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Volumn 59, Issue 11, 2012, Pages 2692-2701

Pinning-controllability analysis of complex networks: An M-matrix approach

Author keywords

Complex network; directed spanning tree; M matrix; pinning controllability; synchronization

Indexed keywords

CONTROLLABILITY; MATRIX ALGEBRA; STABILITY CRITERIA; SYNCHRONIZATION;

EID: 84869505700     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2012.2190573     Document Type: Article
Times cited : (145)

References (36)
  • 1
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • DOI 10.1038/30918
    • D. J. Watts and S. H. Strogatz, "Collective dynamics of 'small-world' networks," Nature, vol. 393, pp. 440-442, 1998. (Pubitemid 28292183)
    • (1998) Nature , vol.393 , Issue.6684 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 2
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • A. L. Barabási and R. Albert, "Emergence of scaling in random networks," Science, vol. 286, pp. 509-512, 1999.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.L.1    Albert, R.2
  • 4
    • 79955879494 scopus 로고    scopus 로고
    • Controllability of complex networks
    • Y. Y. Liu, J. J. Slotine, and A. L. Barabási, " Controllability of complex networks," Nature, vol. 473, pp. 167-173, 2011.
    • (2011) Nature , vol.473 , pp. 167-173
    • Liu, Y.Y.1    Slotine, J.J.2    Barabási, A.L.3
  • 6
    • 79960474791 scopus 로고    scopus 로고
    • Predictive control of networked control systems
    • Y. Xia, L. Li, G. P. Liu, and P. Shi, " predictive control of networked control systems," Int. J. Contr., vol. 84, no. 6, pp. 1080-1097, 2011.
    • (2011) Int. J. Contr. , vol.84 , Issue.6 , pp. 1080-1097
    • Xia, Y.1    Li, L.2    Liu, G.P.3    Shi, P.4
  • 7
    • 0037100101 scopus 로고    scopus 로고
    • Pinning control of scale-free dynamical networks
    • DOI 10.1016/S0378-4371(02)00772-0, PII S0378437102007720
    • X. F.Wang and G. Chen, "Pinning control of scale-free dynamical networks," Physica A, vol. 310, pp. 521-531, 2002. (Pubitemid 34716166)
    • (2002) Physica A: Statistical Mechanics and its Applications , vol.310 , Issue.3-4 , pp. 521-531
    • Wang, X.F.1    Chen, G.2
  • 8
    • 7444271638 scopus 로고    scopus 로고
    • Pinning a complex dynamical network to its equilibrium
    • Oct.
    • X. Li, X. F. Wang, and G. Chen, "Pinning a complex dynamical network to its equilibrium," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 10, pp. 2074-2087, Oct. 2004.
    • (2004) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.51 , Issue.10 , pp. 2074-2087
    • Li, X.1    Wang, X.F.2    Chen, G.3
  • 11
    • 41049105651 scopus 로고    scopus 로고
    • Pinning adaptive synchronization of a general complex dynamical network
    • J. Zhou, J. Lu, and J. Lü, "Pinning adaptive synchronization of a general complex dynamical network," Automatica, vol. 44, pp. 996-1003, 2008.
    • (2008) Automatica , vol.44 , pp. 996-1003
    • Zhou, J.1    Lu, J.2    Lü, J.3
  • 12
    • 58349088745 scopus 로고    scopus 로고
    • On pinning synchronization of complex dynamical networks
    • W. Yu, G. Chen, and J. Lü, "On pinning synchronization of complex dynamical networks," Automatica, vol. 45, pp. 429-435, 2009.
    • (2009) Automatica , vol.45 , pp. 429-435
    • Yu, W.1    Chen, G.2    Lü, J.3
  • 13
    • 77949384923 scopus 로고    scopus 로고
    • On pinning synchronization of directed and undirected complex dynamical networks
    • Mar.
    • Q. Song and J. Cao, "On pinning synchronization of directed and undirected complex dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 3, pp. 672-680, Mar. 2010.
    • (2010) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.57 , Issue.3 , pp. 672-680
    • Song, Q.1    Cao, J.2
  • 14
    • 0027701875 scopus 로고
    • Strange attractors in delayed cellular neural networks
    • Nov.
    • M. Gilli, "Strange attractors in delayed cellular neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 40, no. 11, pp. 849-853, Nov. 1993.
    • (1993) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.40 , Issue.11 , pp. 849-853
    • Gilli, M.1
  • 16
    • 67650113609 scopus 로고    scopus 로고
    • Pinning a complex delayed dynamical network to a homogenous trajectory
    • Jun.
    • J. Zhao, J. Lu, and Q. Zhang, "Pinning a complex delayed dynamical network to a homogenous trajectory," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 56, no. 6, pp. 514-518, Jun. 2009.
    • (2009) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.56 , Issue.6 , pp. 514-518
    • Zhao, J.1    Lu, J.2    Zhang, Q.3
  • 17
    • 63849123030 scopus 로고    scopus 로고
    • Pinning synchronization of delayed dynamical networks via periodically intermittent control
    • art 013120
    • W. Xia and J. Cao, "Pinning synchronization of delayed dynamical networks via periodically intermittent control," Chaos, vol. 19, 2009, art no. 013120.
    • (2009) Chaos , vol.19
    • Xia, W.1    Cao, J.2
  • 18
    • 70350347096 scopus 로고    scopus 로고
    • Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers
    • Oct.
    • J.Lu,D.W. C.Ho, and Z.Wang, "Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers," IEEE Trans. Neural Networks, vol. 20, no. 10, pp. 1617-1629, Oct. 2009.
    • (2009) IEEE Trans. Neural Networks , vol.20 , Issue.10 , pp. 1617-1629
    • Lu, J.1    Ho, D.W.C.2    Wang, Z.3
  • 19
    • 51749085065 scopus 로고    scopus 로고
    • Localization of effective pinning control in complex networks of dynamical systems
    • C. W. Wu, "Localization of effective pinning control in complex networks of dynamical systems," in Proc. IEEE Int. Symp. Circuits Syst., 2008, pp. 2530-2533.
    • (2008) Proc. IEEE Int. Symp. Circuits Syst. , pp. 2530-2533
    • Wu, C.W.1
  • 20
    • 73049095891 scopus 로고    scopus 로고
    • Global stabilization of complex networks with diagraph topologies via a local pinning algorithm
    • W. Lu, X. Li, and Z. Rong, "Global stabilization of complex networks with diagraph topologies via a local pinning algorithm," Automatica, vol. 46, pp. 116-121, 2010.
    • (2010) Automatica , vol.46 , pp. 116-121
    • Lu, W.1    Li, X.2    Rong, Z.3
  • 21
    • 68949189054 scopus 로고    scopus 로고
    • Pinning-controlled synchronization of complex networks with bounded or unbounded synchronized regions
    • Y. Zou and G. Chen, "Pinning-controlled synchronization of complex networks with bounded or unbounded synchronized regions," Chin. Phys. B, vol. 18, no. 8, pp. 3337-3346, 2009.
    • (2009) Chin. Phys. B , vol.18 , Issue.8 , pp. 3337-3346
    • Zou, Y.1    Chen, G.2
  • 22
    • 79961110608 scopus 로고    scopus 로고
    • Performance of pinning-controlled synchronization
    • art 011120
    • L. F. R. Turci and E. E. N. Macau, "Performance of pinning-controlled synchronization," Phys. Rev. E, vol. 84, 2011, art no. 011120.
    • (2011) Phys. Rev. e , vol.84
    • Turci, L.F.R.1    MacAu, E.E.N.2
  • 26
    • 4243241129 scopus 로고    scopus 로고
    • Master stability functions for synchronized coupled systems
    • L. M. Pecora and T. L. Carroll, "Master stability functions for synchronized coupled systems," Phys. Rev. Lett., vol. 80, no. 10, pp. 2109-2112, 1998. (Pubitemid 128621504)
    • (1998) Physical Review Letters , vol.80 , Issue.10 , pp. 2109-2112
    • Pecora, L.M.1    Carroll, T.L.2
  • 28
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time-delay
    • Sep.
    • R.Olfati-Saber and R. M.Murray, "Consensus problems in networks of agents with switching topology and time-delay," IEEE Trans. Automat. Contr., vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
    • (2004) IEEE Trans. Automat. Contr. , vol.49 , Issue.9 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.M.2
  • 29
    • 20344399896 scopus 로고    scopus 로고
    • Consensus seeking in multiagent systems under dynamically changing interaction topologies
    • DOI 10.1109/TAC.2005.846556
    • W. Ren and R. W. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Automat. Contr., vol. 50, no. 5, pp. 655-661, May 2005. (Pubitemid 40784437)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.5 , pp. 655-661
    • Ren, W.1    Beard, R.W.2
  • 30
    • 34249061718 scopus 로고    scopus 로고
    • Multi-vehicle consensus with a time-varying reference state
    • DOI 10.1016/j.sysconle.2007.01.002, PII S0167691107000114
    • W. Ren, "Multi-vehicle consensus with a time-varying reference state," Syst. Contr. Lett., vol. 56, pp. 474-483, 2007. (Pubitemid 46783052)
    • (2007) Systems and Control Letters , vol.56 , Issue.7-8 , pp. 474-483
    • Ren, W.1
  • 31
    • 17744381357 scopus 로고    scopus 로고
    • On bounds of extremal eigenvalues of irreducible and m-reducible matrices
    • DOI 10.1016/j.laa.2004.12.004, PII S0024379504005245
    • C. W. Wu, "On bounds of extremal eigenvalues of irreducible and-reducible matrices," Linear Algebra Appl., vol. 402, pp. 29-45, 2005. (Pubitemid 40574422)
    • (2005) Linear Algebra and Its Applications , vol.402 , Issue.1-3 , pp. 29-45
    • Wu, C.W.1
  • 33
    • 56349095879 scopus 로고    scopus 로고
    • Criteria for global pinning-controllability of complex networks
    • M. Porfiri and M. di Bernardo, "Criteria for global pinning-controllability of complex networks," Automatica, vol. 44, pp. 3100-3106, 2008.
    • (2008) Automatica , vol.44 , pp. 3100-3106
    • Porfiri, M.1    Di Bernardo, M.2
  • 34
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed. Englewood Cliffs NJ: Prentice Hall
    • H. K. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 35
    • 0035911773 scopus 로고    scopus 로고
    • Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions
    • DOI 10.1016/S0375-9601(01)00109-8, PII S0375960101001098
    • P. Swinnerton-Dyer, "Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions," Phys. Lett. A, vol. 281, pp. 161-167, 2001. (Pubitemid 32233633)
    • (2001) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.281 , Issue.2-3 , pp. 161-167
    • Swinnerton-Dyer, P.1
  • 36
    • 47249083397 scopus 로고    scopus 로고
    • Pinning control of directed dynamical networks based on ControlRank
    • Y. Y. Lu and X. F. Wang, "Pinning control of directed dynamical networks based on ControlRank," Int. J. Comput. Math., vol. 85, no. 8, pp. 1279-1286, 2008.
    • (2008) Int. J. Comput. Math. , vol.85 , Issue.8 , pp. 1279-1286
    • Lu, Y.Y.1    Wang, X.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.