메뉴 건너뛰기




Volumn 40, Issue 9, 2009, Pages 973-984

Robust synchronisation of delayed neural networks with both linear and Non-linear couplings

Author keywords

Coupling; Kronecker product; Linear matrix inequality; Matrix functional; Neural networks; Robust exponential synchronisation

Indexed keywords

COUPLED NEURAL NETWORKS; COUPLING MATRIX; DELAYED NEURAL NETWORKS; KRONECKER PRODUCT; LINEAR COUPLING; MATLAB LMI TOOLBOX; MATRIX; MATRIX FUNCTIONAL; MATRIX INEQUALITY; NONLINEAR COUPLING; ROBUST EXPONENTIAL SYNCHRONISATION; SUFFICIENT CONDITIONS; SYNCHRONISATION; SYSTEM MATRICES; UNCERTAIN NEURAL NETWORKS; UNCERTAIN PARAMETERS;

EID: 70349466604     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720902752173     Document Type: Article
Times cited : (25)

References (37)
  • 2
    • 33645675305 scopus 로고    scopus 로고
    • Adaptive synchronization of neural networks with or without time-varying delays
    • Cao, J., and Lu, J. (2006), 'Adaptive Synchronization of Neural Networks with or without Time-varying Delays', Chaos, 16, 013133.
    • (2006) Chaos , vol.16 , pp. 013133
    • Cao, J.1    Lu, J.2
  • 3
    • 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.W. (2006), 'Global Synchronization in Arrays of Delayed Neural Networks with Constant and Delayed Coupling', Physics Letters A, 353, 318-325.
    • (2006) Physics Letters A , vol.353 , pp. 318-325
    • Cao, J.1    Li, P.2    Wang, W.W.3
  • 5
    • 9644256479 scopus 로고    scopus 로고
    • Global synchronization of coupled delayed neural networks and applications to chaotic CNN models
    • Chen, G., Zhou, J., and Liu, Z.R. (2004), 'Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models', International Journal of Bifurcation and Chaos, 14(7), 2229-2240.
    • (2004) International Journal of Bifurcation and Chaos , vol.14 , Issue.7 , pp. 2229-2240
    • Chen, G.1    Zhou, J.2    Liu, Z.R.3
  • 7
    • 33645692121 scopus 로고    scopus 로고
    • Synchronization in uncertain complex networks
    • Chen, M., and Zhou, D. (2006), 'Synchronization in Uncertain Complex Networks', Chaos, 16, 013101.
    • (2006) Chaos , vol.16 , pp. 013101
    • Chen, M.1    Zhou, D.2
  • 8
    • 0036754107 scopus 로고    scopus 로고
    • Global stability of neural networks with distributed delays
    • Chen, Y. (2002), 'Global Stability of Neural Networks with Distributed Delays', Neural Networks, 15, 867-871.
    • (2002) Neural Networks , vol.15 , pp. 867-871
    • Chen, Y.1
  • 10
    • 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. (2006), 'New Criteria for Synchronization Stability of General Complex Dynamical Networks with Coupling Delays', Physics Letters A, 360, 263-273.
    • (2006) Physics Letters A , vol.360 , pp. 263-273
    • Gao, H.1    Lam, J.2    Chen, G.3
  • 11
    • 33947380617 scopus 로고    scopus 로고
    • New results on stability of discrete-time systems with time-varying state delay
    • DOI 10.1109/TAC.2006.890320
    • Gao, H., and Chen, T. (2007), 'New Results on Stability of Discrete-time Systems with Time-varying State Delay', IEEE Transactions on Automic Control, 52(2), 328-334. (Pubitemid 46444290)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.2 , pp. 328-334
    • Gao, H.1    Chen, T.2
  • 12
    • 0027701875 scopus 로고
    • Strange attractors in delayed cellular neural networks
    • Gilli, M. (1993), 'Strange Attractors in Delayed Cellular Neural Networks', IEEE Transactions on Circuits and Systems-I, 40(11), 849-853.
    • (1993) IEEE Transactions on Circuits and Systems-I , vol.40 , Issue.11 , pp. 849-853
    • Gilli, M.1
  • 13
    • 0001075269 scopus 로고
    • Stability in asymmetric hopfield nets with transmission delays
    • Gopalsamy, K., and He, X. (1994), 'Stability in Asymmetric Hopfield Nets with Transmission Delays', Physica D, 76, 344-358.
    • (1994) Physica D , vol.76 , pp. 344-358
    • Gopalsamy, K.1    He, X.2
  • 15
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with time-varying delay
    • He, Y., Liu, G., and Rees, D. (2007), 'New Delay-dependent Stability Criteria for Neural Networks with Time-varying Delay', IEEE Transactions on Neural Networks, 18(1), 310-314.
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.2    Rees, D.3
  • 16
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delay
    • DOI 10.1109/TCSII.2006.876385
    • He, Y., Wu, M., and She, J.H. (2006), 'Delay-dependent Exponential Stability of Delayed Neural Networks with Time-varying Delay', IEEE Transactions on Circuits and Systems-II, 53(7), 553-557. (Pubitemid 44111522)
    • (2006) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.53 , Issue.7 , pp. 553-557
    • He, Y.1    Wu, M.2    She, J.-H.3
  • 17
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-stage neurons
    • Hopfield, J.J. (1984), 'Neurons with Graded Response have Collective Computational Properties like those of Two-stage Neurons', Proceedings of the National Academic Science USA, 81, 3088-3092.
    • (1984) Proceedings of the National Academic Science USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 18
    • 0034186952 scopus 로고    scopus 로고
    • Pattern recognition via synchronization in phase locked loop neural networks
    • Hoppensteadt, F.C., and Izhikevich, E.M. (2000), 'Pattern Recognition via Synchronization in Phase Locked Loop Neural Networks', IEEE Transactions on Neural Networks, 11(3), 734-738.
    • (2000) IEEE Transactions on Neural Networks , vol.11 , Issue.3 , pp. 734-738
    • Hoppensteadt, F.C.1    Izhikevich, E.M.2
  • 19
    • 33846035831 scopus 로고    scopus 로고
    • Generalized synchronization for delayed chaotic neural networks: A novel coupling scheme
    • Huang, X., and Cao, J. (2006), 'Generalized Synchronization for Delayed Chaotic Neural Networks: a Novel Coupling Scheme', Nonlinearity, 19(12), 2797-2811.
    • (2006) Nonlinearity , vol.19 , Issue.12 , pp. 2797-2811
    • Huang, X.1    Cao, J.2
  • 20
    • 37649032132 scopus 로고    scopus 로고
    • Special properties and synchronization in coupled map lattices
    • Jost, J., and Joy, M. (2002), 'Special Properties and Synchronization in Coupled Map Lattices', Physical Review E, 65, 061201.
    • (2002) Physical Review e , vol.65 , pp. 061201
    • Jost, J.1    Joy, M.2
  • 21
    • 33748320984 scopus 로고    scopus 로고
    • Global synchronization and asymptotic stability of complex dynamical networks
    • DOI 10.1109/TCSII.2005.854315
    • Li, Z., and Chen, G. (2006), 'Global Synchronization and Asymptotic Stability of Complex Dynamical Networks', IEEE Transactions on Circuits and Systems-II, 53(1), 28-33. (Pubitemid 46511147)
    • (2006) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.53 , Issue.1 , pp. 28-33
    • Li, Z.1    Chen, G.2
  • 22
    • 33646511197 scopus 로고    scopus 로고
    • Global exponential stability of generalised recurrent neural networks with discrete and distributed delays
    • Liu, Y., Wang, Z., and Liu, X. (2006), 'Global Exponential Stability of Generalised Recurrent Neural Networks with Discrete and Distributed Delays', Neural Networks, 19(5), 667-675.
    • (2006) Neural Networks , vol.19 , Issue.5 , pp. 667-675
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 23
    • 0037013883 scopus 로고    scopus 로고
    • Chaotic attractors in delayed neural networks
    • Lu, H.T. (2002), 'Chaotic Attractors in Delayed Neural Networks', Physics Letters A, 298, 109-116.
    • (2002) Physics Letters A , vol.298 , pp. 109-116
    • Lu, H.T.1
  • 24
    • 10944223518 scopus 로고    scopus 로고
    • Synchronization of coupled connected neural networks with delays
    • Lu, W.L., and Chen, T.P. (2004), 'Synchronization of Coupled Connected Neural Networks with Delays', IEEE Transactions on Circuits and Systems-I, 51(12), 2491-2503.
    • (2004) IEEE Transactions on Circuits and Systems-I , vol.51 , Issue.12 , pp. 2491-2503
    • Lu, W.L.1    Chen, T.P.2
  • 26
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora, L.M., and Carroll, T.L. (1990), 'Synchronization in Chaotic Systems', Physical Review Letters, 64(8), 821-824.
    • (1990) Physical Review Letters , vol.64 , Issue.8 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 27
    • 0027562437 scopus 로고
    • Autowaves for Image processing on a two-dimensional cnn array of excitable non-linear circuits: Flat and wrinkled labyrinths
    • Perez-Munuzuri, V., Perez-Villar, V., and Chua, L.O. (1993), 'Autowaves for Image Processing on a Two-Dimensional CNN Array of Excitable Non-linear Circuits: Flat and Wrinkled Labyrinths', IEEE Transactions on Circuits and Systems-I, 40, 174-181.
    • (1993) IEEE Transactions on Circuits and Systems-I , vol.40 , pp. 174-181
    • Perez-Munuzuri, V.1    Perez-Villar, V.2    Chua, L.O.3
  • 29
    • 0036125429 scopus 로고    scopus 로고
    • Synchronization in scalefree dynamical networks: Robustness and fragility
    • Wang, X.-F., and Chen, G. (2002), 'Synchronization in Scalefree Dynamical Networks: Robustness and Fragility', IEEE Transactions on Circuits and Systems-I, 49(1), 54-62.
    • (2002) IEEE Transactions on Circuits and Systems-I , vol.49 , Issue.1 , pp. 54-62
    • Wang, X.-F.1    Chen, G.2
  • 30
    • 24344504017 scopus 로고    scopus 로고
    • On global asymptotic stability of neural networks with discrete and distributed delays
    • DOI 10.1016/j.physleta.2005.07.025, PII S0375960105011096
    • Wang, Z., Liu, Y., and Liu, X. (2005), 'On Global Asymptotic Stability of Neural Networks with Discrete and Distributed Delays', Physics Letters A, 345(4-6), 299-308. (Pubitemid 41262382)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.345 , Issue.4-6 , pp. 299-308
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 31
    • 33646512597 scopus 로고    scopus 로고
    • Stability analysis for stochastic cohen-grossberg neural networks with mixed time delays
    • Wang, Z., Liu, Y., Li, M., and Liu, X. (2006), 'Stability Analysis for Stochastic Cohen-Grossberg Neural Networks with Mixed Time Delays', IEEE Transactions on Neural Networks, 17(3), 814-820.
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.3 , pp. 814-820
    • Wang, Z.1    Liu, Y.2    Li, M.3    Liu, X.4
  • 32
    • 0029358909 scopus 로고
    • Synchronization in an array of linearly coupled dynamical systems
    • Wu, C.W., and Chua, L.O. (1995), 'Synchronization in an Array of Linearly Coupled Dynamical Systems', IEEE Transactions on Circuits and Systems-I, 42(8), 430-447.
    • (1995) IEEE Transactions on Circuits and Systems-I , vol.42 , Issue.8 , pp. 430-447
    • Wu, C.W.1    Chua, L.O.2
  • 33
    • 20444387888 scopus 로고    scopus 로고
    • Synchronization in arrays of coupled non-linear systems with delay and nonreciprocal timevarying coupling
    • Wu, C.W. (2005), 'Synchronization in Arrays of Coupled Non-linear Systems with Delay and Nonreciprocal Timevarying Coupling', IEEE Transactions on Circuits and Systems-II, 52(5), 282-286.
    • (2005) IEEE Transactions on Circuits and Systems-II , vol.52 , Issue.5 , pp. 282-286
    • Wu, C.W.1
  • 34
    • 21844492753 scopus 로고
    • Coexistence of lowand high-dimensional spatio-temporal chaos in a chain of dissipatively coupled Chua's circuits
    • Zheleznyak, A., and Chua, L.O. (1994), 'Coexistence of Lowand High-dimensional Spatio-temporal Chaos in a Chain of Dissipatively Coupled Chua's Circuits', International Journal of Bifurcation and Chaos, 4(3), 639-674.
    • (1994) International Journal of Bifurcation and Chaos , vol.4 , Issue.3 , pp. 639-674
    • Zheleznyak, A.1    Chua, L.O.2
  • 35
    • 1642373914 scopus 로고    scopus 로고
    • Absolutely exponential stability of a class of neural networks with unbounded delay
    • Zhang, J., Suda, Y., and Iwasa, T. (2004), 'Absolutely Exponential Stability of a Class of Neural Networks with Unbounded Delay', Neural Networks, 17(3), 391-397.
    • (2004) Neural Networks , vol.17 , Issue.3 , pp. 391-397
    • Zhang, J.1    Suda, Y.2    Iwasa, T.3
  • 36
    • 84990973667 scopus 로고    scopus 로고
    • Global stability of neural networks with distributed delays
    • Zhao, H.Y. (2003), 'Global Stability of Neural Networks with Distributed Delays', Physical Review E, 68, 051909.
    • (2003) Physical Review e , vol.68 , pp. 051909
    • Zhao, H.Y.1
  • 37
    • 33645810395 scopus 로고    scopus 로고
    • Synchronization in general complex delayed dynamical networks
    • Zhou, J., and Chen, T.P. (2006), 'Synchronization in General Complex Delayed Dynamical Networks', IEEE Transactions on Circuits and Systems-I, 53(3), 733-744
    • (2006) IEEE Transactions on Circuits and Systems-I , vol.53 , Issue.3 , pp. 733-744
    • Zhou, J.1    Chen, T.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.