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Volumn 31, Issue , 2012, Pages 1-11

Exponential synchronization for reaction-diffusion networks with mixed delays in terms of p-norm via intermittent driving

Author keywords

Diffusion effects; Exponential synchronization; Finite distributed delays; Intermittent control; Reaction diffusion neural networks

Indexed keywords

CHAOTIC NETWORK; CONTROL METHODS; CONTROL PARAMETERS; DIFFUSION EFFECTS; DIRICHLET BOUNDARY CONDITION; EXPONENTIAL SYNCHRONIZATION; FEASIBLE REGIONS; FINITE DISTRIBUTED DELAY; GLOBALLY EXPONENTIAL SYNCHRONIZATION; INTERMITTENT DRIVING; LYAPUNOV FUNCTIONALS; MIXED DELAYS; MULTIPARAMETERS; REACTION DIFFUSION; THEORETICAL RESULT;

EID: 84860285846     PISSN: 08936080     EISSN: 18792782     Source Type: Journal    
DOI: 10.1016/j.neunet.2012.02.038     Document Type: Article
Times cited : (77)

References (48)
  • 2
    • 33751217422 scopus 로고    scopus 로고
    • Stability for delayed reaction-diffusion neural networks
    • Allegretto W., Papini D. Stability for delayed reaction-diffusion neural networks. Physics Letters A 2007, 360:669-680.
    • (2007) Physics Letters A , vol.360 , pp. 669-680
    • Allegretto, W.1    Papini, D.2
  • 4
    • 81355147643 scopus 로고    scopus 로고
    • Synchronization of chaotic nonlinear continuous neural networks with time-varying delay
    • Balasubramaniam P., Chandran R., Jeeva Sathya Theesar S. Synchronization of chaotic nonlinear continuous neural networks with time-varying delay. Cognitive Neurodynamics 2011, 5:361-371.
    • (2011) Cognitive Neurodynamics , vol.5 , pp. 361-371
    • Balasubramaniam, P.1    Chandran, R.2    Jeeva Sathya Theesar, S.3
  • 5
    • 77955269312 scopus 로고    scopus 로고
    • Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction-diffusion terms
    • Balasubramaniam P., Vidhya C. Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction-diffusion terms. Journal of Computational and Applied Mathematics 2010, 234:3458-3466.
    • (2010) Journal of Computational and Applied Mathematics , vol.234 , pp. 3458-3466
    • Balasubramaniam, P.1    Vidhya, C.2
  • 7
    • 0035147986 scopus 로고    scopus 로고
    • Temporal binding and the neural correlates of sensory awareness
    • Engel A.K., Singer W. Temporal binding and the neural correlates of sensory awareness. Trends in Cognitive Sciences 2001, 5:16-25.
    • (2001) Trends in Cognitive Sciences , vol.5 , pp. 16-25
    • Engel, A.K.1    Singer, W.2
  • 8
    • 4244104642 scopus 로고
    • Dephasing and bursting in coupled neural oscillators
    • Han S., Kurrer C., Kuramoto Y. Dephasing and bursting in coupled neural oscillators. Physical Review Letters 1995, 75:3190-3193.
    • (1995) Physical Review Letters , vol.75 , pp. 3190-3193
    • Han, S.1    Kurrer, C.2    Kuramoto, Y.3
  • 9
    • 37549030169 scopus 로고    scopus 로고
    • Adaptive synchronization of a class of chaotic neural networks with known or unknown parameters
    • He W., Cao J. Adaptive synchronization of a class of chaotic neural networks with known or unknown parameters. Physics Letters A 2008, 372:408-416.
    • (2008) Physics Letters A , vol.372 , pp. 408-416
    • He, W.1    Cao, J.2
  • 10
    • 77950341418 scopus 로고    scopus 로고
    • Chaotic synchronization by intermittent feedback method
    • Huang T., Li C. Chaotic synchronization by intermittent feedback method. Computational and Applied Mathematics 2010, 234:1097-1104.
    • (2010) Computational and Applied Mathematics , vol.234 , pp. 1097-1104
    • Huang, T.1    Li, C.2
  • 11
    • 67649637279 scopus 로고    scopus 로고
    • Stabilization of delayed chaotic neural networks by periodically intermittent control
    • Huang J., Li C., Han Q. Stabilization of delayed chaotic neural networks by periodically intermittent control. Circuits Systems Signal Process 2009, 28:567-579.
    • (2009) Circuits Systems Signal Process , vol.28 , pp. 567-579
    • Huang, J.1    Li, C.2    Han, Q.3
  • 12
    • 54749136994 scopus 로고    scopus 로고
    • Sychronization of chaotic systems with delay using intermittent linear state feedback
    • Huang T., Li C., Liu X. Sychronization of chaotic systems with delay using intermittent linear state feedback. Chaos 2008, 18:033122.
    • (2008) Chaos , vol.18 , pp. 033122
    • Huang, T.1    Li, C.2    Liu, X.3
  • 13
    • 65249139966 scopus 로고    scopus 로고
    • Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback
    • Huang T., Li C., Yu W., Chen G. Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Nonlinearity 2009, 22:569-584.
    • (2009) Nonlinearity , vol.22 , pp. 569-584
    • Huang, T.1    Li, C.2    Yu, W.3    Chen, G.4
  • 14
    • 73949149433 scopus 로고    scopus 로고
    • Impulsive control and synchronization for delayed neural networks with reaction-diffusion terms
    • Hu C., Jiang H., Teng Z. Impulsive control and synchronization for delayed neural networks with reaction-diffusion terms. IEEE Transactions on Neural Networks 2010, 21:67-81.
    • (2010) IEEE Transactions on Neural Networks , vol.21 , pp. 67-81
    • Hu, C.1    Jiang, H.2    Teng, Z.3
  • 15
    • 0026886752 scopus 로고
    • Dynamic binding in a neural network for shape recognition
    • Hummel J.E., Biederman I. Dynamic binding in a neural network for shape recognition. Psychological Review 1992, 99:480-517.
    • (1992) Psychological Review , vol.99 , pp. 480-517
    • Hummel, J.E.1    Biederman, I.2
  • 16
    • 77954461076 scopus 로고    scopus 로고
    • Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control
    • Hu C., Yu J., Jiang H., Teng Z. Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. Chaos 2010, 20:023108.
    • (2010) Chaos , vol.20 , pp. 023108
    • Hu, C.1    Yu, J.2    Jiang, H.3    Teng, Z.4
  • 18
    • 4444267929 scopus 로고    scopus 로고
    • Oscillatory network with self-organized dynamical connections for synchronization-based image segmentation
    • Kuzmina M., Manykin E., Surina I. Oscillatory network with self-organized dynamical connections for synchronization-based image segmentation. BioSystems 2004, 76:43-53.
    • (2004) BioSystems , vol.76 , pp. 43-53
    • Kuzmina, M.1    Manykin, E.2    Surina, I.3
  • 19
    • 0034269262 scopus 로고    scopus 로고
    • Experimental analysis of chaotic neural network models for combinatorial optimization under a unifying framework
    • Kwok T., Smith K.A. Experimental analysis of chaotic neural network models for combinatorial optimization under a unifying framework. Neural Networks 2000, 13:731-744.
    • (2000) Neural Networks , vol.13 , pp. 731-744
    • Kwok, T.1    Smith, K.A.2
  • 20
    • 0041661956 scopus 로고    scopus 로고
    • Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
    • Liang J., Cao J. Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays. Physics Letters A 2003, 314:434-442.
    • (2003) Physics Letters A , vol.314 , pp. 434-442
    • Liang, J.1    Cao, J.2
  • 21
    • 58349087625 scopus 로고    scopus 로고
    • Stabilization of nonlinear systems via periodically intermittent control
    • Li C., Feng G., Liao X. Stabilization of nonlinear systems via periodically intermittent control. IEEE Transactions on Circuits and Systems-II 2007, 54:1019-1023.
    • (2007) IEEE Transactions on Circuits and Systems-II , vol.54 , pp. 1019-1023
    • Li, C.1    Feng, G.2    Liao, X.3
  • 22
    • 34047186882 scopus 로고    scopus 로고
    • Exponential stabilization of chaotic systems with delay by periodically intermittent control
    • Li C., Liao X., Huang T. Exponential stabilization of chaotic systems with delay by periodically intermittent control. Chaos 2007, 17:013103.
    • (2007) Chaos , vol.17 , pp. 013103
    • Li, C.1    Liao, X.2    Huang, T.3
  • 23
    • 74449088027 scopus 로고    scopus 로고
    • Delay-independent stability of stochastic reaction-diffusion neural networks with Dirichlet boundary conditions
    • Liu Z., Peng J. Delay-independent stability of stochastic reaction-diffusion neural networks with Dirichlet boundary conditions. Neural Computers & Applications 2010, 19:151-158.
    • (2010) Neural Computers & Applications , vol.19 , pp. 151-158
    • Liu, Z.1    Peng, J.2
  • 24
    • 39849111203 scopus 로고    scopus 로고
    • Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays
    • Liu P., Yi F., Guo Q., Yang J., Wu W. Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays. Physica D 2008, 237:475-485.
    • (2008) Physica D , vol.237 , pp. 475-485
    • Liu, P.1    Yi, F.2    Guo, Q.3    Yang, J.4    Wu, W.5
  • 25
    • 33846866254 scopus 로고    scopus 로고
    • Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays
    • Lou X., Cui B. Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays. Computers & Mathematics with Applications 2006, 52:897-904.
    • (2006) Computers & Mathematics with Applications , vol.52 , pp. 897-904
    • Lou, X.1    Cui, B.2
  • 26
    • 64749110386 scopus 로고    scopus 로고
    • Robust global exponential stability for interval reaction-diffusion Hopfield neural networks with distributed delays
    • Lu J. Robust global exponential stability for interval reaction-diffusion Hopfield neural networks with distributed delays. IEEE Transactions on Circuits and Systems II 2007, 54:1115-1119.
    • (2007) IEEE Transactions on Circuits and Systems II , vol.54 , pp. 1115-1119
    • Lu, J.1
  • 27
    • 34548525395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions
    • Lu J. Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Chaos, Solutions Fractals 2008, 35:116-125.
    • (2008) Chaos, Solutions Fractals , vol.35 , pp. 116-125
    • Lu, J.1
  • 28
    • 63449111514 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions
    • Lu J., Lu L. Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions. Chaos, Solutions Fractals 2009, 39:1538-1549.
    • (2009) Chaos, Solutions Fractals , vol.39 , pp. 1538-1549
    • Lu, J.1    Lu, L.2
  • 29
    • 0345986592 scopus 로고    scopus 로고
    • Synchronization of chaotic neural networks and applications to communications
    • Milanovic V., Zaghloul M. Synchronization of chaotic neural networks and applications to communications. International Journal of Bifurcation and Chaos 1996, 6:2571-2585.
    • (1996) International Journal of Bifurcation and Chaos , vol.6 , pp. 2571-2585
    • Milanovic, V.1    Zaghloul, M.2
  • 30
    • 77649187113 scopus 로고    scopus 로고
    • Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays
    • Pan J., Liu X., Zhong S. Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. Mathematical and Computer Modelling 2010, 51:1037-1050.
    • (2010) Mathematical and Computer Modelling , vol.51 , pp. 1037-1050
    • Pan, J.1    Liu, X.2    Zhong, S.3
  • 31
    • 64949086912 scopus 로고    scopus 로고
    • Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms
    • Sheng L., Yang H., Lou X. Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms. Chaos, Solutions Fractals 2009, 40:930-939.
    • (2009) Chaos, Solutions Fractals , vol.40 , pp. 930-939
    • Sheng, L.1    Yang, H.2    Lou, X.3
  • 32
    • 0038374928 scopus 로고    scopus 로고
    • Synchrony in the eye of the beholder: an analysis of the role of neural synchronization in cognitive processes
    • Velde F., Kamps M. Synchrony in the eye of the beholder: an analysis of the role of neural synchronization in cognitive processes. Brain and Mind 2002, 3:291-312.
    • (2002) Brain and Mind , vol.3 , pp. 291-312
    • Velde, F.1    Kamps, M.2
  • 34
    • 34548487292 scopus 로고    scopus 로고
    • Synchronization of a class of delayed neural networks with reaction-diffusion terms
    • Wang Y., Cao J. Synchronization of a class of delayed neural networks with reaction-diffusion terms. Physics Letters A 2007, 369:201-211.
    • (2007) Physics Letters A , vol.369 , pp. 201-211
    • Wang, Y.1    Cao, J.2
  • 35
    • 77949912391 scopus 로고    scopus 로고
    • A new method for exponential synchronization of chaotic delayed systems via intermittent control
    • Wang Y., Hao J., Zuo Z. A new method for exponential synchronization of chaotic delayed systems via intermittent control. Physics Letters A 2010, 374:2024-2029.
    • (2010) Physics Letters A , vol.374 , pp. 2024-2029
    • Wang, Y.1    Hao, J.2    Zuo, Z.3
  • 36
    • 43049147138 scopus 로고    scopus 로고
    • Global exponential stability of fuzzy cellular neural networks with delays and reaction-diffusion terms
    • Wang J., Lu J. Global exponential stability of fuzzy cellular neural networks with delays and reaction-diffusion terms. Chaos, Solutions Fractals 2008, 38:878-885.
    • (2008) Chaos, Solutions Fractals , vol.38 , pp. 878-885
    • Wang, J.1    Lu, J.2
  • 37
    • 36448966822 scopus 로고    scopus 로고
    • Adaptive synchronization of neural networks with time-varying delay and distributed delay
    • Wang K., Teng Z., Jiang H. Adaptive synchronization of neural networks with time-varying delay and distributed delay. Physica A 2008, 387:631-642.
    • (2008) Physica A , vol.387 , pp. 631-642
    • Wang, K.1    Teng, Z.2    Jiang, H.3
  • 38
    • 77953126784 scopus 로고    scopus 로고
    • Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions
    • Wang K., Teng Z., Jiang H. Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions. Mathematical and Computer Modelling 2010, 52:12-24.
    • (2010) Mathematical and Computer Modelling , vol.52 , pp. 12-24
    • Wang, K.1    Teng, Z.2    Jiang, H.3
  • 39
    • 0031570072 scopus 로고    scopus 로고
    • Image segmentation based on oscillatory correlation
    • Wang D.L., Terman D. Image segmentation based on oscillatory correlation. Neural Computation 1997, 9:805-836.
    • (1997) Neural Computation , vol.9 , pp. 805-836
    • Wang, D.L.1    Terman, D.2
  • 40
    • 78649914134 scopus 로고    scopus 로고
    • An LMI approach to stability analysis of reaction-diffusion Cohen-Grossberg neural networks concerning Dirichlet boundary conditions and distributed delays
    • Wang Z., Zhang H., Li P. An LMI approach to stability analysis of reaction-diffusion Cohen-Grossberg neural networks concerning Dirichlet boundary conditions and distributed delays. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 2010, 40:1596-1606.
    • (2010) IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics , vol.40 , pp. 1596-1606
    • Wang, Z.1    Zhang, H.2    Li, P.3
  • 41
    • 63849123030 scopus 로고    scopus 로고
    • Pinning synchronization of delayed dynamical networks via periodically intermittent control
    • Xia W., Cao J. Pinning synchronization of delayed dynamical networks via periodically intermittent control. Chaos 2009, 19:013120.
    • (2009) Chaos , vol.19 , pp. 013120
    • Xia, W.1    Cao, J.2
  • 42
    • 78650244228 scopus 로고    scopus 로고
    • Global exponential synchronization of fuzzy cellular neural networks with delays and reaction-diffusion terms
    • Yu F., Jiang H. Global exponential synchronization of fuzzy cellular neural networks with delays and reaction-diffusion terms. Neurocomputing 2011, 74:509-515.
    • (2011) Neurocomputing , vol.74 , pp. 509-515
    • Yu, F.1    Jiang, H.2
  • 43
    • 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. Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 2010, 40:831-844.
    • (2010) IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics , vol.40 , pp. 831-844
    • Zhang, H.1    Ma, T.2    Huang, G.3    Wang, Z.4
  • 44
    • 77957333769 scopus 로고    scopus 로고
    • Delay-dependent exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
    • Zhang X., Wu S., Li K. Delay-dependent exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms. Communications in Nonlinear Science and Numerical Simulation 2011, 16:1524-1532.
    • (2011) Communications in Nonlinear Science and Numerical Simulation , vol.16 , pp. 1524-1532
    • Zhang, X.1    Wu, S.2    Li, K.3
  • 45
    • 79953678078 scopus 로고    scopus 로고
    • Global exponential stability of interval general BAM neural networks with reaction-diffusion terms and multiple time-varying delays
    • Zhang Z., Yang Y., Huang Y. Global exponential stability of interval general BAM neural networks with reaction-diffusion terms and multiple time-varying delays. Neural Networks 2011, 24:457-465.
    • (2011) Neural Networks , vol.24 , pp. 457-465
    • Zhang, Z.1    Yang, Y.2    Huang, Y.3
  • 47
    • 80052930015 scopus 로고    scopus 로고
    • Exponential stability analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with mixed delays
    • Zhu Q., Cao J. Exponential stability analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with mixed delays. Neurocomputing 2011, 74:3084-3091.
    • (2011) Neurocomputing , vol.74 , pp. 3084-3091
    • Zhu, Q.1    Cao, J.2
  • 48
    • 0346686995 scopus 로고    scopus 로고
    • Intermittent dynamical control
    • Zochowski M. Intermittent dynamical control. Physical D 2000, 145:181-190.
    • (2000) Physical D , vol.145 , pp. 181-190
    • Zochowski, M.1


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