Existence and Uniqueness of Solution for Discontinuous Conewise Linear Systems
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Authors
Şahan, Gökhan
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Open Access Color
GOLD
Green Open Access
No
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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
Keywords
Switched systems, Conewise Linear Systems, Well posedness, Existence and Uniqueness, Caratheodory Solution, Nonsmooth systems
Fields of Science
0209 industrial biotechnology, 0203 mechanical engineering, 02 engineering and technology
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Volume
53
Issue
2
Start Page
927
End Page
932
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