Interval robustness of (interval) max-plus matrices

DOI10.1016/j.dam.2020.03.011zbMath1447.15026OpenAlexW3010722040MaRDI QIDQ777352

Ján Plavka, Helena Myšková

Publication date: 7 July 2020

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2020.03.011

zbMATH Keywords

robustnessinterval analysismax-plus algebra

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Max-plus and related algebras (15A80)

Related Items (2)

Local and global robustness with \(q\)-step delay for max-plus linear systems ⋮ Approximately global optimal control for max-plus linear systems and its application on load distribution

Cites Work

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• The weak robustness of interval matrices in max-plus algebra
• Extending conceptualisation modes for generalised formal concept analysis
• Max-algebraic attraction cones of nonnegative irreducible matrices
• Max algebraic powers of irreducible matrices in the periodic regime: an application of cyclic classes
• On visualization scaling, subeigenvectors and Kleene stars in max algebra
• Strong regularity of matrices in general max-min algebra
• Reachability of eigenspaces for interval circulant matrices in max-algebra
• A validated real function calculus
• Tolerance types of interval eigenvectors in max-plus algebra
• \(X^{A E}\) and \(X^{E A}\) robustness of max-min matrices
• The robustness of interval matrices in max-plus algebra
• \(\ell\)-parametric eigenproblem in max-algebra
• Tropical Fourier–Motzkin elimination, with an application to real-time verification
• Max-linear Systems: Theory and Algorithms
• Recognizing Weakly Stable Matrices
• Linear Optimization Problems with Inexact Data
• Idempotent interval analysis and optimization problems

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