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How Set-Valued Maps Pop Up in Control Theory

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Systems and Control in the Twenty-First Century

Part of the book series: Systems & Control: Foundations & Applications ((PSCT,volume 22))

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Abstract

We describe four instances where set-valued maps intervene either as a tool to state the results or as a technical tool of the proof. The paper is composed of four rather independent sections:

  1. 1.

    Set-Valued Optimal Synthesis and Differential Inclusions

  2. 2.

    Viability Kernel

  3. 3.

    Nonsmooth Solutions to Hamilton-Jacobi-Bellman Equations

  4. 4.

    Interior and Boundary of Reachable Sets

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Author information

Authors and Affiliations

  1. CNRS URA 749, CEREMADE, Université Paris-Dauphine, 75775, Paris Cedex 16, France

    H. Frankowska

Authors
  1. H. Frankowska
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Editor information

Editors and Affiliations

  1. School of Engineering and Applied Science, Washington University, 63130-4899, St. Louis, MO, USA

    Christopher I. Byrnes

  2. Dept. of Mathematical Sciences, Northern Illinois University, 60115, DeKalb, IL, USA

    Biswa N. Datta

  3. Dept. of Mathematics, Texas Tech University, 79409, Lubbock, TX, USA

    Clyde F. Martin  & David S. Gilliam  & 

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Frankowska, H. (1997). How Set-Valued Maps Pop Up in Control Theory. In: Byrnes, C.I., Datta, B.N., Martin, C.F., Gilliam, D.S. (eds) Systems and Control in the Twenty-First Century. Systems & Control: Foundations & Applications, vol 22. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-4120-1_8

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  • DOI: https://doi.org/10.1007/978-1-4612-4120-1_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-8662-2

  • Online ISBN: 978-1-4612-4120-1

  • eBook Packages: Springer Book Archive

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