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arXiv · 1804.08440

Finite-time stability for differential inclusions with applications to neural networks

Radosław Matusik·Andrzej Nowakowski·Sławomir Plaskacz·Andrzej Rogowski
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Abstract

The paper investigates sufficient conditions on a differential inclusion which guarantee that the origin is a finite time stable equilibrium, namely a weak local one, a weak global one or a strong local one. The analysis relies on the existence of a Lyapunov function. A new Gronwall type results are used to estimate the settling time. An example of a neural network which is finite-time stable is given

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Radosław Matusik, Andrzej Nowakowski, Sławomir Plaskacz, Andrzej Rogowski. 2018-04-23. Finite-time stability for differential inclusions with applications to neural networks. https://arxiv.org/abs/1804.08440

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