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Volumn 17, Issue 4, 2012, Pages 1681-1689

Global asymptotic stability of stochastic reaction-diffusion neural networks with time delays in the leakage terms

Author keywords

Leakage delay; Neural network; Reaction diffusion; Stability; Stochastic

Indexed keywords

ASYMPTOTIC STABILITY; DIFFUSION IN LIQUIDS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; STOCHASTIC SYSTEMS;

EID: 80055019029     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.08.036     Document Type: Article
Times cited : (19)

References (21)
  • 1
    • 33750380388 scopus 로고    scopus 로고
    • Leakage delays in BAM
    • Gopalsamy K. Leakage delays in BAM. J Math Anal Appl 2007, 325:1117-1132.
    • (2007) J Math Anal Appl , vol.325 , pp. 1117-1132
    • Gopalsamy, K.1
  • 3
  • 4
    • 64149089394 scopus 로고    scopus 로고
    • On the stability of nonlinear systems with leakage delay
    • Li C., Huang T. On the stability of nonlinear systems with leakage delay. J Franklin Inst 2009, 346:366-377.
    • (2009) J Franklin Inst , vol.346 , pp. 366-377
    • Li, C.1    Huang, T.2
  • 5
    • 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
    • Balasubramaniam P., Kalpana M., Rakkiyappan R. Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays. Math Comput Model 2011, 53:839-853.
    • (2011) Math Comput Model , vol.53 , pp. 839-853
    • Balasubramaniam, P.1    Kalpana, M.2    Rakkiyappan, R.3
  • 6
    • 77953835896 scopus 로고    scopus 로고
    • Delay-dependent stability of neural networks of neutral type with time delay in the leakage term
    • Li X., Cao J. Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Nonlinearity 2010, 23:1709-1726.
    • (2010) Nonlinearity , vol.23 , pp. 1709-1726
    • Li, X.1    Cao, J.2
  • 7
    • 77955517065 scopus 로고    scopus 로고
    • Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations
    • Li X., Fu X., Balasubramaniam P., Rakkiyappan R. Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations. Nonlinear Anal Real World Appl 2010, 11:4092-4108.
    • (2010) Nonlinear Anal Real World Appl , vol.11 , pp. 4092-4108
    • Li, X.1    Fu, X.2    Balasubramaniam, P.3    Rakkiyappan, R.4
  • 8
    • 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
    • Li X., Rakkiyappan R., Balasubramaniam P. Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. J Franklin Inst 2011, 348:135-155.
    • (2011) J Franklin Inst , vol.348 , pp. 135-155
    • Li, X.1    Rakkiyappan, R.2    Balasubramaniam, P.3
  • 9
    • 77950917878 scopus 로고    scopus 로고
    • Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms
    • Peng S. Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms. Nonlinear Anal Real World Appl 2010, 11:2141-2151.
    • (2010) Nonlinear Anal Real World Appl , vol.11 , pp. 2141-2151
    • Peng, S.1
  • 10
    • 79957881211 scopus 로고    scopus 로고
    • Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term
    • Balasubramaniam P., Nagamani G., Rakkiyappan R. Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term. Commun Nonlinear Sci Numer Simulat 2011, 16:4422-4437.
    • (2011) Commun Nonlinear Sci Numer Simulat , vol.16 , pp. 4422-4437
    • Balasubramaniam, P.1    Nagamani, G.2    Rakkiyappan, R.3
  • 11
    • 24944581606 scopus 로고    scopus 로고
    • Periodic solutions and its exponential stability of reaction-diffusion recurrent neural networks with continuously distributed delays
    • Song Q., Cao J., Zhao Z. Periodic solutions and its exponential stability of reaction-diffusion recurrent neural networks with continuously distributed delays. Nonlinear Anal Real World Appl 2006, 7:65-80.
    • (2006) Nonlinear Anal Real World Appl , vol.7 , pp. 65-80
    • Song, Q.1    Cao, J.2    Zhao, Z.3
  • 12
    • 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. J Comput Appl Math 2010, 234:3458-3466.
    • (2010) J Comput Appl Math , vol.234 , pp. 3458-3466
    • Balasubramaniam, P.1    Vidhya, C.2
  • 13
    • 34548226946 scopus 로고    scopus 로고
    • Delay-independent exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
    • Li X., Cao J. Delay-independent exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms. Nonlinear Dyn 2007, 50:363-371.
    • (2007) Nonlinear Dyn , vol.50 , pp. 363-371
    • Li, X.1    Cao, J.2
  • 14
    • 72149087974 scopus 로고    scopus 로고
    • Almost sure exponential stability of stochastic reaction diffusion systems
    • Luo Qi, Zhang Y. Almost sure exponential stability of stochastic reaction diffusion systems. Nonlinear Anal 2009, 71:487-493.
    • (2009) Nonlinear Anal , vol.71 , pp. 487-493
    • Luo, Q.1    Zhang, Y.2
  • 15
    • 43649099661 scopus 로고    scopus 로고
    • Convergence dynamics of stochastic reaction-diffusion recurrent neural networks with continuously distributed delays
    • Lv Y., Lv W., Sun J. Convergence dynamics of stochastic reaction-diffusion recurrent neural networks with continuously distributed delays. Nonlinear Anal Real World Appl 2008, 9:1590-1606.
    • (2008) Nonlinear Anal Real World Appl , vol.9 , pp. 1590-1606
    • Lv, Y.1    Lv, W.2    Sun, J.3
  • 16
    • 64149098588 scopus 로고    scopus 로고
    • Delay-dependent exponential stability for a class of neural networks with time delays and reaction-diffusion terms
    • Qiu J., Cao J. Delay-dependent exponential stability for a class of neural networks with time delays and reaction-diffusion terms. J Franklin Inst 2009, 346:301-314.
    • (2009) J Franklin Inst , vol.346 , pp. 301-314
    • Qiu, J.1    Cao, J.2
  • 17
    • 41649114128 scopus 로고    scopus 로고
    • Stochastic exponential stability of the delayed reaction-diffusion recurrent neural networks with Markovian jumping parameters
    • Wang L., Zhang Z., Wang Y. Stochastic exponential stability of the delayed reaction-diffusion recurrent neural networks with Markovian jumping parameters. Phys Lett A 2008, 372:3201-3209.
    • (2008) Phys Lett A , vol.372 , pp. 3201-3209
    • Wang, L.1    Zhang, Z.2    Wang, Y.3
  • 18
    • 77957597703 scopus 로고    scopus 로고
    • Mean square exponential stability of stochastic neural networks with reaction-diffusion terms and delays
    • Xu X., Zhang J., Zhang W. Mean square exponential stability of stochastic neural networks with reaction-diffusion terms and delays. Appl Math Lett 2011, 24:5-11.
    • (2011) Appl Math Lett , vol.24 , pp. 5-11
    • Xu, X.1    Zhang, J.2    Zhang, W.3
  • 20
    • 0034439996 scopus 로고    scopus 로고
    • An integral inequality in the stability problem of time-delay systems
    • In: Proceedings of the 39th IEEE Conference on Decision and Control Sydney, Australia, December
    • Gu K. An integral inequality in the stability problem of time-delay systems. In: Proceedings of the 39th IEEE Conference on Decision and Control Sydney, Australia, December; 2000. pp. 2805-2810.
    • (2000) , pp. 2805-2810
    • Gu, K.1
  • 21
    • 56549126452 scopus 로고    scopus 로고
    • Design of exponential state estimator for neural networks with distributed delays
    • Li T., Fei S., Zhu Q. Design of exponential state estimator for neural networks with distributed delays. Nonlinear Anal Real World Appl 2009, 10:1229-1242.
    • (2009) Nonlinear Anal Real World Appl , vol.10 , pp. 1229-1242
    • Li, T.1    Fei, S.2    Zhu, Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.