IMPULSIVE STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME DELAY VIA LYAPUNOV FUNCTIONALS
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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.
Share and Cite
ISRP Style
QING WANG, XINZHI LIU, IMPULSIVE STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME DELAY VIA LYAPUNOV FUNCTIONALS, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 2, 72-86
AMA Style
WANG QING, LIU XINZHI, IMPULSIVE STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME DELAY VIA LYAPUNOV FUNCTIONALS. J. Nonlinear Sci. Appl. (2008); 1(2):72-86
Chicago/Turabian Style
WANG , QING, LIU, XINZHI. "IMPULSIVE STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME DELAY VIA LYAPUNOV FUNCTIONALS." Journal of Nonlinear Sciences and Applications, 1, no. 2 (2008): 72-86
Keywords
- Impulsive cellular neural networks
- global exponential stability
- stabilization
- time delay
MSC
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