Interval systems over idempotent semiring

DOI10.1016/j.laa.2009.03.039zbMath1201.65070arXiv1306.1136OpenAlexW2003644017MaRDI QIDQ1030748

Euriell Le Corronc, Bertrand Cottenceau, Laurent Hardouin, Mehdi Lhommeau

Publication date: 2 July 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1136

zbMATH Keywords

interval analysismax algebraresiduation theoryidempotent semiringmatrix linear inequalities

Mathematics Subject Classification ID

Related Items (13)

Idempotent and tropical mathematics; complexity of algorithms and interval analysis ⋮ A cubic time algorithm for finding the principal solution to Sylvester matrix equations over (max, +) ⋮ Analysis and control of max-plus linear discrete-event systems: an introduction ⋮ Universal algorithms for solving the matrix Bellman equations over semirings ⋮ Weak dual residuations applied to tropical linear equations ⋮ Container of (min,+)-linear systems ⋮ Model predictive scheduling of semi-cyclic discrete-event systems using switching max-plus linear models and dynamic graphs ⋮ On just-in-time control of timed event graphs with input constraints: a semimodule approach ⋮ Dynamical systems on weighted lattices: general theory ⋮ Duality and interval analysis over idempotent semirings ⋮ On the control of max-plus linear system subject to state restriction ⋮ Conditional reachability of uncertain max plus linear systems ⋮ Discrete-Event Systems in a Dioid Framework: Control Theory

Uses Software

• MinMaxgd

Cites Work

• The equation \(A \otimes x = B \otimes y\) over \((\max,+)\)
• Applications résiduées
• Max-Plus Convex Geometry
• Residuated mappings
• Idempotent interval analysis and optimization problems
• Interval systems of max-separable linear equations
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