Abstract
Locally and globally asymptotical stability on equilibria of delayed neural networks with saturation activation functions are studied by the Razumikhin-type theorems, which are the main approaches to study the stability of functional differential equations, and some new stability conditions are obtained, which are constructed by the networks’ parameters. In the case of local stability conditions, the attracted fields of equilibria are also estimated. All results obtained in this paper need only to compute the eigenvalues of some matrices or to verify some inequalities to be holden.
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Liao, W., Wang, D., Xu, J., Liao, X. (2007). Some New Stability Conditions of Delayed Neural Networks with Saturation Activation Functions. In: Liu, D., Fei, S., Hou, ZG., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72383-7_104
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DOI: https://doi.org/10.1007/978-3-540-72383-7_104
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72382-0
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