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Title: Existence and uniqueness of solution for discontinuous conewise linear systems
Authors: Şahan, Gökhan
Keywords: Switched systems
Conewise Linear Systems
Well posedness
Existence and Uniqueness
Caratheodory Solution
Nonsmooth systems
Issue Date: 2020
Publisher: Elsevier
Abstract: In this study, we give necessary and sufficient conditions for well posedness of Conewise Linear Systems in 3-dimensional space where the vector field is allowed to be discontinuous. The conditions are stated using the subspaces derived from subsystem matrices and the results are compared with the existing conditions given in the literature. We show that even we don't have a fixed structure on system matrices as in bimodal systems, similar subspaces and numbers again determines well posedness. Copyright (C) 2020 The Authors.
Description: 21st IFAC World Congress on Automatic Control - Meeting Societal Challenges -- JUL 11-17, 2020 -- ELECTR NETWORK -- Int Federat Automat Control, Siemens, Bayer, ABB, MathWorks, Phoenix Contact, Ifak Technol, Berlin Heart, Elsevier, De Gruyter, Tele Medi GmbH
ISSN: 2405-8963
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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