Pinning control of directed dynamical networks based on ControlRank

References

• Adamic , L. A. 2001 . Search in power-law networks . Phys. Rev. E , 64 ( 4 II ) : 461351
   Google Scholar
• Albert , R. and Barabasi , A. L. 1999 . Emergence of Scaling in Random Networks . Science , 286 : 509
   PubMed Web of Science ®Google Scholar
• Albert , R. and Barabasi , A. L. 2002 . Statistical mechanics of complex networks . Rev. Modern Phys , 74 ( 1 ) : 47
   Google Scholar
• Albert , R. , Jeong , H. and Barabasi , A. L. 1999 . Diameter of the world-wide web . Nature , 401 ( 6749 ) : 130
   Web of Science ®Google Scholar
• Barabasi , A. L. , Albert , R. and Jeong , H. 2000 . Scale-free characteristics of random networks: the topology of the world-wide web . Phys. A , 281 ( 1 ) : 69
   Google Scholar
• Bollobas , B. Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms . Baltimore, MD. Directed scale-free graphs ,
   Google Scholar
• Boyd , S. 1994 . Linear Matrix Inequalities In System And Control Theory , Philadelphia : SIAM .
   Google Scholar
• Brin , S. and Page , L. 1998 . “ The anatomy of a large-scale hypertextual web search engine ” . In Proceedings of the 7 International World Wide Web Conference 107 Brisbane
   Google Scholar
• Brin , S. 1999 . The pagerank citation ranking: Bringing order to the web , Computer Science Department, Stanford University . Techn, Rep., 1999-0120
   Google Scholar
• Chen , T. , Liu , X. and Lu , W. 2007 . Pinning complex networks by a single controller . IEEE Trans. Circuits Syst. I: Regul. Papers , 54 : 1317 – 1326 .
   Web of Science ®Google Scholar
• Ding , C. , He , X. , Husbands , P. , Zha , H. and Simon , H. D. Proceedings of the 25th Annual International ACM SIGIR Conference on Research and Development in Information Retrieval . Tampere, Finland. PageRank, HITS and a unified framework for link analysis ,
   Google Scholar
• Dorogovtsev , S. N. , Mendes , J. F.F. and Samukhin , A. N. 2000 . Structure of growing networks with preferential linking . Phys. Rev. Lett , 85 : 4633
   PubMed Web of Science ®Google Scholar
• Langville , A. N. and Meyer , C. D. 2006 . Google's PageRank and Beyond: The Science of Search Engine Rankings , New Jersey : Princeton University Press .
   Google Scholar
• Li , X. , Wang , X. F. and Chen , G. 2004 . Pinning a complex dynamical network to its equilibrium . IEEE Transa. Circuits Syst. I: Regular Papers , 51 ( 10 ) : 2074
   Web of Science ®Google Scholar
• Lu , W. , Li , X. and Rong , Z. 2006 . Pinning a dynamical network to an arbitrary trajectory submitted for publication
   Google Scholar
• Newman , M. E.J. 2003 . The structure and function of complex networks . SIAM Rev , 45 ( 2 ) : 167
   Web of Science ®Google Scholar
• Pastor-Satorras , R. and Vespignani , A. 2001 . Immunization of complex networks . Phys. Rev. E , : 036104/1 – 036104/8 .
   Google Scholar
• Tadic , B. 2001 . Dynamics of directed graphs: the world-wide web . Phys. A , 293 : 273 – 284 .
   Google Scholar
• Ramirez , J. A. 1994 . Nonlinear feedback for controlling the Lorenz equation . Phys. Rev. E , 50 : 2339 – 2342 .
   Google Scholar
• Wang , X. F. and Chen , G. 2002 . Pinning control of scale-free dynamical networks . Phys. A , 310 ( 3–4 ) : 521
   Web of Science ®Google Scholar
• Wu , C. W. 2005 . Synchronization in networks of nonlinear dynamical systems coupled via a directed graph . Nonlinearity , 18 ( 3 ) : 1057
   Web of Science ®Google Scholar
• Wu , C. W. 2005 . On Rayleigh-Ritz ratios of a generalized Laplacian matrix of directed graphs . Linear Algebra Appl , 402 : 207
   Google Scholar
• Wu , C. W. 2005 . On bounds of extremal eigenvalues of irreducible and m-reducible matrices . Linear Algebra Appl , 402 : 29
   Web of Science ®Google Scholar
• Xiang , L. Y. 2007 . Pinning control of complex dynamical networks with general topology . Phys. A , 379 : 298 – 306 .
   Web of Science ®Google Scholar