IMPULSIVE STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME DELAY VIA LYAPUNOV FUNCTIONALS


Authors

QING WANG - Department of Computer Science, Mathematics, and Engineering, Shepherd University, Shepherdstown, WV 25443,USA. XINZHI LIU - Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1.


Abstract

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.


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