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Volumn 33, Issue 9, 2009, Pages 3533-3545

Dynamical behaviors of fuzzy reaction-diffusion periodic cellular neural networks with variable coefficients and delays

Author keywords

Exponential convergence; Fuzzy cellular neural networks; Periodic solutions; Reaction diffusion; Stability; Time varying delays

Indexed keywords

EXPONENTIAL CONVERGENCE; FUZZY CELLULAR NEURAL NETWORKS; PERIODIC SOLUTIONS; REACTION-DIFFUSION; TIME-VARYING DELAYS;

EID: 67349230282     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2008.11.017     Document Type: Article
Times cited : (56)

References (29)
  • 1
    • 0024088955 scopus 로고
    • Cellular neural networks: theory
    • Chua L.O., and Yang L. Cellular neural networks: theory. IEEE Trans. Circ. Syst. I 35 10 (1988) 1257-1272
    • (1988) IEEE Trans. Circ. Syst. I , vol.35 , Issue.10 , pp. 1257-1272
    • Chua, L.O.1    Yang, L.2
  • 2
    • 0035365656 scopus 로고    scopus 로고
    • Convergence analysis of cellular neural networks with unbounded delay
    • Yi Z., Heng P.A., and Leung K.S. Convergence analysis of cellular neural networks with unbounded delay. IEEE Trans. Circ. Syst. I 48 6 (2001) 680-687
    • (2001) IEEE Trans. Circ. Syst. I , vol.48 , Issue.6 , pp. 680-687
    • Yi, Z.1    Heng, P.A.2    Leung, K.S.3
  • 3
    • 0038236519 scopus 로고    scopus 로고
    • Stability of cellular neural networks with time-varying delay
    • Yu G.J., Lu C.Y., Tsai J.S., Su T.J., and Liu B.D. Stability of cellular neural networks with time-varying delay. IEEE Trans. Circ. Syst. I 50 5 (2003) 677-678
    • (2003) IEEE Trans. Circ. Syst. I , vol.50 , Issue.5 , pp. 677-678
    • Yu, G.J.1    Lu, C.Y.2    Tsai, J.S.3    Su, T.J.4    Liu, B.D.5
  • 4
    • 1242331018 scopus 로고    scopus 로고
    • A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks
    • Singh V. A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Networks 15 1 (2004) 223-225
    • (2004) IEEE Trans. Neural Networks , vol.15 , Issue.1 , pp. 223-225
    • Singh, V.1
  • 5
    • 28244469656 scopus 로고    scopus 로고
    • Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays
    • Jiang H.J., Zhang L., and Teng Z.D. Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays. IEEE Trans. Neural Networks 16 6 (2005) 1340-1351
    • (2005) IEEE Trans. Neural Networks , vol.16 , Issue.6 , pp. 1340-1351
    • Jiang, H.J.1    Zhang, L.2    Teng, Z.D.3
  • 6
    • 15944385243 scopus 로고    scopus 로고
    • New results for exponential stability of delayed cellular neural networks
    • Senan S., and Arik S. New results for exponential stability of delayed cellular neural networks. IEEE Trans. Circ. Syst. II 52 3 (2005) 154-158
    • (2005) IEEE Trans. Circ. Syst. II , vol.52 , Issue.3 , pp. 154-158
    • Senan, S.1    Arik, S.2
  • 7
    • 24044465139 scopus 로고    scopus 로고
    • Global asymptotic stability and global exponential stability of delayed cellular neural networks
    • Liao X.X., Wang J., and Zeng Z.G. Global asymptotic stability and global exponential stability of delayed cellular neural networks. IEEE Trans. Circ. Syst. II 52 7 (2005) 403-409
    • (2005) IEEE Trans. Circ. Syst. II , vol.52 , Issue.7 , pp. 403-409
    • Liao, X.X.1    Wang, J.2    Zeng, Z.G.3
  • 8
    • 49049106530 scopus 로고    scopus 로고
    • Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances
    • Liang J., Wang Z., Liu Y., and Liu X. Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances. IEEE Trans. Syst., Man, and Cyber. - Part B 38 4 (2008) 1073-1083
    • (2008) IEEE Trans. Syst., Man, and Cyber. - Part B , vol.38 , Issue.4 , pp. 1073-1083
    • Liang, J.1    Wang, Z.2    Liu, Y.3    Liu, X.4
  • 9
    • 24344483452 scopus 로고    scopus 로고
    • Dynamics of a class of cellular neural networks with time-varying delays
    • Huang L.H., Huang C.X., and Liu B.W. Dynamics of a class of cellular neural networks with time-varying delays. Phys. Lett. A 345 4-6 (2005) 330-344
    • (2005) Phys. Lett. A , vol.345 , Issue.4-6 , pp. 330-344
    • Huang, L.H.1    Huang, C.X.2    Liu, B.W.3
  • 10
    • 13844264516 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of cellular neural networks with variable delays
    • Zhao H. Global exponential stability and periodicity of cellular neural networks with variable delays. Phys. Lett. A 336 4-5 (2005) 331-341
    • (2005) Phys. Lett. A , vol.336 , Issue.4-5 , pp. 331-341
    • Zhao, H.1
  • 11
    • 32144442589 scopus 로고    scopus 로고
    • Global exponential stability for nonautonomous cellular neural networks with delays
    • Zhang Q., Wei X.P., and Xu J. Global exponential stability for nonautonomous cellular neural networks with delays. Phys. Lett. A 351 3 (2006) 152-160
    • (2006) Phys. Lett. A , vol.351 , Issue.3 , pp. 152-160
    • Zhang, Q.1    Wei, X.P.2    Xu, J.3
  • 12
    • 33645012150 scopus 로고    scopus 로고
    • Invariance principle and complete stability for cellular neural networks
    • Li X.M., Ma C.Q., and Huang L.H. Invariance principle and complete stability for cellular neural networks. IEEE Trans. Circ. Syst. II 53 3 (2006) 202-206
    • (2006) IEEE Trans. Circ. Syst. II , vol.53 , Issue.3 , pp. 202-206
    • Li, X.M.1    Ma, C.Q.2    Huang, L.H.3
  • 13
    • 28444448092 scopus 로고    scopus 로고
    • Existence and stability of periodic solutions of delayed cellular neural networks
    • Li Y.K., Zhu L.F., and Liu P. Existence and stability of periodic solutions of delayed cellular neural networks. Nonlinear Anal.: Real World Appl. 7 2 (2006) 225-234
    • (2006) Nonlinear Anal.: Real World Appl. , vol.7 , Issue.2 , pp. 225-234
    • Li, Y.K.1    Zhu, L.F.2    Liu, P.3
  • 15
    • 0030258702 scopus 로고    scopus 로고
    • The global stability of fuzzy cellular neural network
    • Yang T., and Yang L.B. The global stability of fuzzy cellular neural network. IEEE Trans. Circ. Syst. I 43 10 (1996) 880-883
    • (1996) IEEE Trans. Circ. Syst. I , vol.43 , Issue.10 , pp. 880-883
    • Yang, T.1    Yang, L.B.2
  • 16
    • 1542345660 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
    • Liu Y.Q., and Tang W.S. Exponential stability of fuzzy cellular neural networks with constant and time-varying delays. Phys. Lett. A 323 3-4 (2004) 224-233
    • (2004) Phys. Lett. A , vol.323 , Issue.3-4 , pp. 224-233
    • Liu, Y.Q.1    Tang, W.S.2
  • 17
    • 33745209223 scopus 로고    scopus 로고
    • Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays
    • Yuan K., Cao J.D., and Deng J.M. Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays. Neurocomputing 69 13-15 (2006) 1619-1627
    • (2006) Neurocomputing , vol.69 , Issue.13-15 , pp. 1619-1627
    • Yuan, K.1    Cao, J.D.2    Deng, J.M.3
  • 18
    • 31744447713 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with distributed delay
    • Huang T.W. Exponential stability of fuzzy cellular neural networks with distributed delay. Phys. Lett. A 351 1-2 (2006) 48-52
    • (2006) Phys. Lett. A , vol.351 , Issue.1-2 , pp. 48-52
    • Huang, T.W.1
  • 19
    • 33747370696 scopus 로고    scopus 로고
    • Exponential stability of delayed fuzzy cellular neural networks with diffusion
    • Huang T.W. Exponential stability of delayed fuzzy cellular neural networks with diffusion. Chaos, Solitons Fract. 31 3 (2007) 658-664
    • (2007) Chaos, Solitons Fract. , vol.31 , Issue.3 , pp. 658-664
    • Huang, T.W.1
  • 20
    • 0242443314 scopus 로고    scopus 로고
    • Log-domain implementation of complex dynamics reaction-diffusion neural networks
    • Serrano-Gotarredona T., and Linares-Barranco B. Log-domain implementation of complex dynamics reaction-diffusion neural networks. IEEE Trans. Neural Networks 14 5 (2003) 1337-1355
    • (2003) IEEE Trans. Neural Networks , vol.14 , Issue.5 , pp. 1337-1355
    • Serrano-Gotarredona, T.1    Linares-Barranco, B.2
  • 21
    • 14844332624 scopus 로고    scopus 로고
    • Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
    • Wang L.S., and Xu D.Y. Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays. Sci. China (Ser. F) 46 6 (2005) 466-474
    • (2005) Sci. China (Ser. F) , vol.46 , Issue.6 , pp. 466-474
    • Wang, L.S.1    Xu, D.Y.2
  • 22
    • 17044430183 scopus 로고    scopus 로고
    • Dynamical behaviors of a large class of general delayed neural networks
    • Chen T.P., Lu W.L., and Chen G.R. Dynamical behaviors of a large class of general delayed neural networks. Neural Comput. 17 (2005) 949-968
    • (2005) Neural Comput. , vol.17 , pp. 949-968
    • Chen, T.P.1    Lu, W.L.2    Chen, G.R.3
  • 23
    • 0036565298 scopus 로고    scopus 로고
    • Time delays and stimulus-dependent pattern formation in periodic environments in isolated neurons
    • Gopaldamy K., and Sariyasa S. Time delays and stimulus-dependent pattern formation in periodic environments in isolated neurons. IEEE Trans. Neural Networks 13 3 (2002) 551-563
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.3 , pp. 551-563
    • Gopaldamy, K.1    Sariyasa, S.2
  • 24
    • 0347511635 scopus 로고    scopus 로고
    • Dynamics of periodic delayed neural networks
    • Zhou J., Liu Z., and Chen G. Dynamics of periodic delayed neural networks. Neural Networks 17 (2004) 87-101
    • (2004) Neural Networks , vol.17 , pp. 87-101
    • Zhou, J.1    Liu, Z.2    Chen, G.3
  • 25
    • 33344466620 scopus 로고    scopus 로고
    • Necessary and sufficient condition for the absolute exponential stability of a class of neural networks with finite delay
    • Huang T.W., Cao J.D., and Li C.D. Necessary and sufficient condition for the absolute exponential stability of a class of neural networks with finite delay. Phys. Lett. A 352 1-2 (2006) 94-98
    • (2006) Phys. Lett. A , vol.352 , Issue.1-2 , pp. 94-98
    • Huang, T.W.1    Cao, J.D.2    Li, C.D.3
  • 26
    • 28544444126 scopus 로고    scopus 로고
    • Robust energy-to-peak filter design for stochastic time-delay systems
    • Gao H., Lam J., and Wang C. Robust energy-to-peak filter design for stochastic time-delay systems. Syst. Control Lett. 55 2 (2006) 101-111
    • (2006) Syst. Control Lett. , vol.55 , Issue.2 , pp. 101-111
    • Gao, H.1    Lam, J.2    Wang, C.3
  • 27
    • 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. Phys. Lett. A 360 2 (2006) 263-273
    • (2006) Phys. Lett. A , vol.360 , Issue.2 , pp. 263-273
    • Gao, H.1    Lam, J.2    Chen, G.3
  • 28
    • 37549023417 scopus 로고    scopus 로고
    • A new delay system approach to network-based control
    • Gao H., Chen T., and Lam J. A new delay system approach to network-based control. Automatica 44 1 (2008) 39-52
    • (2008) Automatica , vol.44 , Issue.1 , pp. 39-52
    • Gao, H.1    Chen, T.2    Lam, J.3
  • 29
    • 0026913847 scopus 로고
    • Cellular neural networks with nonlinear and delay-type template elements nonumiform grids
    • Roska T., and Chua L.O. Cellular neural networks with nonlinear and delay-type template elements nonumiform grids. Int. J. Circ. Theory Appl. 20 (1992) 469-481
    • (1992) Int. J. Circ. Theory Appl. , vol.20 , pp. 469-481
    • Roska, T.1    Chua, L.O.2


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