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Volumn 22, Issue 7, 2012, Pages

Pinning impulsive stabilization of nonlinear dynamical networks with time-varying delay

Author keywords

complex networks; global exponential synchronization; Pinning impulsive control; time varying delay

Indexed keywords

COMPLEX NETWORKS; DELAY CONTROL SYSTEMS; LYAPUNOV METHODS; STABILIZATION; TIME DELAY; TIME VARYING NETWORKS;

EID: 84864803571     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127412501763     Document Type: Conference Paper
Times cited : (198)

References (43)
  • 2
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabási, A. & Albert, R. 1999 "Emergence of scaling in random networks," Science 286, 509-512.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.1    Albert, R.2
  • 3
    • 13444256385 scopus 로고    scopus 로고
    • A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach
    • Cao, J. & Ho, D. 2005 "A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach," Chaos Solit. Fract. 24, 1317-1329.
    • (2005) Chaos Solit. Fract. , vol.24 , pp. 1317-1329
    • Cao, J.1    Ho, D.2
  • 4
    • 41649121303 scopus 로고    scopus 로고
    • Global synchronization in an array of delayed neural networks with hybrid coupling
    • Cao, J., Chen, G. & Li, P. 2008 "Global synchronization in an array of delayed neural networks with hybrid coupling," IEEE Trans. Syst. Man Cybern. Part B 38, 488-498.
    • (2008) IEEE Trans. Syst. Man Cybern. Part B , vol.38 , pp. 488-498
    • Cao, J.1    Chen, G.2    Li, P.3
  • 5
    • 9644256479 scopus 로고    scopus 로고
    • Global synchronization of coupled delayed neural networks and applications to chaotic CNN models
    • Chen, G., Zhou, J. & Liu, Z. 2004 "Global synchronization of coupled delayed neural networks and applications to chaotic CNN models," Int. J. Bifurcation and Chaos 14, 2229-2240.
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 2229-2240
    • Chen, G.1    Zhou, J.2    Liu, Z.3
  • 6
    • 34250825295 scopus 로고    scopus 로고
    • Pinning complex networks by a single controller
    • Chen, T., Liu, X. & Lu,W. 2007 "Pinning complex networks by a single controller," IEEE Trans. Circuits Syst.-I 54, 1317-1326.
    • (2007) IEEE Trans. Circuits Syst.-I , vol.54 , pp. 1317-1326
    • Chen, T.1    Liu, X.2    Lu, W.3
  • 8
    • 0034228894 scopus 로고    scopus 로고
    • Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication
    • Fischer, I., Liu, Y. & Davis, P. 2000 "Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication," Phys. Rev. A 62, 011801.
    • (2000) Phys. Rev. A , vol.62 , pp. 011801
    • Fischer, I.1    Liu, Y.2    Davis, P.3
  • 9
    • 33750464493 scopus 로고    scopus 로고
    • New criteria for synchronization stability of general complex dynamical networks with coupling delays
    • Gao, H., Lam, J. & Chen, G. 2006 "New criteria for synchronization stability of general complex dynamical networks with coupling delays," Phys. Lett. A 360, 263-273.
    • (2006) Phys. Lett. A , vol.360 , pp. 263-273
    • Gao, H.1    Lam, J.2    Chen, G.3
  • 10
    • 33750069406 scopus 로고    scopus 로고
    • Synchronization and structure in an adaptive oscillator network
    • Gleiser, P. & Zanette, D. 2006 "Synchronization and structure in an adaptive oscillator network," The Europ. Phys. J. B 53, 233-238.
    • (2006) The Europ. Phys. J. B , vol.53 , pp. 233-238
    • Gleiser, P.1    Zanette, D.2
  • 11
    • 77955664759 scopus 로고    scopus 로고
    • Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control
    • Guan, Z., Liu, Z., Feng, G. & Wang, Y. 2010 "Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control," IEEE Trans. Circuits Syst.-I 57, 2182-2195.
    • (2010) IEEE Trans. Circuits Syst.-I , vol.57 , pp. 2182-2195
    • Guan, Z.1    Liu, Z.2    Feng, G.3    Wang, Y.4
  • 12
    • 0036500993 scopus 로고    scopus 로고
    • Systems biology: A brief overview
    • Kitano, H. 2002 "Systems biology: A brief overview," Science 295, 1662-1664.
    • (2002) Science , vol.295 , pp. 1662-1664
    • Kitano, H.1
  • 14
    • 7444271638 scopus 로고    scopus 로고
    • Pinning a complex dynamical network to its equilibrium
    • Li, X., Wang, X. & Chen, G. 2004 "Pinning a complex dynamical network to its equilibrium," IEEE Trans. Circuits Syst.-I 51, 2074-2087.
    • (2004) IEEE Trans. Circuits Syst.-I , vol.51 , pp. 2074-2087
    • Li, X.1    Wang, X.2    Chen, G.3
  • 15
    • 23144437350 scopus 로고    scopus 로고
    • Robust impulsive synchronization of uncertain dynamical networks
    • Liu, B., Liu, X., Chen, G. & Wang, H. 2005 "Robust impulsive synchronization of uncertain dynamical networks," IEEE Trans. Circuits Syst.-I 52, 1431-1441.
    • (2005) IEEE Trans. Circuits Syst.-I , vol.52 , pp. 1431-1441
    • Liu, B.1    Liu, X.2    Chen, G.3    Wang, H.4
  • 16
    • 79951655585 scopus 로고    scopus 로고
    • Controllability for a class of linear time-varying impulsive systems with time delay in control input
    • Liu, Y. & Zhao, S. 2011 "Controllability for a class of linear time-varying impulsive systems with time delay in control input," IEEE Trans. Autom. Contr. 99, 395-399.
    • (2011) IEEE Trans. Autom. Contr. , vol.99 , pp. 395-399
    • Liu, Y.1    Zhao, S.2
  • 17
    • 0037013883 scopus 로고    scopus 로고
    • Chaotic attractors in delayed neural networks
    • Lu, H. 2002 "Chaotic attractors in delayed neural networks," Phys. Lett. A 298, 109-116.
    • (2002) Phys. Lett. A , vol.298 , pp. 109-116
    • Lu, H.1
  • 18
    • 59049093864 scopus 로고    scopus 로고
    • Synchronization in an array of nonlinearly coupled chaotic neural networks with delay coupling
    • Lu, J., Ho, D. & Cao, J. 2008 "Synchronization in an array of nonlinearly coupled chaotic neural networks with delay coupling," Int. J. Bifurcation and Chaos 18, 3101-3111.
    • (2008) Int. J. Bifurcation and Chaos , vol.18 , pp. 3101-3111
    • Lu, J.1    Ho, D.2    Cao, J.3
  • 19
    • 75449095446 scopus 로고    scopus 로고
    • Consensus over directed static networks with arbitrary communication delays
    • Lu, J., Ho, D. & Kurths, J. 2009a "Consensus over directed static networks with arbitrary communication delays," Phys. Rev. E 80, 066121.
    • (2009) Phys. Rev. E , vol.80 , pp. 066121
    • Lu, J.1    Ho, D.2    Kurths, J.3
  • 20
    • 70350347096 scopus 로고    scopus 로고
    • Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers
    • Lu, J., Ho, D. & Wang, Z. 2009b "Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers," IEEE Trans. Neural Netw. 20, 1617-1629.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , pp. 1617-1629
    • Lu, J.1    Ho, D.2    Wang, Z.3
  • 21
    • 67650733229 scopus 로고    scopus 로고
    • Exponential stabilization in switched stochastic dynamical networks
    • Lu, J., Ho, D. & Wu, L. 2009c "Exponential stabilization in switched stochastic dynamical networks," Nonlinearity 22, 889-911.
    • (2009) Nonlinearity , vol.22 , pp. 889-911
    • Lu, J.1    Ho, D.2    Wu, L.3
  • 22
    • 78049289886 scopus 로고    scopus 로고
    • A unified synchronization criterion for impulsive dynamical networks
    • Lu, J., Ho, D. & Cao, J. 2010 "A unified synchronization criterion for impulsive dynamical networks," Automatica 46, 1215-1221.
    • (2010) Automatica , vol.46 , pp. 1215-1221
    • Lu, J.1    Ho, D.2    Cao, J.3
  • 23
    • 79955524936 scopus 로고    scopus 로고
    • Stabilization of complex dynamical networks with noise perturbation under performance constraint," Nonlin. Anal
    • Lu, J. & Ho, D. 2011 "Stabilization of complex dynamical networks with noise perturbation under performance constraint," Nonlin. Anal.: Real World Appl. 12, 1974-1984.
    • (2011) Real World Appl , vol.12 , pp. 1974-1984
    • Lu, J.1    Ho, D.2
  • 24
    • 79951674026 scopus 로고    scopus 로고
    • Exponential synchronization of linearly coupled neural networks with impulsive disturbances
    • Lu, J., Ho, D., Cao, J. & Kurths, J. 2011 "Exponential synchronization of linearly coupled neural networks with impulsive disturbances," IEEE Trans. Neural Netw. 22, 329-335.
    • (2011) IEEE Trans. Neural Netw. , vol.22 , pp. 329-335
    • Lu, J.1    Ho, D.2    Cao, J.3    Kurths, J.4
  • 25
    • 39849094915 scopus 로고    scopus 로고
    • Further results on stabilization of periodic trajectories for a chemostat with two species
    • Mazenc, F., Malisoff, M. & Harmand, J. 2008 "Further results on stabilization of periodic trajectories for a chemostat with two species," IEEE Trans. Autom. Contr. 53, 66-74.
    • (2008) IEEE Trans. Autom. Contr. , vol.53 , pp. 66-74
    • Mazenc, F.1    Malisoff, M.2    Harmand, J.3
  • 26
    • 13444278557 scopus 로고    scopus 로고
    • Enhancing complex-network synchronization
    • Motter, A., Zhou, C. & Kurths, J. 2005 "Enhancing complex-network synchronization," Europhys. Lett. 69, 334-340.
    • (2005) Europhys. Lett. , vol.69 , pp. 334-340
    • Motter, A.1    Zhou, C.2    Kurths, J.3
  • 27
    • 0033487710 scopus 로고    scopus 로고
    • Scaling and percolation in the small-world network model
    • Newman, M. & Watts, D. 1999 "Scaling and percolation in the small-world network model," Phys. Rev. E 60, 7332-7342.
    • (1999) Phys. Rev. E , vol.60 , pp. 7332-7342
    • Newman, M.1    Watts, D.2
  • 28
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time-delays
    • Olfati-Saber, R. & Murray, R. 2004 "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Contr. 49, 1520-1533.
    • (2004) IEEE Trans. Autom. Contr. , vol.49 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.2
  • 29
    • 60349089317 scopus 로고    scopus 로고
    • Synchronizability of chaotic logistic maps in delayed complex networks
    • Ponce, C. M., Masoller, C. & Mart'i, A. 2009 "Synchronizability of chaotic logistic maps in delayed complex networks," The Europ. Phys. J. B 67, 83-93.
    • (2009) The Europ. Phys. J. B , vol.67 , pp. 83-93
    • Ponce, C.M.1    Masoller, C.2    Mart'i, A.3
  • 32
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • Strogatz, S. 2001 "Exploring complex networks," Nature 410, 268-276.
    • (2001) Nature , vol.410 , pp. 268-276
    • Strogatz, S.1
  • 33
    • 77952554357 scopus 로고    scopus 로고
    • Impulsive pinning synchronization of stochastic discretetime networks
    • Tang, Y., Leung, S.,Wong,W. & Fang, J. 2010 "Impulsive pinning synchronization of stochastic discretetime networks," Neurocomputing 73, 2132-2139.
    • (2010) Neurocomputing , vol.73 , pp. 2132-2139
    • Tang, Y.1    Leung, S.2    Wong, W.3    Fang, J.4
  • 34
    • 79955701896 scopus 로고    scopus 로고
    • Pinning impulsive synchronization of stochastic delayed coupled networks
    • Tang, Y., Wong, W., Fang, J. & Miao, Q. 2011 "Pinning impulsive synchronization of stochastic delayed coupled networks," Chinese Phys. B 20, 040513.
    • (2011) Chinese Phys. B , vol.20 , pp. 040513
    • Tang, Y.1    Wong, W.2    Fang, J.3    Miao, Q.4
  • 35
    • 40449084757 scopus 로고    scopus 로고
    • Adaptive synchronization of weighted complex dynamical networks through pinning
    • Wang, L., Dai, H., Dong, H., Cao, Y. & Sun, Y. 2008 "Adaptive synchronization of weighted complex dynamical networks through pinning," The Europ. Phys. J. B 61, 335-342.
    • (2008) The Europ. Phys. J. B , vol.61 , pp. 335-342
    • Wang, L.1    Dai, H.2    Dong, H.3    Cao, Y.4    Sun, Y.5
  • 36
    • 0036340313 scopus 로고    scopus 로고
    • Synchronization in smallworld dynamical networks
    • Wang, X. & Chen, G. 2002 "Synchronization in smallworld dynamical networks," Int. J. Bifurcation and Chaos 12, 187-192.
    • (2002) Int. J. Bifurcation and Chaos , vol.12 , pp. 187-192
    • Wang, X.1    Chen, G.2
  • 37
    • 73949136715 scopus 로고    scopus 로고
    • Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays
    • Wang, Z., Wang, Y. & Liu, Y. 2010 "Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays," IEEE Trans. Neural Netw. 21, 11-25.
    • (2010) IEEE Trans. Neural Netw. , vol.21 , pp. 11-25
    • Wang, Z.1    Wang, Y.2    Liu, Y.3
  • 40
    • 34548267183 scopus 로고    scopus 로고
    • Stability analysis and design of impulsive control systems with time delay
    • Yang, Z. & Xu, D. 2007 "Stability analysis and design of impulsive control systems with time delay," IEEE Trans. Autom. Contr. 52, 1448-1454.
    • (2007) IEEE Trans. Autom. Contr. , vol.52 , pp. 1448-1454
    • Yang, Z.1    Xu, D.2
  • 41
    • 58349088745 scopus 로고    scopus 로고
    • On pinning synchronization of complex dynamical networks
    • Yu, W., Chen, G. & Lü, J. 2009 "On pinning synchronization of complex dynamical networks," Automatica 45, 429-435.
    • (2009) Automatica , vol.45 , pp. 429-435
    • Yu, W.1    Chen, G.2    Lü, J.3
  • 42
    • 77952582245 scopus 로고    scopus 로고
    • Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control
    • Zhang, H., Ma, T., Huang, G. & Wang, Z. 2010 "Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control," IEEE Trans. Syst. Man Cybern. Part B 40, 831-844.
    • (2010) IEEE Trans. Syst. Man Cybern. Part B , vol.40 , pp. 831-844
    • Zhang, H.1    Ma, T.2    Huang, G.3    Wang, Z.4
  • 43
    • 54749148714 scopus 로고    scopus 로고
    • Adaptive feedback synchronization of a general complex dynamical network with delayed nodes
    • Zhang, Q., Lu, J., Lu, J. & Tse, C. 2008 "Adaptive feedback synchronization of a general complex dynamical network with delayed nodes," IEEE Trans. Circuits Syst.-II 55, 183-187.
    • (2008) IEEE Trans. Circuits Syst.-II , vol.55 , pp. 183-187
    • Zhang, Q.1    Lu, J.2    Lu, J.3    Tse, C.4


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