Reachability and Invariance Problems in Max-plus Algebra

Gaubert, Stéphane; Katz, Ricardo

doi:10.1007/978-3-540-44928-7_4

Stéphane Gaubert¹ &
Ricardo Katz²

Part of the book series: Lecture Notes in Control and Information Science ((LNCIS,volume 294))

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Abstract

We present a synthesis of recent results concerning reachability and invariance problems for max-plus linear dynamical systems. Semigroup membership and orbit problems, reachable spaces, and A,B invariant spaces, are discussed.

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Authors and Affiliations

INRIA, Domaine de Voluceau, 78153, Le Chesnay Cédex, France
Stéphane Gaubert
CONICET, Dep. of Mathematics, Universidad Nacional de Rosario, Avenida Pellegrini 250 2000 Rosario, Argentina,
Ricardo Katz

Authors

Stéphane Gaubert
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Ricardo Katz
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Luca Benvenuti Alberto De Santis Lorenzo Farina

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Gaubert, S., Katz, R. Reachability and Invariance Problems in Max-plus Algebra. In: Benvenuti, L., De Santis, A., Farina, L. (eds) Positive Systems. Lecture Notes in Control and Information Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44928-7_4

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DOI: https://doi.org/10.1007/978-3-540-44928-7_4
Published: 30 April 2004
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40342-5
Online ISBN: 978-3-540-44928-7
eBook Packages: Springer Book Archive

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