Abstract
For the sake of completeness, reference, and full understanding of the work described in the later chapters, standard (as well as some non-standard) mathematical concepts are given in this chapter. Most of the definitions are well established and can be found in mathematical textbooks on analysis [Roc97], metric theory [BBI01], optimization [Ber95, BS79], and stability theory [Hah67, Vid93, Kha96]. Other definitions are slightly adopted for the framework of this manuscript.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Mathematical Necessities. In: Optimal Control of Constrained Piecewise Affine Systems. Lecture Notes in Control and Information Sciences, vol 359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72701-9_1
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DOI: https://doi.org/10.1007/978-3-540-72701-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72700-2
Online ISBN: 978-3-540-72701-9
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