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复杂动态网络环境下控制理论遇到的问题与挑战

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

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Abstract:

?以漫谈的方式讨论复杂动态网络环境下传统控制理论所遇到的一些新问题与新挑战.具体地,本文首先介绍现代网络科学与工程的背景,然后讨论复杂动态网络的牵制控制、有向复杂网络的能控性以及"网络的网络"的建模与控制等三个方面的相关科学研究问题.

References

[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

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