Abstract
Avoiding the difficulty of constructing a proper Lyapunov function, the generalized Dahlquist constant approach is employed to investigate the exponential stability of the static neural networks. Without assuming the boundedness, monotonicity of the activations, a new sufficient conditions for existence of an unique equilibrium and the exponential stability of the neural networks are presented. An example is given to show the effectiveness of our results.
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Li, G., Xu, J. (2009). The Dahlquist Constant Approach to Stability Analysis of the Static Neural Networks. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_35
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DOI: https://doi.org/10.1007/978-3-642-01507-6_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01506-9
Online ISBN: 978-3-642-01507-6
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