Riccati inequalities and reproducing kernel Hilbert spaces

DOI10.1016/J.LAA.2006.08.005zbMath1111.15018OpenAlexW2093490908MaRDI QIDQ861008

Harry Dym, Chen Dubi

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.08.005

zbMATH Keywords

factorizationreproducing kernelsmatrix Riccati equationpositive semidefinite solutionsnonhomogeneous Riccati equationsrectangular \((J,\tilde{J})\)-coinner matrix-valued function

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Operator-theoretic methods (93B28) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

Beurling-Lax type theorems in the complex and quaternionic setting

Cites Work

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• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• Rational matrix functions with coisometric values on the imaginary line
• Chain-scattering approach to \(H^ \infty\) control
• The multiplicative structure of 𝐽-contractive matrix functions
• Some Hilbert Spaces of Analytic Functions

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