An Algebraic Approach to the Construction of Polyhedral Invariant Cones

DOI10.1137/S0895479898335465zbMath0973.15015OpenAlexW2078128104MaRDI QIDQ2706267

Valcher, Maria Elena, Lorenzo Farina

Publication date: 19 March 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479898335465

zbMATH Keywords

spectral radiusinvariant cones\(K\)-irreducibilitypolyedral cones

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Linear systems in control theory (93C05) Polyhedra and polytopes; regular figures, division of spaces (51M20) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (6)

Minimal eventually positive realizations of externally positive systems ⋮ Positive output/state maps and quasi-positive realization of MIMO discrete systems ⋮ On common invariant cones for families of matrices ⋮ Linear cone-invariant control systems and their equivalence ⋮ A novel unified approach to invariance conditions for a linear dynamical system ⋮ On the Block Structure and Frobenius Normal Form of Powers of Matrices

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