메뉴 건너뛰기




Volumn 73, Issue 4-6, 2010, Pages 809-819

Synchronization stability of continuous/discrete complex dynamical networks with interval time-varying delays

Author keywords

Continuous discrete complex dynamical networks; Interval time varying delay; Linear matrix inequality (LMI); Synchronization

Indexed keywords

ANALYSIS METHOD; COMPLEX DYNAMICAL NETWORKS; DELAY-DEPENDENT; FREE-WEIGHTING MATRIX METHOD; INTERVAL TIME-VARYING DELAYS; LINEAR MATRIX INEQUALITY (LMI); LOWER AND UPPER BOUNDS; LYAPUNOV FUNCTIONALS; MATRIX FUNCTIONS; NUMERICAL EXAMPLE; PIECE-WISE; SUB-INTERVAL; SUBINTERVALS; SYNCHRONIZATION PROBLEM; SYNCHRONIZATION STABILITY; TIME-VARYING DELAY;

EID: 75749148725     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2009.10.008     Document Type: Article
Times cited : (92)

References (35)
  • 1
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert R., and Barabási A. Statistical mechanics of complex networks. Reviews of Modern Physics 74 1 (2002) 47-97
    • (2002) Reviews of Modern Physics , vol.74 , Issue.1 , pp. 47-97
    • Albert, R.1    Barabási, A.2
  • 2
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • S. Strogatz, Exploring complex networks, Nature 410 (6825) (2001) 268-276.
    • (2001) Nature , vol.410 , Issue.6825 , pp. 268-276
    • Strogatz, S.1
  • 3
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of'small-world' networks
    • Watts D., and Strogatz S. Collective dynamics of'small-world' networks. Nature (London) 393 6684 (1998) 440-442
    • (1998) Nature (London) , vol.393 , Issue.6684 , pp. 440-442
    • Watts, D.1    Strogatz, S.2
  • 4
    • 0942276880 scopus 로고    scopus 로고
    • Complex networks: small-world, scale-free and beyond
    • Wang X., and Chen G. Complex networks: small-world, scale-free and beyond. Circuits and Systems Magazine, IEEE 3 1 (2003) 6-20
    • (2003) Circuits and Systems Magazine, IEEE , vol.3 , Issue.1 , pp. 6-20
    • Wang, X.1    Chen, G.2
  • 5
    • 33645876794 scopus 로고    scopus 로고
    • Global synchronization in arrays of delayed neural networks with constant and delayed coupling
    • Cao J., Li P., and Wang W. Global synchronization in arrays of delayed neural networks with constant and delayed coupling. Physics Letters A 353 4 (2006) 318-325
    • (2006) Physics Letters A , vol.353 , Issue.4 , pp. 318-325
    • Cao, J.1    Li, P.2    Wang, W.3
  • 7
    • 33750464493 scopus 로고    scopus 로고
    • New criteria for synchronization stability of general complex dynamical networks with coupling delays
    • Gao H., Lam J., and Chen G. New criteria for synchronization stability of general complex dynamical networks with coupling delays. Physics Letters A 360 2 (2006) 263-273
    • (2006) Physics Letters A , vol.360 , Issue.2 , pp. 263-273
    • Gao, H.1    Lam, J.2    Chen, G.3
  • 8
    • 20444473127 scopus 로고    scopus 로고
    • Global robust stability for delayed neural networks with polytopic type uncertainties
    • He Y., Wang Q., and Zheng W. Global robust stability for delayed neural networks with polytopic type uncertainties. Chaos, Solitons and Fractals 26 5 (2005) 1349-1354
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.5 , pp. 1349-1354
    • He, Y.1    Wang, Q.2    Zheng, W.3
  • 9
    • 42749106019 scopus 로고    scopus 로고
    • Delay-induced synchronization phenomena in an array of globally coupled logistic maps
    • Martí A., and Masoller C. Delay-induced synchronization phenomena in an array of globally coupled logistic maps. Physical Review E 67 5 (2003) 56219
    • (2003) Physical Review E , vol.67 , Issue.5 , pp. 56219
    • Martí, A.1    Masoller, C.2
  • 10
    • 2542431567 scopus 로고    scopus 로고
    • Delays, connection topology, and synchronization of coupled chaotic maps
    • Atay F., Jost J., and Wende A. Delays, connection topology, and synchronization of coupled chaotic maps. Physical Review Letters 92 14 (2004) 144101
    • (2004) Physical Review Letters , vol.92 , Issue.14 , pp. 144101
    • Atay, F.1    Jost, J.2    Wende, A.3
  • 12
    • 43049088745 scopus 로고    scopus 로고
    • Exponential synchronization of complex networks with Markovian jump and mixed delays
    • Liu Y., Wang Z., and Liu X. Exponential synchronization of complex networks with Markovian jump and mixed delays. Physics Letters A 372 22 (2008) 3986-3998
    • (2008) Physics Letters A , vol.372 , Issue.22 , pp. 3986-3998
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 13
    • 52349098268 scopus 로고    scopus 로고
    • Synchronization and state estimation for discrete-time complex networks with distributed delays
    • Liu Y., Wang Z., Liang J., and Liu X. Synchronization and state estimation for discrete-time complex networks with distributed delays. IEEE Transactions on Systems, Man and Cybernetics, Part B 38 5 (2008) 1314-1325
    • (2008) IEEE Transactions on Systems, Man and Cybernetics, Part B , vol.38 , Issue.5 , pp. 1314-1325
    • Liu, Y.1    Wang, Z.2    Liang, J.3    Liu, X.4
  • 15
    • 21344466279 scopus 로고    scopus 로고
    • A time-varying complex dynamical network model and its controlled synchronization criteria
    • Lu J., and Chen G. A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Transactions on Automatic Control 50 6 (2005) 841-846
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.6 , pp. 841-846
    • Lu, J.1    Chen, G.2
  • 16
    • 4544287125 scopus 로고    scopus 로고
    • Synchronization in general complex dynamical networks with coupling delays
    • Li C., and Chen G. Synchronization in general complex dynamical networks with coupling delays. Physica A: Statistical Mechanics and its Applications 343 (2004) 263-278
    • (2004) Physica A: Statistical Mechanics and its Applications , vol.343 , pp. 263-278
    • Li, C.1    Chen, G.2
  • 17
    • 33745225415 scopus 로고    scopus 로고
    • Global synchronization of a class of delayed complex networks
    • Li P., Yi Z., and Zhang L. Global synchronization of a class of delayed complex networks. Chaos, Solitons and Fractals 30 4 (2006) 903-908
    • (2006) Chaos, Solitons and Fractals , vol.30 , Issue.4 , pp. 903-908
    • Li, P.1    Yi, Z.2    Zhang, L.3
  • 18
    • 34548608871 scopus 로고    scopus 로고
    • Synchronization in random networks with given expected degree sequences
    • Checco P., Biey M., and Kocarev L. Synchronization in random networks with given expected degree sequences. Chaos, Solitons and Fractals 35 3 (2008) 562-577
    • (2008) Chaos, Solitons and Fractals , vol.35 , Issue.3 , pp. 562-577
    • Checco, P.1    Biey, M.2    Kocarev, L.3
  • 19
    • 34447097325 scopus 로고    scopus 로고
    • Synchronization criteria for a generalized complex delayed dynamical network model
    • Wang L., Dai H., and Sun Y. Synchronization criteria for a generalized complex delayed dynamical network model. Physica A: Statistical Mechanics and its Applications 383 2 (2007) 703-713
    • (2007) Physica A: Statistical Mechanics and its Applications , vol.383 , Issue.2 , pp. 703-713
    • Wang, L.1    Dai, H.2    Sun, Y.3
  • 20
    • 41649088987 scopus 로고    scopus 로고
    • Synchronization analysis of delayed complex networks with time-varying couplings
    • P. Li, Z. Yi, Synchronization analysis of delayed complex networks with time-varying couplings, Physica A: Statistical Mechanics and its Applications 387 (14) (2008) 3729-3737
    • (2008) Physica A: Statistical Mechanics and its Applications , vol.387 , Issue.14 , pp. 3729-3737
    • Li, P.1    Yi, Z.2
  • 21
    • 40949158827 scopus 로고    scopus 로고
    • Local and global synchronization in general complex dynamical networks with delay coupling
    • Lu J., and Ho D. Local and global synchronization in general complex dynamical networks with delay coupling. Chaos, Solitons and Fractals 37 5 (2008) 1497-1510
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.5 , pp. 1497-1510
    • Lu, J.1    Ho, D.2
  • 22
    • 67650863484 scopus 로고    scopus 로고
    • Global synchronization for delayed complex networks with randomly occurring nonlinearities and multiple stochastic disturbances
    • Wang Y., Wang Z., and Liang J. Global synchronization for delayed complex networks with randomly occurring nonlinearities and multiple stochastic disturbances. Journal of Physics A: Mathematical and Theoretical 42 13 (2009) 135101
    • (2009) Journal of Physics A: Mathematical and Theoretical , vol.42 , Issue.13 , pp. 135101
    • Wang, Y.1    Wang, Z.2    Liang, J.3
  • 23
    • 56449106456 scopus 로고    scopus 로고
    • Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks
    • Liang J., Wang Z., Liu Y., and Liu X. Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Transactions on Neural Networks 19 11 (2008) 1910-1921
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.11 , pp. 1910-1921
    • Liang, J.1    Wang, Z.2    Liu, Y.3    Liu, X.4
  • 24
    • 44149125249 scopus 로고    scopus 로고
    • Synchronization criteria for complex dynamical networks with neutral-type coupling delay
    • Y. Dai, Y. Cai, X. Xu, Synchronization criteria for complex dynamical networks with neutral-type coupling delay, Physica A: Statistical Mechanics and its Applications 387 (18) (2008) 4673-4682
    • (2008) Physica A: Statistical Mechanics and its Applications , vol.387 , Issue.18 , pp. 4673-4682
    • Dai, Y.1    Cai, Y.2    Xu, X.3
  • 25
    • 40949160176 scopus 로고    scopus 로고
    • A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay
    • Mou S., Gao H., Lam J., and Qiang W. A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay. IEEE Transactions on Neural Networks 19 3 (2008) 532-535
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.3 , pp. 532-535
    • Mou, S.1    Gao, H.2    Lam, J.3    Qiang, W.4
  • 26
    • 47249096198 scopus 로고    scopus 로고
    • Further improvement on synchronization stability of complex networks with coupling delays
    • Mou S. Further improvement on synchronization stability of complex networks with coupling delays. International Journal of Computer Mathematics 85 8 (2008) 1255-1263
    • (2008) International Journal of Computer Mathematics , vol.85 , Issue.8 , pp. 1255-1263
    • Mou, S.1
  • 28
    • 56049109268 scopus 로고    scopus 로고
    • Synchronization stability of general complex dynamical networks with time-varying delays
    • K. Li, S. Guan, X. Gong, C. Lai, Synchronization stability of general complex dynamical networks with time-varying delays, Physics Letters A 372 (48) (2008) 7133-7139
    • (2008) Physics Letters A , vol.372 , Issue.48 , pp. 7133-7139
    • Li, K.1    Guan, S.2    Gong, X.3    Lai, C.4
  • 29
    • 0012716497 scopus 로고    scopus 로고
    • Delay-dependent stability and H control: constant and time-varying delays
    • Fridman E., and Shaked U. Delay-dependent stability and H control: constant and time-varying delays. International Journal of Control 76 1 (2003) 48-60
    • (2003) International Journal of Control , vol.76 , Issue.1 , pp. 48-60
    • Fridman, E.1    Shaked, U.2
  • 30
    • 0032665002 scopus 로고    scopus 로고
    • A delay-dependent stability criterion for systems with uncertain time-invariant delays
    • Park P. A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Transactions on Automatic Control 44 4 (1999) 876-877
    • (1999) IEEE Transactions on Automatic Control , vol.44 , Issue.4 , pp. 876-877
    • Park, P.1
  • 31
    • 0035922479 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain state-delayed systems
    • Moon Y., Park P., Kwon W., and Lee Y. Delay-dependent robust stabilization of uncertain state-delayed systems. International Journal of Control 74 14 (2001) 1447-1455
    • (2001) International Journal of Control , vol.74 , Issue.14 , pp. 1447-1455
    • Moon, Y.1    Park, P.2    Kwon, W.3    Lee, Y.4
  • 32
    • 0346724497 scopus 로고    scopus 로고
    • Robust stabilization of uncertain systems with unknown input delay
    • Yue D. Robust stabilization of uncertain systems with unknown input delay. Automatica 40 2 (2004) 331-336
    • (2004) Automatica , vol.40 , Issue.2 , pp. 331-336
    • Yue, D.1
  • 33
    • 27544472389 scopus 로고    scopus 로고
    • Delayed feedback control of uncertain systems with time-varying input delay
    • Yue D., and Han Q. Delayed feedback control of uncertain systems with time-varying input delay. Automatica 41 2 (2005) 233-240
    • (2005) Automatica , vol.41 , Issue.2 , pp. 233-240
    • Yue, D.1    Han, Q.2
  • 34
    • 0030108725 scopus 로고    scopus 로고
    • Output feedback H control of systems with parameter uncertainty
    • Xie L. Output feedback H control of systems with parameter uncertainty. International Journal of Control 63 4 (1996) 741-750
    • (1996) International Journal of Control , vol.63 , Issue.4 , pp. 741-750
    • Xie, L.1
  • 35
    • 33751395647 scopus 로고    scopus 로고
    • Pinning control of weighted general complex dynamical networks with time delay
    • Liu Z., Chen Z., and Yuan Z. Pinning control of weighted general complex dynamical networks with time delay. Physica A: Statistical Mechanics and its Applications 375 1 (2007) 345-354
    • (2007) Physica A: Statistical Mechanics and its Applications , vol.375 , Issue.1 , pp. 345-354
    • Liu, Z.1    Chen, Z.2    Yuan, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.