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Volumn 37, Issue , 2010, Pages 481-488

Stability analysis of impulsive stochastic fuzzy cellular neural networks with time-varying delays and reaction-diffusion terms

Author keywords

Exponential stability; Impulses; Reaction diffusion terms; Stochastic fuzzy cellular neural networks; Time varying delays

Indexed keywords

DESIGN AND APPLICATION; DIFFUSION EFFECTS; EXPONENTIAL CONVERGENCE RATE; FUZZY CELLULAR NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; IMPULSES; INEQUALITY TECHNIQUES; LYAPUNOV-KRASOVSKII; REACTION DIFFUSION; REACTION-DIFFUSION TERMS; STABILITY ANALYSIS; STOCHASTIC ANALYSIS; STOCHASTIC FUZZY NEURAL NETWORK; SUFFICIENT CONDITIONS; TIME-VARYING DELAY;

EID: 84871603964     PISSN: 2010376X     EISSN: 20103778     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (36)
  • 2
    • 0030258702 scopus 로고    scopus 로고
    • The global stability of fuzzy celluar neural networks
    • T. Yang, L. Yang, "The global stability of fuzzy celluar neural networks", IEEE Trans. Cric. Syst. I 43(1996) 880-883.
    • (1996) IEEE Trans. Cric. Syst. I , vol.43 , pp. 880-883
    • Yang, T.1    Yang, L.2
  • 3
    • 1542345660 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
    • Y. Liu, W. Tang, "Exponential stability of fuzzy cellular neural networks with constant and time-varying delays", Phys. Lett. A 323(2004) 224-233.
    • (2004) Phys. Lett. A , vol.323 , pp. 224-233
    • Liu, Y.1    Tang, W.2
  • 4
    • 33745209223 scopus 로고    scopus 로고
    • Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays
    • K. Yuan, J. Cao, J. Deng, "Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays", Neurocom-puting 69(2006)1619-1627.
    • (2006) Neurocom-puting , vol.69 , pp. 1619-1627
    • Yuan, K.1    Cao, J.2    Deng, J.3
  • 5
    • 31744447713 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with distributed delay
    • T. Huang, "Exponential stability of fuzzy cellular neural networks with distributed delay", Phys. Lett. A 351 (2006) 48-52.
    • (2006) Phys. Lett. A , vol.351 , pp. 48-52
    • Huang, T.1
  • 6
    • 33747370696 scopus 로고    scopus 로고
    • Exponential stability of delayed fuzzy cellular neural networks with diffusion
    • T. Huang, "Exponential stability of delayed fuzzy cellular neural networks with diffusion", Chaos Solitons & Fractals 31(2007)658-664.
    • (2007) Chaos Solitons & Fractals , vol.31 , pp. 658-664
    • Huang, T.1
  • 7
    • 43049136835 scopus 로고    scopus 로고
    • Global asymptotic stability of fuzzy cellular neural networks with time-varying delays
    • Q. Zhang, R. Xiang, "Global asymptotic stability of fuzzy cellular neural networks with time-varying delays", Phys. Lett. A 372 (2008) 3971-3977.
    • (2008) Phys. Lett. A , vol.372 , pp. 3971-3977
    • Zhang, Q.1    Xiang, R.2
  • 8
    • 36849025968 scopus 로고    scopus 로고
    • Dynamical behaviors of discrete-time fuzzy cellular neural networks with variable delays and impulses
    • Q. Song, J. Cao, "Dynamical behaviors of discrete-time fuzzy cellular neural networks with variable delays and impulses", Journal of the Franklin Institute 345(2007) 39-59.
    • (2007) Journal of the Franklin Institute , vol.345 , pp. 39-59
    • Song, Q.1    Cao, J.2
  • 9
    • 65449139221 scopus 로고    scopus 로고
    • Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays
    • H. Zhao, N. Ding, Ling Chen, "Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays", Chaos, Solitons & Fractals 40 (2009) 1653-1659.
    • (2009) Chaos, Solitons & Fractals , vol.40 , pp. 1653-1659
    • Zhao, H.1    Ding, N.2    Chen, L.3
  • 10
    • 33845402381 scopus 로고    scopus 로고
    • Advanced fuzzy cellular neural network:Application to ct liver images
    • S. Wang, D. Fu, M. Xu, D. Hu, "Advanced fuzzy cellular neural network:Application to ct liver images", Artificial Intelligence in Medicine 39 (2007) 65-77.
    • (2007) Artificial Intelligence In Medicine , vol.39 , pp. 65-77
    • Wang, S.1    Fu, D.2    Xu, M.3    Hu, D.4
  • 11
    • 33847360582 scopus 로고    scopus 로고
    • Applying the improved fuzzy cellular neural network IFCNN to white blood cell detection
    • Wang S., Korris F.L. Chung, Fu D., "Applying the improved fuzzy cellular neural network IFCNN to white blood cell detection", Neurocomputing 70 (2007) 1348-1359.
    • (2007) Neurocomputing , vol.70 , pp. 1348-1359
    • Wang, S.1    Chung Korris, F.L.2    Fu, D.3
  • 12
    • 65249121378 scopus 로고    scopus 로고
    • Global exponential stability of impulsive fuzzy cellular neural networks with delays and diffusion
    • K. Li, "Global exponential stability of impulsive fuzzy cellular neural networks with delays and diffusion", Int. J. Bifurc. Chaos 19 (2009) 245-261.
    • (2009) Int. J. Bifurc. Chaos , vol.19 , pp. 245-261
    • Li, K.1
  • 13
    • 55949127155 scopus 로고    scopus 로고
    • Exponential stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
    • K. Li, Q. Song, "Exponential stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms", Neurocomputing 72 (2008) 231-240.
    • (2008) Neurocomputing , vol.72 , pp. 231-240
    • Li, K.1    Song, Q.2
  • 14
    • 55549110435 scopus 로고    scopus 로고
    • Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms
    • Z. Li, K. Li, "Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms", Appl. Math. Model. 33 (2009) 1337-1348.
    • (2009) Appl. Math. Model. , vol.33 , pp. 1337-1348
    • Li, Z.1    Li, K.2
  • 15
    • 33846004186 scopus 로고    scopus 로고
    • Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms
    • J. Qiu, "Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms", Neurocomputing 70 (2007) 1102-1108.
    • (2007) Neurocomputing , vol.70 , pp. 1102-1108
    • Qiu, J.1
  • 16
    • 34548525395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions
    • J. G. Lu, "Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions", Chaos, Solitons & Fractals 35 (2008) 116-125.
    • (2008) Chaos, Solitons & Fractals , vol.35 , pp. 116-125
    • Lu, J.G.1
  • 17
    • 63449111514 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions
    • J. G. Lu, L. J. Lu, "Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions", Chaos, Solitons & Fractals 39 (2009) 1538-1549.
    • (2009) Chaos, Solitons & Fractals , vol.39 , pp. 1538-1549
    • Lu, J.G.1    Lu, L.J.2
  • 18
    • 33750046030 scopus 로고    scopus 로고
    • Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms
    • Q. Song, J. Cao, "Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms", Nonlinear Analysis: Real World Applications 8 (2007) 345-361.
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , pp. 345-361
    • Song, Q.1    Cao, J.2
  • 19
    • 33845567753 scopus 로고    scopus 로고
    • Global exponential robust stability of Cohen-Grossberg neural network with time-varying delays and reaction-diffusion terms
    • Q. Song, J. Cao, "Global exponential robust stability of Cohen-Grossberg neural network with time-varying delays and reaction-diffusion terms", Journal of the Franklin Institute 343 (2006) 705-719.
    • (2006) Journal of the Franklin Institute , vol.343 , pp. 705-719
    • Song, Q.1    Cao, J.2
  • 20
    • 33750309145 scopus 로고    scopus 로고
    • Dynamical behaviors of Cohen-Grossberg neural networks with delays and reaction-diffusion terms
    • H. Zhao, K. Wang, "Dynamical behaviors of Cohen-Grossberg neural networks with delays and reaction-diffusion terms", Neurocomputing 70 (2006) 536-543.
    • (2006) Neurocomputing , vol.70 , pp. 536-543
    • Zhao, H.1    Wang, K.2
  • 21
    • 67651230408 scopus 로고    scopus 로고
    • Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms
    • X. Wang, D. Xu, "Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms", Chaos, Solitons & Fractals 42 (2009) 2713-2721.
    • (2009) Chaos, Solitons & Fractals , vol.42 , pp. 2713-2721
    • Wang, X.1    Xu, D.2
  • 22
    • 31144468063 scopus 로고    scopus 로고
    • Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays
    • L. Wang, Y. Gao, "Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays", Physics Letters A 350 (2006) 342-348.
    • (2006) Physics Letters A , vol.350 , pp. 342-348
    • Wang, L.1    Gao, Y.2
  • 23
    • 56549115665 scopus 로고    scopus 로고
    • Global exponential stability of reaction-diffusion cellular neural networks with S-type distributed time delays
    • L. Wang, R. Zhang, Y. Wang, "Global exponential stability of reaction-diffusion cellular neural networks with S-type distributed time delays", Nonlinear Analysis: Real World Applications 10 (2009) 1101-1113.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 1101-1113
    • Wang, L.1    Zhang, R.2    Wang, Y.3
  • 24
    • 39849111203 scopus 로고    scopus 로고
    • Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays
    • P. Liu, F. Yi, Q. Guo, J. Yang, W. Wu, "Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays", Physica D: Nonlinear Phenomena 237 (2008) 475-485.
    • (2008) Physica D: Nonlinear Phenomena , vol.237 , pp. 475-485
    • Liu, P.1    Yi, F.2    Guo, Q.3    Yang, J.4    Wu, W.5
  • 25
    • 64049091914 scopus 로고    scopus 로고
    • Stability analysis for impulsive Cohen-Grossberg neural networks with time-varying delays and distributed delays
    • K. Li, "Stability analysis for impulsive Cohen-Grossberg neural networks with time-varying delays and distributed delays", Nonlinear Analysis: Real World Applications 10 (2009) 2784-2798.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 2784-2798
    • Li, K.1
  • 26
    • 33750034621 scopus 로고    scopus 로고
    • Stability and periodicity in delayed cellular neural networks with impulsive effects
    • Y. Yang, J. Cao, "Stability and periodicity in delayed cellular neural networks with impulsive effects", Nonlinear Analysis: Real World Applications 8 (2007) 362-374.
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , pp. 362-374
    • Yang, Y.1    Cao, J.2
  • 27
    • 14844333215 scopus 로고    scopus 로고
    • Impulsive delay differential inequality and stability of neural networks
    • D. Xu, Z. Yang, "Impulsive delay differential inequality and stability of neural networks", J. Math. Anal. Appl. 305 (2005) 107-120.
    • (2005) J. Math. Anal. Appl. , vol.305 , pp. 107-120
    • Xu, D.1    Yang, Z.2
  • 28
    • 33744506602 scopus 로고    scopus 로고
    • Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays
    • Z. Yang, D. Xu, "Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays", Appl. Math. Comput. 177 (2006) 63-78.
    • (2006) Appl. Math. Comput. , vol.177 , pp. 63-78
    • Yang, Z.1    Xu, D.2
  • 29
    • 40849111420 scopus 로고    scopus 로고
    • Stability anylysis of impulsive stochastic Cohen-Grossberg neural networks with mined time delays
    • Q. Song, Z. Wang, "Stability anylysis of impulsive stochastic Cohen-Grossberg neural networks with mined time delays", Physica A 287 (2008) 3314-3326.
    • (2008) Physica A , vol.287 , pp. 3314-3326
    • Song, Q.1    Wang, Z.2
  • 30
    • 75749158065 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution for delayed neural networks with impulsive and stochastic effects
    • X. Li, "Existence and global exponential stability of periodic solution for delayed neural networks with impulsive and stochastic effects", Neurocomputing 73 (2010) 749-758.
    • (2010) Neurocomputing , vol.73 , pp. 749-758
    • Li, X.1
  • 31
    • 67349212179 scopus 로고    scopus 로고
    • Exponential p-stability of impulsive stochastic neural networks with mixed delays
    • L. Xu, D. Xu, "Exponential p-stability of impulsive stochastic neural networks with mixed delays", Chaos, Solitons & Fractals 41 (2009) 263-272.
    • (2009) Chaos, Solitons & Fractals , vol.41 , pp. 263-272
    • Xu, L.1    Xu, D.2
  • 32
    • 57649104873 scopus 로고    scopus 로고
    • Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
    • X. Wang, Q. Guo, D. Xu, "Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays", Mathematics and Computers in Simulation 79 (2009)1698-1710.
    • (2009) Mathematics and Computers In Simulation , vol.79 , pp. 1698-1710
    • Wang, X.1    Guo, Q.2    Xu, D.3
  • 33
    • 34548226946 scopus 로고    scopus 로고
    • Delay-independent exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
    • Xiaolin Li
    • Xiaolin Li. Jinde Cao, "Delay-independent exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms", Nonlinear dyn. 50 (2007) 363-371.
    • (2007) Nonlinear Dyn , vol.50 , pp. 363-371
    • Li, X.1    Cao, J.2
  • 35
    • 72149087974 scopus 로고    scopus 로고
    • Almost sure exponential stability of stochastic reaction diffusion systems
    • Q. Luo, Y. Zhang, "Almost sure exponential stability of stochastic reaction diffusion systems", Nonlinear Analysis, Theory, Methods and Applications 71 (2009) e487-e493.
    • (2009) Nonlinear Analysis, Theory, Methods and Applications , vol.71 , pp. 487-493
    • Luo, Q.1    Zhang, Y.2
  • 36
    • 0004063090 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • S. Haykin, "Neural Networks", Prentice-Hall, Englewood Cliffs, NJ (1994)
    • (1994) Neural Networks
    • Haykin, S.1


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