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  Far East Journal of Dynamical Systems  
 ISSN: 0972-1118
 
 
 

     Far East Journal of Dynamical Systems
    Volume 10, Issue 2, Pages 169 - 183 (June 2008)


DISSIPATIVITY OF NONLINEAR NEUTRAL NEURAL NETWORKS WITH DISTRIBUTED TIME DELAYS

Qingyi Guo (P. R. China), Xiaohu Wang (P. R. China) and Zhixia Ma (P. R. China)

Received March 28, 2008

References:



[1] K. Gopalsamy and P. Z. Liu, Dynamics of a hysteretic neuron model, Nonlinear Anal. RWA 8 (2007), 375-398.

[2] H. L. He and X. X. Liao, Stability analysis of neutral neural networks with time delay, LNCS 3971 (2006), 147-152.

[3] R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Volume 2, Cambridge University Press, England, 1991.

[4] Y. M. Huang, D. Y. Xu and Zhichun Yang, Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays, Neurocomputing 70 (2007), 2953-2958.

[5] Ju H. Park, O. M. Kwon and S. M. Lee. LMI optimization approach on stability for delayed neural networks of neutral-type, Appl. Math. Comput. 196 (2008), 236-244.

[6] J. L. Qiu and Q. J. Ren, Robust stability in interval delayed neural networks of neutral type, LNCS 4113 (2006), 451-456.

[7] R. Rakkiyappan and P. Balasubramaniam, New global exponential stability results for neutral type neural networks with distributed time delays, Neurocomputing 71 (2008), 1039-1045.

[8] L. G. Xu and D. Y. Xu, Exponential stability of nonlinear impulsive neutral integro- differential equations, Nonlinear Anal. (2007), doi:10.1016/j.na.2007.08.062.

[9] D. Y. Xu, Z. G. Yang and Z. C. Yang, Exponential stability of nonlinear impulsive neutral differential equations with delays, Nonlinear Anal. 67 (2007), 1426-1439.

Keywords and phrases: neutral, neural networks, dissipativity, integro-differential inequality, distributed time delay.

 


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