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Mathematics > Optimization and Control

arXiv:1804.08440 (math)
[Submitted on 23 Apr 2018 (v1), last revised 21 Feb 2019 (this version, v2)]

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

Authors: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
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1804.08440 [math.OC]
  (or arXiv:1804.08440v2 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1804.08440

Submission history

From: Sławomir Plaskacz [view email]
[v1] Mon, 23 Apr 2018 13:54:52 UTC (10 KB)
[v2] Thu, 21 Feb 2019 08:55:40 UTC (11 KB)
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