Globally exponential stability conditions for cellular neural networks with time-varying delays.
type: Item
instance of: scholarly article
title: Globally exponential stability conditions for cellular neural networks with time-varying delays.
zbMATH Open document ID: 1034.34093
DOI: 10.1016/S0096-3003(01)00162-X
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: The authors study problems of global exponential stability for cellular neural networks (CNN) with time-varying delays. Several sufficient conditions guaranteeing the network's global exponential stability are established. These results can easily be used to design and verify globally stable networks. Furthermore, the results presented here are independent of the form of specific delays.
reviewed by: Alexander O. Ignatyev
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 93B20
zbMATH DE Number: 1861184
zbMATH Keywords: cellular neural network
zbMATH Keywords: stability
author: Dong-Ming Zhou
author: Jinde Cao
MaRDI profile type: Publication
cites work: Cellular neural networks: theory
cites work: On stability of cellular neural networks with delay
cites work: On stability of delayed cellular neural networks
cites work: Q4525948
cites work: Stability of cellular neural networks with dominant nonlinear and delay-type templates
cites work: On the global asymptotic stability of delayed cellular neural networks
cites work: Cellular neural networks with non-linear and delay-type template elements and non-uniform grids
cites work: Exponential stability and periodic solutions of delayed cellular neural networks
cites work: Global exponential stability and periodic solutions of delayed cellular neural networks
cites work: On exponential stability and periodic solutions of CNNs with delays.
cites work: A set of stability criteria for delayed cellular neural networks
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description: scientific article; zbMATH DE number 1861184