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Neural Computing and Applications

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01.04.2014 | Original Article

Global robust stability of uncertain delayed neural networks with discontinuous neuron activation

verfasst von: Jian Xiao, Zhigang Zeng

Erschienen in: Neural Computing and Applications | Ausgabe 5/2014

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Abstract

This paper integrates global robust stability of uncertain delay neural networks with discontinuous activation. The activation function is unbounded and the uncertainties are norm bound. By the homotopy invariance and solution properties of the topological degree, the conditions for the existence of equilibrium are given out. Moreover, based on the Lyapunov–Krasovskii stability theory, the conditions of global robust stability for discontinuous delayed neural networks with uncertainties are presented in terms of linear matrix inequality. At last, an illustrative numerical example is provided to show the effectiveness of results given.

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Titel: Global robust stability of uncertain delayed neural networks with discontinuous neuron activation
verfasst von: Jian Xiao
Zhigang Zeng
Publikationsdatum: 01.04.2014
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe 5/2014
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-013-1337-7

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