Zeno phenomenon in hybrid dynamical systems | Zendy

Dashkovskiy Sergey | Zendy; Feketa Petro | Zendy

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Zeno phenomenon in hybrid dynamical systems

Author(s) -

Dashkovskiy Sergey,

Feketa Petro

Publication year - 2017

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201710362

Subject(s) - zeno's paradoxes , dynamical systems theory , hybrid system , dynamical system (definition) , term (time) , quantum zeno effect , stability (learning theory) , control theory (sociology) , statistical physics , computer science , exponential stability , mathematics , phenomenon , physics , artificial intelligence , quantum mechanics , quantum decoherence , machine learning , nonlinear system , quantum , geometry , control (management)

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)

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