A note on the characteristic equation in the max-plus algebra

DOI10.1016/S0024-3795(97)80071-7zbMath0892.15011OpenAlexW4255130122MaRDI QIDQ1362665

Bart De Schutter, Bart De Moor

Publication date: 5 August 1997

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)80071-7

zbMATH Keywords

Cayley-Hamilton theoremcounterexamplecharacteristic equationmax-plus algebra

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Algebraic systems of matrices (15A30) Generalizations (16Y99)

Related Items (6)

Cayley-Hamilton theorem in the min-plus algebra ⋮ A NOTE OF THE LINEAR BALANCE SYSTEMS FOR MATRIX X THAT SATISFIES A \otimes X \otimes A \triangledown A ⋮ Key agreement under tropical parallels ⋮ Relatively maximal perturbation bounds for global robustness of max‐plus linear systems ⋮ Global optimization for max-plus linear systems and applications in distributed systems ⋮ Matrix representation of formal polynomials over max-plus algebra

Cites Work

• Cramer and Cayley-Hamilton in the max algebra
• Minimax algebra
• A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing
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