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Mixed-Integer Representations

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Mixed-Integer Representations in Control Design

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Abstract

As already mentioned, optimization problems over non-convex regions are a well established topic.

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Notes

  1. 1.

    The “+” superscript was chosen for the homogeneity of notation, equivalently one could have chosen any combination of signs from (2.2a)–(2.2b) in order to describe the polytope S.

  2. 2.

    Here, d denotes the degree of the facet, ranging from 0 for extreme points to \(N_0-1\) for faces of the hypercube.

References

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Authors and Affiliations

  1. Laboratory of Conception and Integration of Systems, Université Grenoble Alpes, Valence, France

    Ionela Prodan

  2. Department of Automatic Control and Systems Engineering, Politehnica University of Bucharest, Bucharest, Romania

    Florin Stoican

  3. Laboratory of Signals and Systems, CentraleSupélec - CNRS - Université Paris-Sud, Université Paris-Saclay, Gif-sur-Yvette, France

    Sorin Olaru

  4. Laboratory of Signals and Systems, CNRS - CentraleSupélec - Université Paris-Sud, Université Paris-Saclay, Gif-sur-Yvette, France

    Silviu-Iulian Niculescu

Authors
  1. Ionela Prodan
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  2. Florin Stoican
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  3. Sorin Olaru
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  4. Silviu-Iulian Niculescu
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Correspondence to Ionela Prodan .

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Prodan, I., Stoican, F., Olaru, S., Niculescu, SI. (2016). Mixed-Integer Representations. In: Mixed-Integer Representations in Control Design. SpringerBriefs in Electrical and Computer Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-26995-5_3

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  • DOI: https://doi.org/10.1007/978-3-319-26995-5_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26993-1

  • Online ISBN: 978-3-319-26995-5

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