A weak condition of globally asymptotic stability for neural networks

DOI10.1016/j.aml.2006.01.009zbMath1189.34099OpenAlexW1979423357MaRDI QIDQ1031718

Wei Nian Zhang

Publication date: 30 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.01.009

zbMATH Keywords

exponential stabilityneural networkcompactnessglobal asymptotic stabilitynonnegative definite

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Global stability of solutions to ordinary differential equations (34D23)

Related Items (1)

A weak condition for global stability of delayed neural networks

Cites Work

• Global asymptotic stability of differential equations in the plane
• On global asymptotic stability of a class of nonlinear systems arising in neural network theory
• Dynamical Stability Conditions for Recurrent Neural Networks with Unsaturating Piecewise Linear Transfer Functions
• Necessary and sufficient condition for absolute stability of neural networks
• On a class of globally stable neural circuits
• New conditions for global stability of neural networks with application to linear and quadratic programming problems
• A new result on the global convergence of Hopfield neural networks
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