Abstract
We present sufficient conditions for fixed-time stability for a wide class of neural networks described by a system of differential equations with right-hand side satisfying the Carathéodory conditions. In contrast to the results given in the literature, where the settling-time function is estimated by an unknown Lyapunov function, we estimate the settling-time by a known function. In addition, the settling-time function does not depend on the initial values. We also give numerical examples, which confirm the theoretical results.
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21 November 2022
A Correction to this paper has been published: https://doi.org/10.1007/s10986-022-09582-9
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Matusik, R. A different approach to fixed-time stability for a wide class of time-varying neural networks. Lith Math J 61, 491–501 (2021). https://doi.org/10.1007/s10986-021-09541-w
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DOI: https://doi.org/10.1007/s10986-021-09541-w