메뉴 건너뛰기




Volumn 349, Issue 7, 2012, Pages 2461-2479

Stability analysis of fuzzy cellular neural networks with time delay in the leakage term and impulsive perturbations

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR NETWORK; DELAY DIFFERENTIAL INEQUALITY; EIGENSPACES; FUZZY CELLULAR NEURAL NETWORKS; FUZZY LOGIC OPERATORS; IMPULSIVE PERTURBATIONS; M-MATRIX; NON-NEGATIVE MATRIX; SPECTRAL RADII; STABILITY ANALYSIS; SUFFICIENT CONDITIONS;

EID: 84864706459     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2012.05.009     Document Type: Article
Times cited : (45)

References (45)
  • 2
    • 78751605964 scopus 로고    scopus 로고
    • Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays
    • P. Balasubramaniam, M. Kalpana, and R. Rakkiyappan Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays Mathematical and Computer Modelling 5-6 2011 839 853
    • (2011) Mathematical and Computer Modelling , vol.5-6 , pp. 839-853
    • Balasubramaniam, P.1    Kalpana, M.2    Rakkiyappan, R.3
  • 4
    • 55949088751 scopus 로고    scopus 로고
    • Stability analysis of stochastic fuzzy cellular neural networks with delays
    • L. Chen, and H.Y. Zhao Stability analysis of stochastic fuzzy cellular neural networks with delays Neurocomputing 72 2008 436 444
    • (2008) Neurocomputing , vol.72 , pp. 436-444
    • Chen, L.1    Zhao, H.Y.2
  • 7
    • 38649094006 scopus 로고    scopus 로고
    • Existence and globally exponential stability of periodic solution of BAM neural networks with impulses and recent-history distributed delays
    • H.B. Gu, H.J. Jiang, and Z.D. Teng Existence and globally exponential stability of periodic solution of BAM neural networks with impulses and recent-history distributed delays Neurocomputing 71 2008 813 822
    • (2008) Neurocomputing , vol.71 , pp. 813-822
    • Gu, H.B.1    Jiang, H.J.2    Teng, Z.D.3
  • 9
    • 75749095299 scopus 로고    scopus 로고
    • Almost sure exponential stability of stochastic cellular neural networks with unbounded distributed delays
    • C.X. Huang, and J.D. Cao Almost sure exponential stability of stochastic cellular neural networks with unbounded distributed delays Neurocomputing 72 2009 3352 3356
    • (2009) Neurocomputing , vol.72 , pp. 3352-3356
    • Huang, C.X.1    Cao, J.D.2
  • 10
    • 61349112088 scopus 로고    scopus 로고
    • Invariant and attracting set of fuzzy cellular neural networks with variable delays
    • Y.M. Huang, W. Zhu, and D.Y. Xu Invariant and attracting set of fuzzy cellular neural networks with variable delays Applied Mathematics Letters 22 2009 478 483
    • (2009) Applied Mathematics Letters , vol.22 , pp. 478-483
    • Huang, Y.M.1    Zhu, W.2    Xu, D.Y.3
  • 11
    • 53049085961 scopus 로고    scopus 로고
    • Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays
    • O.M. Kwon, and J.H. Park Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays Journal of the Franklin Institute 345 2008 766 778
    • (2008) Journal of the Franklin Institute , vol.345 , pp. 766-778
    • Kwon, O.M.1    Park, J.H.2
  • 14
    • 64149089394 scopus 로고    scopus 로고
    • On the stability of nonlinear systems with leakage delay
    • C. Li, and T. Huang On the stability of nonlinear systems with leakage delay Journal of the Franklin Institute 346 2009 366 377
    • (2009) Journal of the Franklin Institute , vol.346 , pp. 366-377
    • Li, C.1    Huang, T.2
  • 15
    • 77953835896 scopus 로고    scopus 로고
    • Delay-dependent stability of neural networks of neutral type with time delay in the leakage term
    • X. Li, and J. Cao Delay-dependent stability of neural networks of neutral type with time delay in the leakage term Nonlinearity 23 2010 1709 1726
    • (2010) Nonlinearity , vol.23 , pp. 1709-1726
    • Li, X.1    Cao, J.2
  • 16
    • 77955517065 scopus 로고    scopus 로고
    • Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations
    • X.D. Li, X.L. Fu, P. Balasubramaniam, and R. Rakkiyappan Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations Nonlinear Analysis: Real World Applications 11 2010 4092 4108
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , pp. 4092-4108
    • Li, X.D.1    Fu, X.L.2    Balasubramaniam, P.3    Rakkiyappan, R.4
  • 17
    • 79251598420 scopus 로고    scopus 로고
    • Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations
    • X.D. Li, R. Rakkiyappan, and P. Balasubramaniam Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations Journal of the Franklin Institute 2 2011 135 155
    • (2011) Journal of the Franklin Institute , vol.2 , pp. 135-155
    • Li, X.D.1    Rakkiyappan, R.2    Balasubramaniam, P.3
  • 18
    • 39849111203 scopus 로고    scopus 로고
    • Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays
    • P.C. Liu, F.Q. Yi, Q. Guo, J. Yang, and W. Wu Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays Physica D 237 2008 475 485
    • (2008) Physica D , vol.237 , pp. 475-485
    • Liu, P.C.1    Yi, F.Q.2    Guo, Q.3    Yang, J.4    Wu, W.5
  • 19
    • 1542345660 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
    • Y.Q. Liu, and W.S. Tang Exponential stability of fuzzy cellular neural networks with constant and time-varying delays Physics Letters A 323 2004 224 233
    • (2004) Physics Letters A , vol.323 , pp. 224-233
    • Liu, Y.Q.1    Tang, W.S.2
  • 20
    • 40649091390 scopus 로고    scopus 로고
    • Delay-dependent stability analysis for impulsive neural networks with time varying delays
    • S.J. Long, and D.Y. Xu Delay-dependent stability analysis for impulsive neural networks with time varying delays Neurocomputing 71 2008 1705 1713
    • (2008) Neurocomputing , vol.71 , pp. 1705-1713
    • Long, S.J.1    Xu, D.Y.2
  • 21
    • 79957965051 scopus 로고    scopus 로고
    • Stability analysis of stochastic fuzzy cellular neural networks with time-varying delays
    • S.J. Long, and D.Y. Xu Stability analysis of stochastic fuzzy cellular neural networks with time-varying delays Neurocomputing 74 2011 2385 2391
    • (2011) Neurocomputing , vol.74 , pp. 2385-2391
    • Long, S.J.1    Xu, D.Y.2
  • 22
    • 84857044248 scopus 로고    scopus 로고
    • Exponential stability result for discrete-time stochastic fuzzy uncertain neural networks
    • K. Mathiyalagan, R. Sakthivel, and S. Marshal Anthoni Exponential stability result for discrete-time stochastic fuzzy uncertain neural networks Physics Letters A 376 2012 901 912
    • (2012) Physics Letters A , vol.376 , pp. 901-912
    • Mathiyalagan, K.1    Sakthivel, R.2    Marshal Anthoni, S.3
  • 23
    • 79960547821 scopus 로고    scopus 로고
    • New stability and stabilization criteria for fuzzy neural networks with various activation functions
    • K. Mathiyalagan, R. Sakthivel, and S. Marshal Anthoni New stability and stabilization criteria for fuzzy neural networks with various activation functions Physica Scripta 84 2011 015007
    • (2011) Physica Scripta , vol.84 , pp. 015007
    • Mathiyalagan, K.1    Sakthivel, R.2    Marshal Anthoni, S.3
  • 24
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time cellular neural networks with delays
    • S. Mohamad, and K. Gopalsamy Exponential stability of continuous-time and discrete-time cellular neural networks with delays Applied Mathematics and Computation 135 2003 17 38
    • (2003) Applied Mathematics and Computation , vol.135 , pp. 17-38
    • Mohamad, S.1    Gopalsamy, K.2
  • 25
    • 38949136712 scopus 로고    scopus 로고
    • Exponential stability of artificial neural networks with distributed delays and large impulses
    • S. Mohamad, K. Gopalsamy, and H. Akca Exponential stability of artificial neural networks with distributed delays and large impulses Nonlinear Analysis: Real World Applications 9 2008 872 888
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , pp. 872-888
    • Mohamad, S.1    Gopalsamy, K.2    Akca, H.3
  • 26
    • 84862784005 scopus 로고    scopus 로고
    • Synchronization criteria for coupled stochastic neural networks with time-varying delays and leakage delay
    • M.J. Park, O.M. Kwon, Ju H. Park, S.M. Lee, and E.J. Cha Synchronization criteria for coupled stochastic neural networks with time-varying delays and leakage delay Journal of the Franklin Institute 349 2012 1699 1720
    • (2012) Journal of the Franklin Institute , vol.349 , pp. 1699-1720
    • Park, M.J.1    Kwon, O.M.2    Park, J.H.3    Lee, S.M.4    Cha, E.J.5
  • 27
    • 77950917878 scopus 로고    scopus 로고
    • Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms
    • S. Peng Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms Nonlinear Analysis: Real World Applications 11 2010 2141 2151
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , pp. 2141-2151
    • Peng, S.1
  • 28
    • 33746814969 scopus 로고    scopus 로고
    • Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays
    • Q.K. Song, and J.D. Cao Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays Journal of Computational and Applied Mathematics 197 2006 188 203
    • (2006) Journal of Computational and Applied Mathematics , vol.197 , pp. 188-203
    • Song, Q.K.1    Cao, J.D.2
  • 29
    • 36849025968 scopus 로고    scopus 로고
    • Dynamical behaviors of discrete-time fuzzy cellular neural networks with variable delays and impulses
    • Q.K. Song, and J.D. Cao Dynamical behaviors of discrete-time fuzzy cellular neural networks with variable delays and impulses Journal of the Franklin Institute 345 2008 39 59
    • (2008) Journal of the Franklin Institute , vol.345 , pp. 39-59
    • Song, Q.K.1    Cao, J.D.2
  • 30
    • 67349230282 scopus 로고    scopus 로고
    • Dynamical behaviors of fuzzy reaction-diffusion periodic cellular neural networks with variable coefficients and delays
    • Q.K. Song, and Z.D. Wang Dynamical behaviors of fuzzy reaction-diffusion periodic cellular neural networks with variable coefficients and delays Applied Mathematical Modelling 33 2009 3533 3545
    • (2009) Applied Mathematical Modelling , vol.33 , pp. 3533-3545
    • Song, Q.K.1    Wang, Z.D.2
  • 32
    • 84858326319 scopus 로고    scopus 로고
    • Design of a passification controller for uncertain fuzzy Hopfield neural networks with time-varying delays
    • R. Sakthivel, K. Mathiyalagan, and S. Marshal Anthoni Design of a passification controller for uncertain fuzzy Hopfield neural networks with time-varying delays Physica Scripta 84 2011 045024
    • (2011) Physica Scripta , vol.84 , pp. 045024
    • Sakthivel, R.1    Mathiyalagan, K.2    Marshal Anthoni, S.3
  • 33
    • 57649104873 scopus 로고    scopus 로고
    • Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
    • X.H. Wang, Q.Y. Guo, and D.Y. 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.H.1    Guo, Q.Y.2    Xu, D.Y.3
  • 34
    • 67651230408 scopus 로고    scopus 로고
    • Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms
    • X.H. Wang, and D.Y. Xu Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms Chaos, Solitons and Fractals 42 2009 2713 2721
    • (2009) Chaos, Solitons and Fractals , vol.42 , pp. 2713-2721
    • Wang, X.H.1    Xu, D.Y.2
  • 35
    • 77952885584 scopus 로고    scopus 로고
    • Global exponential stability of non-autonomous FCNNs with Dirichlet boundary conditions and reaction-diffusion terms
    • A.L. Wu, and C.J. Fu Global exponential stability of non-autonomous FCNNs with Dirichlet boundary conditions and reaction-diffusion terms Applied Mathematical Modelling 34 2010 3022 3029
    • (2010) Applied Mathematical Modelling , vol.34 , pp. 3022-3029
    • Wu, A.L.1    Fu, C.J.2
  • 36
    • 80955157450 scopus 로고    scopus 로고
    • Attracting and quasi-invariant sets of non-autonomous neural networks with delays
    • D.Y. Xu, and S.J. Long Attracting and quasi-invariant sets of non-autonomous neural networks with delays Neurocomputing 77 2012 222 228
    • (2012) Neurocomputing , vol.77 , pp. 222-228
    • Xu, D.Y.1    Long, S.J.2
  • 37
    • 33846588513 scopus 로고    scopus 로고
    • Attracting and invariant sets for a class of impulsive functional differential equations
    • D.Y. Xu, and Z.C. Yang Attracting and invariant sets for a class of impulsive functional differential equations Journal of Mathematical Analysis and Applications 329 2007 1036 1044
    • (2007) Journal of Mathematical Analysis and Applications , vol.329 , pp. 1036-1044
    • Xu, D.Y.1    Yang, Z.C.2
  • 38
    • 14844333215 scopus 로고    scopus 로고
    • Impulsive delay differential inequality and stability of neural networks
    • D.Y. Xu, and Z.C. Yang Impulsive delay differential inequality and stability of neural networks Journal of Mathematical Analysis and Applications 305 2005 107 120
    • (2005) Journal of Mathematical Analysis and Applications , vol.305 , pp. 107-120
    • Xu, D.Y.1    Yang, Z.C.2
  • 39
    • 70350710034 scopus 로고    scopus 로고
    • Robust stability of uncertain stochastic fuzzy cellular neural networks
    • H.Z. Yang, and L. Sheng Robust stability of uncertain stochastic fuzzy cellular neural networks Neurocomputing 73 2009 133 138
    • (2009) Neurocomputing , vol.73 , pp. 133-138
    • Yang, H.Z.1    Sheng, L.2
  • 40
    • 33748752311 scopus 로고    scopus 로고
    • Exponential p-stability of impulsive stochastic differential equations with delays
    • Z.G. Yang, D.Y. Xu, and L. Xiang Exponential p-stability of impulsive stochastic differential equations with delays Physics Letters A 359 2006 129 137
    • (2006) Physics Letters A , vol.359 , pp. 129-137
    • Yang, Z.G.1    Xu, D.Y.2    Xiang, L.3
  • 43
    • 75149181270 scopus 로고    scopus 로고
    • Existence of periodic solution for discrete-time cellular neural networks with complex deviating arguments and impulses
    • X.S. Yang, F. Li, Y. Long, and X.Z. Cui Existence of periodic solution for discrete-time cellular neural networks with complex deviating arguments and impulses Journal of the Franklin Institute 347 2010 559 566
    • (2010) Journal of the Franklin Institute , vol.347 , pp. 559-566
    • Yang, X.S.1    Li, F.2    Long, Y.3    Cui, X.Z.4
  • 44
    • 6344254943 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of cellular neural networks with time-varying delays
    • Q. Zhang, X.P. Wei, and J. Xu Delay-dependent exponential stability of cellular neural networks with time-varying delays Chaos, Solitons and Fractals 23 2005 1363 1369
    • (2005) Chaos, Solitons and Fractals , vol.23 , pp. 1363-1369
    • Zhang, Q.1    Wei, X.P.2    Xu, J.3
  • 45
    • 1542716871 scopus 로고    scopus 로고
    • On global exponential stability of cellular neural networks with Lipschitz-continuous activation function and variable delays
    • D.M. Zhou, L.M. Zhang, and J.D. Cao On global exponential stability of cellular neural networks with Lipschitz-continuous activation function and variable delays Applied Mathematics and Computation 2 2004 379 392
    • (2004) Applied Mathematics and Computation , vol.2 , pp. 379-392
    • Zhou, D.M.1    Zhang, L.M.2    Cao, J.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.