational Intelligence. Berlin: Springer-Verlag, 2009, 254: 3-16
[10]  Pecora L M, Carroll T L. Master stability functions for synchronized coupled systems. Physical Review Letters, 1998, 80(10): 2109-2112
[11]  Duan Z S, Chen G R, Huang L. Complex network synchronizability: analysis and control. Physical Review E, 2007, 76(5): 056103
[12]  Wang X F, Chen G R. Synchronization in small-world dynamical networks. International Journal of Bifurcation and Chaos, 2002, 12(1): 187-192
[13]  Barahona M, Pecora L M. Synchronization in small-world systems. Physical Review Letters, 2002, 89(5): 054101
[14]  Stefánski A, Perlikowski P, Kapitaniak T. Ragged synchronizability of coupled oscillators. Physical Review E, 2007, 75(1): 016210
[15]  Chen T P, Liu X W, Lu W L. Pinning complex networks by a single controller. IEEE Transactions on Circuits and Systems I: Regular Papers, 2007, 54(6): 1317-1326
[16]  Zhou J, Wu Q J, Xiang L. Impulsive pinning complex dynamical networks and applications to firing neuronal synchronization. Nonlinear Dynamics, 2012, 69(3): 1393-1403
[17]  Chen Guan-Rong. Network synchronization (Chapter 4). Complex Networks (Chief Editor: Guo Lei, Xu Xiao-Ming), Shanghai: Shanghai Education Press, 2006, 67-95(陈关荣. 网络同步(第四章). 复杂网络 (主编: 郭雷, 许小鸣). 上海: 上海科技教育出版社, 2006. 67-95)
[18]  Chen G R, Duan Z S. Network synchronizability analysis: a graph-theoretic approach. Chaos, 2008, 18(3): 037102
[19]  Egerstedt M B, Martini S, Cao M, Camlibel K K, Bicchi A. Interacting with networks: how does structure relate to controllability in single-leader, consensus networks? IEEE Control Systems, 2012, 32(4): 66-73
[20]  Buldyrev S V, Parshani R, Paul G, Stanley H E, Havlin S. Catastrophic cascade of failures in interdependent networks. Nature, 2010, 464(7291): 1025-1028
[21]  Chen G R, Wang X F, Li X. Introduction to Complex Networks: Models, Structures and Dynamics. Beijing: High Education Press, 2012
[22]  Li X, Wang X F, Chen G R. Pinning a complex dynamical network to its equilibrium. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2004, 51(10): 2074-2086
[23]  Couzin I D, Krause J, Franks N R, Levin S A. Effective leadership and decision-making in animal groups on the move. Nature, 2005, 433(7025): 513
[24]  Wang X F, Chen G R. Synchronization in scale-free dynamical networks: robustness and fragility. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2002, 49(1): 54-62
[25]  Duan Z S, Chen G R, Huang L. Disconnected synchronized regions of complex dynamical networks. IEEE Transactions on Automatic Control, 2009, 54(4): 845-849
[26]  Zhou J, Lu J A, Lv J H. Pinning adaptive synchronization of a general complex dynamical network. Automatica, 2008, 44(4): 996-1003
[27]  Lin C T. Structural controllability. IEEE Transactions on Automatic Control, 1974, 19(3): 201-208
[28]  Willems J L. Structural controllability and observability. Systems and Control Letters, 1986, 8(1): 5-12
[29]  Liu Y Y, Slotine J J, Barabási A L. Controllability of complex networks. Nature, 2011, 473(7346): 167-173
[30]  Wang W X, Ni X, Lai Y C, Grebogi C. Optimizing controllability of complex networks by minimum structural perturbations. Physical Review E, 2012, 85(2): 026115
[31]  Yan G, Ren J, Lai Y C, Lai C H, Li B W. Controlling complex networks: How much energy is needed? Physical Review Letters, 2012, 108(21): 218703
[32]  Nepusz T, Vicsek T. Controlling edge dynamics in complex networks. Nature Physics, 2012, 8(7): 568-573
[33]  Vespignani A. Complex networks: the fragility of interdependency. Nature, 2010, 464(7291): 984-985
[34]  Brummitt C D, D'Souza R M, Leicht E A. Suppressing cascades of load in interdependent networks. Proceedings of the National Academy of Sciences of the United States of America, 2012, 109(12): E680-E689
[35]  Gao J X, Buldyrev S V, Stanley H E, Havlin S. Networks formed from interdependent networks. Nature Physics, 2011, 8(1): 40-48


comments powered by Disqus