Geodesic
IMPULSIVE STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME DELAY VIA LYAPUNOV FUNCTIONALS
WANG , QING 1 ; LIU, XINZHI2
1 Department of Computer Science, Mathematics, and Engineering, Shepherd University, Shepherdstown, WV 25443,USA
2 Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 2, p. 72-86.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper investigates the problem of global exponential stability for a class of impulsive cellular neural networks with time delay. By employing Lyapunov functionals, some sufficient conditions for exponential stability are established. Our results show that unstable cellular neural networks with time delay may be stabilized by impulses, where the upper bound of the amplitudes of the impulses is given. Numerical simulations on two examples are given to illustrate our results.
DOI : 10.22436/jnsa.001.02.03
Classification : 34d20, 44B20, 46C05.
Keywords: Impulsive cellular neural networks, global exponential stability, stabilization, time delay

WANG , QING  1 ; LIU, XINZHI 2

1 Department of Computer Science, Mathematics, and Engineering, Shepherd University, Shepherdstown, WV 25443,USA
2 Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1 
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WANG , QING ; LIU, XINZHI. IMPULSIVE STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME DELAY VIA LYAPUNOV FUNCTIONALS. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 2, p. 72-86. doi : 10.22436/jnsa.001.02.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.02.03/

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