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- W766280968 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." @default.
- W766280968 created "2016-06-24" @default.
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- W766280968 date "2015-09-01" @default.
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- W766280968 title "Well posedness conditions for Bimodal Piecewise Affine Systems" @default.
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- W766280968 doi "https://doi.org/10.1016/j.sysconle.2015.06.002" @default.
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