Well Posedness Conditions for Planar Conewise Linear Systems
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Date
2019
Authors
Şahan, Gökhan
Journal Title
Journal ISSN
Volume Title
Publisher
SAGE Publications Inc.
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
Abstract
In this study, we give well-posedness conditions for planar conewise linear systems where the vector field is not necessarily continuous. It is further shown that, for a certain class of planar conewise linear systems, well posedness is independent of the conic partition of R-2. More specifically, the system is well posed for any conic partition of R-2.
Description
Keywords
Switched systems, Existence and uniqueness of solution, Conewise linear systems, Nonsmooth systems, Carathedory solution, Well posedness, Planar systems
Fields of Science
0209 industrial biotechnology, 0203 mechanical engineering, 02 engineering and technology
Citation
WoS Q
Q3
Scopus Q
Q2

OpenCitations Citation Count
2
Source
Transactions of the Institute of Measurement and Control
Volume
41
Issue
8
Start Page
2093
End Page
2099
PlumX Metrics
Citations
CrossRef : 2
Scopus : 2
Captures
Mendeley Readers : 2
SCOPUS™ Citations
2
checked on Apr 27, 2026
Web of Science™ Citations
2
checked on Apr 27, 2026
Page Views
909
checked on Apr 27, 2026
Downloads
194
checked on Apr 27, 2026
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