Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/5884
Title: | Well posedness conditions for bimodal piecewise affine systems | Authors: | Şahan, Gökhan Eldem, Vasfi |
Keywords: | Bimodal systems Carathéodory solution Existence and uniqueness Nonsmooth systems Switched systems Well posedness |
Publisher: | Elsevier Ltd. | Source: | Şahan, G., and Eldem, V. (2015). Well posedness conditions for Bimodal Piecewise Affine Systems. Systems and Control Letters, 83, 9-18. doi:10.1016/j.sysconle.2015.06.002 | Abstract: | This paper considers well-posedness (the existence and uniqueness of the solutions) of Bimodal Piecewise Affine Systems in ℝn. It is assumed that both modes are observable, but only one of the modes is in observable canonical form. This allows the vector field to be discontinuous when the trajectories change mode. Necessary and sufficient conditions for well-posedness are given as a set of algebraic conditions and sign inequalities. It is shown that these conditions induce a joint structure for the system matrices of the two modes. This structure can be used for the classification of well-posed bimodal piecewise affine systems. Furthermore, it is also shown that, under certain conditions, well-posed Bimodal Piecewise Affine Systems in ℝn may have one or two equilibrium points or no equilibrium points. | URI: | https://doi.org/10.1016/j.sysconle.2015.06.002 http://hdl.handle.net/11147/5884 |
ISSN: | 0167-6911 0167-6911 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Show full item record
CORE Recommender
SCOPUSTM
Citations
6
checked on Nov 29, 2024
WEB OF SCIENCETM
Citations
6
checked on Nov 16, 2024
Page view(s)
300
checked on Dec 2, 2024
Download(s)
1,474
checked on Dec 2, 2024
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.