The weak robustness of interval matrices in max-plus algebra

DOI10.1016/j.dam.2014.03.018zbMath1311.15028OpenAlexW81998003MaRDI QIDQ400506

Ján Plavka

Publication date: 22 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.dam.2014.03.018

zbMATH Keywords

interval matricesweak robustness

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Max-plus and related algebras (15A80)

Related Items (6)

\(\mathbf{X}\)-simple image eigencones of tropical matrices ⋮ Relatively maximal perturbation bounds for global robustness of max‐plus linear systems ⋮ Tolerance types of interval eigenvectors in max-plus algebra ⋮ AE and EA robustness of interval circulant matrices in max-product algebra ⋮ Interval robustness of (interval) max-plus matrices ⋮ Max-plus steady states in discrete event dynamic systems with inexact data

Cites Work

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• On the \(O(n^{3})\) algorithm for checking the strong robustness of interval fuzzy matrices
• Max-algebraic attraction cones of nonnegative irreducible matrices
• On the \(\lambda \)-robustness of matrices over fuzzy algebra
• Systems of linear interval equations
• A characterization of the minimum cycle mean in a digraph
• Matrix period in max-algebra
• Linear matrix period in max-plus algebra
• Control solvability of interval systems of max-separable linear equations
• Max-linear Systems: Theory and Algorithms
• The complexity of finding the minimal of the maximum cycle means of similar zero-one matrices
• Recognizing Weakly Stable Matrices
• Interval systems of max-separable linear equations

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