On the exponential stability and periodic solutions of delayed cellular neural networks

DOI10.1006/jmaa.2000.6890zbMath0976.34067OpenAlexW2081874084MaRDI QIDQ1840786

Qiong Li, Cao, Jinde

Publication date: 12 December 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6890

zbMATH Keywords

existenceperiodic solutionsdelayed cellular neural networksLyapunov functionalsglobal exponential stability

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

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Cites Work

• Unnamed Item
• The stability in neural networks with interneuronal transmission delays
• On exponential stability and periodic solutions of CNNs with delays.
• Stability of a class of neural network models with delay
• On stability of delayed cellular neural networks
• Global exponential stability and periodic solutions of delayed cellular neural networks
• Cellular neural networks: theory
• Stability and dynamics of delay-type general and cellular neural networks
• Cellular neural networks with non-linear and delay-type template elements and non-uniform grids
• On stability of cellular neural networks with delay
• Stability of cellular neural networks with dominant nonlinear and delay-type templates

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