On a new class of realization formulas and their application

DOI10.1016/0024-3795(95)00602-8zbMath0858.15012OpenAlexW2059828775MaRDI QIDQ1923142

Harry Dym, Daniel Alpay

Publication date: 23 March 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00602-8

zbMATH Keywords

observabilitycontrollabilityminimalityreproducing kernel spacerational matrix-valued functionssignature matrices\(J\) unitary factorizationLyapunov-Stein-type equationmatrix-valued meromorphic functionsrealization formulas

Mathematics Subject Classification ID

Factorization of matrices (15A23) Controllability (93B05) Observability (93B07) Realizations from input-output data (93B15) Matrices over function rings in one or more variables (15A54)

Related Items (13)

Schur Analysis in an Indefinite Setting ⋮ More on maximum entropy interpolants and maximum determinant completions of associated Pick matrices ⋮ Discrete analytic functions, structured matrices and a new family of moment problems ⋮ Beurling-Lax type theorems and Cuntz relations ⋮ Bitangential interpolation in generalized Schur classes ⋮ \(n\)-best kernel approximation in reproducing kernel Hilbert spaces ⋮ Schur algorithm in the class \({\mathcal{SI}}\) of \(J\)-contractive functions intertwining solutions of linear differential equations ⋮ A Schur transformation for functions in a general class of domains ⋮ Beurling-Lax type theorems in the complex and quaternionic setting ⋮ A realization theorem for rational functions of several complex variables ⋮ Zero cancellation for general rational matrix functions ⋮ On degenerate interpolation, entropy and extremal problems for matrix Schur functions ⋮ Two classes of vector valued de Branges spaces

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