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- W2093490908 abstract "Natural connections between positive semidefinite solutions X of homogeneous algebraic Riccati equations and finite dimensional reproducing kernel de Branges spaces based on a J -inner proper rational square matrix valued functions are known. In this paper analogous connections between the positive semidefinite solutions X of nonhomogeneous algebraic Riccati equations and finite dimensional reproducing kernel Hilbert spaces based on rectangular ( J , J ∼ ) -coinner proper rational matrix valued functions Θ ( λ ) are developed and are then applied to obtain factorization formulas for Θ ( λ ) in terms of elementary factors. Enroute, formulas for the factors in a version of a theorem of Leech are also obtained." @default.
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- W2093490908 date "2007-01-01" @default.
- W2093490908 modified "2023-09-28" @default.
- W2093490908 title "Riccati inequalities and reproducing kernel Hilbert spaces" @default.
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- W2093490908 doi "https://doi.org/10.1016/j.laa.2006.08.005" @default.
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