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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2020

An Algorithm to Compute the Inverse Image of a Point with Respect to a Nondeterministic Max Plus Linear System

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Résumé

Max Plus Linear (MPL) systems are often described by a transition function, which models the state evolution of the system, and a measurement function, which binds the measures with the system states. Methods for computing the inverse image of a point w.r.t. the measurement function are particularly interesting in applications where it is desirable to obtain informations about the system states based on the output observations. The inverse image of a set w.r.t. a nondeterministic MPL system, called uncertain MPL (uMPL) system, can be computed by using the Difference-Bound Matrices (DBM) approach. In this work we aim to use an interval analysis to propose a method to compute the inverse image of a point w.r.t. an uMPL system. The algorithm proposed has a lower worst-case complexity compared with the DBM approach as previously proposed in the literature.
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Dates et versions

hal-02961770 , version 1 (08-10-2020)

Identifiants

Citer

Renato Markele Ferreira Cândido, Laurent Hardouin, Mehdi Lhommeau, Rafael Santos-Mendes. An Algorithm to Compute the Inverse Image of a Point with Respect to a Nondeterministic Max Plus Linear System. IEEE Transactions on Automatic Control, 2020, Volume: 66, Issue: 4, April 2021, pp.1-1. ⟨10.1109/TAC.2020.2998726⟩. ⟨hal-02961770⟩
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