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
Issue Date: 1-Jul-2015
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

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