Non-conventional matrix calculus in the analysis of rank deficient Hankel matrices of finite dimensions

DOI10.1016/0167-6911(87)90069-7zbMath0633.15006OpenAlexW2039290535MaRDI QIDQ1095988

Bart De Moor, Joos Vandewalle

Publication date: 1987

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90069-7

zbMATH Keywords

singular value decompositionKronecker productsminimal system polesrank deficient Hankel matrices

Mathematics Subject Classification ID

Pole and zero placement problems (93B55) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

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• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• On multivariable partial realization†
• The singular value decomposition: Its computation and some applications
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Approximate linear realizations of given dimension via Ho's algorithm
• Kronecker products and matrix calculus in system theory

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