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Volumn 38, Issue 2, 2008, Pages 488-498

Global synchronization in an array of delayed neural networks with hybrid coupling

Author keywords

Delayed neural network; Distributed delay coupling; Global exponential synchronization; Hybrid coupling; Kronecker product; Lyapunov Krasovskii functional

Indexed keywords

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MATRIX ALGEBRA; SYNCHRONIZATION;

EID: 41649121303     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2007.914705     Document Type: Article
Times cited : (349)

References (36)
  • 1
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • Jul
    • M. A. Cohen and S. Grossberg, "Absolute stability and global pattern formation and parallel memory storage by competitive neural networks," IEEE Trans. Syst., Man, Cybern., vol. 13, no. 7, pp. 815-826, Jul. 1983.
    • (1983) IEEE Trans. Syst., Man, Cybern , vol.13 , Issue.7 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 2
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • J. J. Hopfield, "Neurons with graded response have collective computational properties like those of two-state neurons," Proc. Nat. Acad. Sci. U.S.A., vol. 81, pp. 3088-3092, 1984.
    • (1984) Proc. Nat. Acad. Sci. U.S.A , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 3
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delays
    • C. M. Marcus and R. M. Westervelt, "Stability of analog neural networks with delays," Phys. Rev. A, Gen. Phys., vol. 39, no. 1, pp. 347-359, 1989.
    • (1989) Phys. Rev. A, Gen. Phys , vol.39 , Issue.1 , pp. 347-359
    • Marcus, C.M.1    Westervelt, R.M.2
  • 4
    • 0033730279 scopus 로고    scopus 로고
    • On the global asymptotic stability of delayed cellular neural networks
    • May
    • S. Arik and V. Tavsanoglu, "On the global asymptotic stability of delayed cellular neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 5, pp. 571-574, May 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.47 , Issue.5 , pp. 571-574
    • Arik, S.1    Tavsanoglu, V.2
  • 5
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Jan
    • J. Cao and J. Wang, "Global asymptotic stability of a general class of recurrent neural networks with time-varying delays," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 1, pp. 34-44, Jan. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 6
    • 24344504017 scopus 로고    scopus 로고
    • On global asymptotic stability of neural networks with discrete and distributed delays
    • Z. Wang, Y. Liu, and X. Liu, "On global asymptotic stability of neural networks with discrete and distributed delays," Phys. Lett. A, vol. 345, no. 4-6, pp. 299-308, 2005.
    • (2005) Phys. Lett. A , vol.345 , Issue.4-6 , pp. 299-308
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 7
    • 33646371219 scopus 로고    scopus 로고
    • Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays
    • Z. Wang, Y. Liu, K. Fraser, and X. Liu, "Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays," Phys. Lett. A, vol. 354, no. 4, pp. 288-297, 2006.
    • (2006) Phys. Lett. A , vol.354 , Issue.4 , pp. 288-297
    • Wang, Z.1    Liu, Y.2    Fraser, K.3    Liu, X.4
  • 8
    • 33646512597 scopus 로고    scopus 로고
    • Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
    • May
    • Z. Wang, Y. Liu, M. Li, and X. Liu, "Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays," IEEE Trans. Neural Netw., vol. 17, no. 3, pp. 814-820, May 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.3 , pp. 814-820
    • Wang, Z.1    Liu, Y.2    Li, M.3    Liu, X.4
  • 9
    • 0034186952 scopus 로고    scopus 로고
    • Pattern recognition via synchronization in phase-locked loop neural networks
    • May
    • F. C. Hoppensteadt and E. M. Izhikevich, "Pattern recognition via synchronization in phase-locked loop neural networks," IEEE Trans. Neural Netw., vol. 11, no. 3, pp. 734-738, May 2000.
    • (2000) IEEE Trans. Neural Netw , vol.11 , Issue.3 , pp. 734-738
    • Hoppensteadt, F.C.1    Izhikevich, E.M.2
  • 11
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett., vol. 64, no. 8, pp. 821-824, 1990.
    • (1990) Phys. Rev. Lett , vol.64 , Issue.8 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 12
    • 0037013883 scopus 로고    scopus 로고
    • Chaotic attractors in delayed neural networks
    • Jun
    • H. Lu, "Chaotic attractors in delayed neural networks," Phys. Lett. A, vol. 298, no. 2/3, pp. 109-116, Jun. 2002.
    • (2002) Phys. Lett. A , vol.298 , Issue.2-3 , pp. 109-116
    • Lu, H.1
  • 13
    • 0000697741 scopus 로고
    • Chaos in random neural networks
    • H. Sompolinsky and A. Crisanti, "Chaos in random neural networks," Phys. Rev. Lett., vol. 61, no. 3, pp. 259-262, 1988.
    • (1988) Phys. Rev. Lett , vol.61 , Issue.3 , pp. 259-262
    • Sompolinsky, H.1    Crisanti, A.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
  • 15
    • 0001270918 scopus 로고
    • Chaos in an effective four neuron neural network
    • Dec
    • P. K. Das II, W. C. Schieve, and Z. J. Zeng, "Chaos in an effective four neuron neural network," Phys. Lett. A, vol. 161, no. 1, pp. 60-66, Dec. 1991.
    • (1991) Phys. Lett. A , vol.161 , Issue.1 , pp. 60-66
    • Das II, P.K.1    Schieve, W.C.2    Zeng, Z.J.3
  • 16
    • 0029358909 scopus 로고
    • Synchronization in an array of linearly coupled dynamical systems
    • Aug
    • C. W. Wu and L. O. Chua, "Synchronization in an array of linearly coupled dynamical systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 8, pp. 430-447, Aug. 1995.
    • (1995) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.42 , Issue.8 , pp. 430-447
    • Wu, C.W.1    Chua, L.O.2
  • 17
    • 21844492753 scopus 로고
    • Coexistence of low-and high-dimensional spatiotemporal chaos in a chain of dissipatively coupled Chua's circuits
    • A. L. Zheleznyak and L. O. Chua, "Coexistence of low-and high-dimensional spatiotemporal chaos in a chain of dissipatively coupled Chua's circuits," Int. J. Bifurc. Chaos, vol. 4, no. 3, pp. 639-674, 1994.
    • (1994) Int. J. Bifurc. Chaos , vol.4 , Issue.3 , pp. 639-674
    • Zheleznyak, A.L.1    Chua, L.O.2
  • 18
    • 0037301537 scopus 로고    scopus 로고
    • Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling
    • Feb
    • C. W. Wu, "Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 2, pp. 294-297, Feb. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.50 , Issue.2 , pp. 294-297
    • Wu, C.W.1
  • 19
    • 0036125429 scopus 로고    scopus 로고
    • Synchronization in scale-free dynamical networks: Robustness and fragility
    • Jan
    • X. F. Wang and G. Chen, "Synchronization in scale-free dynamical networks: Robustness and fragility," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 1, pp. 54-62, Jan. 2002.
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.49 , Issue.1 , pp. 54-62
    • Wang, X.F.1    Chen, G.2
  • 20
    • 4544287125 scopus 로고    scopus 로고
    • Synchronization in general complex dynamical networks with coupling delays
    • C. G. Li and G. Chen, "Synchronization in general complex dynamical networks with coupling delays," Phys. A, vol. 343, pp. 263-278, 2004.
    • (2004) Phys. A , vol.343 , pp. 263-278
    • Li, C.G.1    Chen, G.2
  • 21
    • 0037179029 scopus 로고    scopus 로고
    • Synchronization stability of three chaotic systems with linear coupling
    • Aug
    • T. S. Zhou, J. H. Lü, G. Chen, and Y. Tang, "Synchronization stability of three chaotic systems with linear coupling," Phys. Lett. A, vol. 301, no. 3/4, pp. 231-240, Aug. 2002.
    • (2002) Phys. Lett. A , vol.301 , Issue.3-4 , pp. 231-240
    • Zhou, T.S.1    Lü, J.H.2    Chen, G.3    Tang, Y.4
  • 22
    • 0942299306 scopus 로고    scopus 로고
    • Chaos synchronization of general complex dynamical networks
    • Mar
    • J. H. Lü, X. H. Yu, and G. Chen, "Chaos synchronization of general complex dynamical networks," Phys. A, vol. 334, no. 1/2, pp. 281-302, Mar. 2004.
    • (2004) Phys. A , vol.334 , Issue.1-2 , pp. 281-302
    • Lü, J.H.1    Yu, X.H.2    Chen, G.3
  • 23
    • 21344466279 scopus 로고    scopus 로고
    • A time-varying complex dynamical model and its controlled synchronization criteria
    • Jun
    • J. H. Lü and G. Chen, "A time-varying complex dynamical model and its controlled synchronization criteria," IEEE Trans. Autom. Control vol. 50, no. 6, pp. 841-846, Jun. 2005.
    • (2005) IEEE Trans. Autom. Control , vol.50 , Issue.6 , pp. 841-846
    • Lü, J.H.1    Chen, G.2
  • 24
    • 20444387888 scopus 로고    scopus 로고
    • Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling
    • May
    • C. W. Wu, "Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 5, pp. 282-286, May 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.5 , pp. 282-286
    • Wu, C.W.1
  • 25
    • 40949158827 scopus 로고    scopus 로고
    • Local and global synchronization in general complex dynamical networks with delay coupling
    • DOI:10.1016/j.chaos.2006.10.030
    • J. Q. Lu and D. W. C. Ho, "Local and global synchronization in general complex dynamical networks with delay coupling," Chaos, Solitons Fractals. DOI:10.1016/j.chaos.2006.10.030.
    • Chaos, Solitons Fractals
    • Lu, J.Q.1    Ho, D.W.C.2
  • 26
    • 10944223518 scopus 로고    scopus 로고
    • Synchronization of coupled connected neural networks with delays
    • Dec
    • W. L. Lu and T. P. Chen, "Synchronization of coupled connected neural networks with delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 12, pp. 2491-2503, Dec. 2004.
    • (2004) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.51 , Issue.12 , pp. 2491-2503
    • Lu, W.L.1    Chen, T.P.2
  • 27
    • 9644256479 scopus 로고    scopus 로고
    • Global synchronization of coupled delayed neural networks and applications to chaos CNN models
    • G. Chen, J. Zhou, and Z. R. Liu, "Global synchronization of coupled delayed neural networks and applications to chaos CNN models," Int. J. Bifurc. Chaos, vol. 14, no. 7, pp. 2229-2240, 2004.
    • (2004) Int. J. Bifurc. Chaos , vol.14 , Issue.7 , pp. 2229-2240
    • Chen, G.1    Zhou, J.2    Liu, Z.R.3
  • 28
    • 33645876794 scopus 로고    scopus 로고
    • Global synchronization in arrays of delayed neural networks with constant and delayed coupling
    • J. Cao, P. Li, and W. Wang, "Global synchronization in arrays of delayed neural networks with constant and delayed coupling," Phys. Lett. A, vol. 353, no. 4, pp. 318-325, 2006.
    • (2006) Phys. Lett. A , vol.353 , Issue.4 , pp. 318-325
    • Cao, J.1    Li, P.2    Wang, W.3
  • 29
    • 34548655347 scopus 로고    scopus 로고
    • Globally exponential synchronization in an array of asymmetric coupled neural networks
    • J. Q. Lu, D. W. C. Ho, and M. Liu, "Globally exponential synchronization in an array of asymmetric coupled neural networks," Phys. Lett. A, vol. 369, no. 5/6, pp. 444-451, 2007.
    • (2007) Phys. Lett. A , vol.369 , Issue.5-6 , pp. 444-451
    • Lu, J.Q.1    Ho, D.W.C.2    Liu, M.3
  • 30
    • 0023317858 scopus 로고
    • Neural computation by concentrating information in time
    • Apr
    • D. W. Tank and J. J. Hopfield, "Neural computation by concentrating information in time," Proc. Nat. Acad. Sci. U.S.A., vol. 84, no. 7, pp. 1896-1900, Apr. 1987.
    • (1987) Proc. Nat. Acad. Sci. U.S.A , vol.84 , Issue.7 , pp. 1896-1900
    • Tank, D.W.1    Hopfield, J.J.2
  • 31
    • 0026895542 scopus 로고
    • The gamma model - A new neural model for temporal processing
    • B. De Vries and J. C. Principe, "The gamma model - A new neural model for temporal processing," Neural Netw., vol. 5, no. 4, pp. 565-576, 1992.
    • (1992) Neural Netw , vol.5 , Issue.4 , pp. 565-576
    • De Vries, B.1    Principe, J.C.2
  • 32
    • 1842635257 scopus 로고    scopus 로고
    • Dynamics of a two-neuron system with discrete and distributed delays
    • S. G. Ruan and R. S. Filfil, "Dynamics of a two-neuron system with discrete and distributed delays," Phys. D, vol. 191, no. 3/4, pp. 323-342, 2004.
    • (2004) Phys. D , vol.191 , Issue.3-4 , pp. 323-342
    • Ruan, S.G.1    Filfil, R.S.2
  • 33
    • 33745124399 scopus 로고    scopus 로고
    • Global point dissipativity of neural networks with mixed time-varying delays
    • J. Cao, K. Yuan, D. W. C. Ho, and J. Lam, "Global point dissipativity of neural networks with mixed time-varying delays," Chaos, vol. 16, no. 1, p. 013105, 2006.
    • (2006) Chaos , vol.16 , Issue.1 , pp. 013105
    • Cao, J.1    Yuan, K.2    Ho, D.W.C.3    Lam, J.4
  • 34
    • 33646511197 scopus 로고    scopus 로고
    • Global exponential stability of generalized recurrent neural networks with discrete and distributed delays
    • Y. R. Liu, Z. D. Wang, and X. H. Liu, "Global exponential stability of generalized recurrent neural networks with discrete and distributed delays," Neural Netw., vol. 19, no. 5, pp. 667-675, 2006.
    • (2006) Neural Netw , vol.19 , Issue.5 , pp. 667-675
    • Liu, Y.R.1    Wang, Z.D.2    Liu, X.H.3
  • 36


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