A characterization of minimal square spectral factors
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Publication:3962857
DOI10.1109/TAC.1982.1102861zbMath0497.93015MaRDI QIDQ3962857
Giorgio Picci, Lorenzo Finesso
Publication date: 1982
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Gaussian processes (60G15) Factorization of matrices (15A23) Minimal systems representations (93B20) Transformations (93B17) Invariant subspaces of linear operators (47A15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)
Related Items (12)
On a connection between spectral factorization and geometric control theory ⋮ Non-linear minimal square spectral factorization ⋮ Existence of minimal nonsquare \(J\)-symmetric factorizations for self-adjoint rational matrix functions. ⋮ Unitary solutions of a class of algebraic Riccati equations and factorization ⋮ Minimal square spectral factors ⋮ Parametrization of all minimal square spectral factors ⋮ Asymmetric algebraic Riccati equation: A homeomorphic parametrization of the set of solutions ⋮ Minimal representations of continuous-time processes having spectral density with zeros in the extended imaginary axis ⋮ Families of solutions of algebraic Riccati equations ⋮ The algebraic Riccati equation. - A polynomial approach ⋮ Minimal nonsquare spectral factors ⋮ Nonsquare spectral factors via factorizations of a unitary function
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