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http://dx.doi.org/10.14317/jami.2011.29.5_6.1327

STABILITY OF IMPULSIVE CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS  

Zhang, Lijuan (School of Mathematics and Information Science, Yantai University)
Yu, Lixin (School of Mathematics and Information Science, Yantai University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.5_6, 2011 , pp. 1327-1335 More about this Journal
Abstract
This paper demonstrates that there is a unique exponentially stable equilibrium state of a class of impulsive cellular neural network with delays. The analysis exploits M-matrix theory and generalized comparison principle to derive some easily verifiable sufficient conditions for the global exponential stability of the equilibrium state. The results extend and improve earlier publications. An example with its simulation is given for illustration of theoretical results.
Keywords
Cellular neural networks; Global exponential stability; impulses; delays;
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