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Zeno phenomenon in hybrid dynamical systems

Zeno phenomenon in hybrid dynamical systems A way to prolong Zeno solutions to hybrid dynamical system beyond Zeno time is proposed. Additionally, we provide a new definition of asymptotic stability that is equipped with sufficient conditions for its verification. It allows to investigate long‐term behavior of the prolonged solutions to hybrid dynamical systems. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

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References (4)

Publisher
Wiley
Copyright
Copyright © 2017 Wiley Subscription Services, Inc., A Wiley Company
ISSN
1617-7061
eISSN
1617-7061
DOI
10.1002/pamm.201710362
Publisher site
See Article on Publisher Site

Abstract

A way to prolong Zeno solutions to hybrid dynamical system beyond Zeno time is proposed. Additionally, we provide a new definition of asymptotic stability that is equipped with sufficient conditions for its verification. It allows to investigate long‐term behavior of the prolonged solutions to hybrid dynamical systems. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Dec 1, 2017

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