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  Far East Journal of Dynamical Systems  
 ISSN: 0972-1118
 
 
 

     Far East Journal of Dynamical Systems
    Volume 11, Issue 3, Pages 317 - 324 (October 2009)


ASYMPTOTIC STABILITY OF DELAY-DIFFERENCE CONTROL SYSTEM WITH TIME-VARYING DELAY OF HOPFIELD NEURAL NETWORKS VIA MATRIX INEQUALITIES AND APPLICATION

Kreangkri Ratchagit (Thailand)

Received December 25, 2008

References:



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[6] S. Elaydi and A. Peterson, Difference Equations, An Introduction with Applications, Academic Press, New York, 1990.

[7] K. Gu, An integral inequality in the stability problem of time-delay systems, Proc. 39th IEEE CDC Conf., Sydney, Australia, 2000, pp. 2805-2810.

[8] M. M. Gupta and L. Jin, Globally asymptotical stability of discrete-time analog neural networks, IEEE Trans. Neural Networks 7(4) (1996), 1024-1031.

[9] J. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, 1977.

[10] S. Hu and J. Wang, Global stability of a class of discrete-time recurrent neural networks, IEEE Trans. Circuits and Systems-I 49(8) (2006), 1021-1029.

[11] E. F. Infante and W. B. Castelan, A Lyapunov functional for a matrix difference-differential equation, J. Differential Equations 29(3) (1978), 439-451.

[12] X. Liu, Y. Liu and K. L. Teo, Stability analysis of impulsive control systems, Math. Comput. Model. 37(12-13) (2003), 1357-1370.

[13] K. Ratchagit, Asymptotic stability of delay difference system of the Hopfield neural networks via matrix inequalities and application, Internat. J. Neural Syst. 17(5) (2007), 425-430.

Keywords and phrases: asymptotic stability, Hopfield neural networks, Lyapunov function, delay-difference control system with time-varying delay, matrix inequalities.

 


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