Algebraic tools for the study of quaternionic behavioral systems

DOI10.1016/j.laa.2005.01.008zbMath1074.39011OpenAlexW2027172538MaRDI QIDQ1779257

Paula Rocha, Paolo Vettori, Ricardo Hahn Pereira

Publication date: 1 June 2005

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

Full work available at URL: http://hdl.handle.net/10773/8449

zbMATH Keywords

controllabilityasymptotic stabilitySmith formlinear homogeneous matrix quaternionic difference equationquaternionic dynamical system

Mathematics Subject Classification ID

Related Items (16)

Bounds for eigenvalues of matrix polynomials over quaternion division algebra ⋮ Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case ⋮ Stability of invariant subspaces of quaternion matrices ⋮ Canonical forms for mixed symmetric-skewsymmetric quaternion matrix pencils ⋮ Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions ⋮ Schur functions and their realizations in the slice hyperholomorphic setting ⋮ Algebraic techniques for eigenvalues and eigenvectors of a nectarine matrix in nectarine algebra ⋮ On pseudo-spectral factorization over the complex numbers and quaternions ⋮ Bounds for the right spectral radius of quaternionic matrices ⋮ Krein-Langer factorization and related topics in the slice hyperholomorphic setting ⋮ Quaternion polynomial matrix diagonalization for the separation of polarized convolutive mixture ⋮ A note on quaternion matrices and split quaternion matrix pencils ⋮ Essential S-spectrum for quaternionic quasi-compact operators on right quaternionic Hilbert spaces ⋮ Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra ⋮ The Moore-Penrose inverses of matrices over quaternion polynomial rings ⋮ Hyers-Ulam stability of linear recurrence with constant coefficients over the quaternion skew yield

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• A novel solution to Kepler s problem
• Quaternions and matrices of quaternions

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