Spectral factorization with imaginary-axis zeros

DOI10.1016/0024-3795(95)00525-0zbMath0868.15013OpenAlexW1982724184WikidataQ127899218 ScholiaQ127899218MaRDI QIDQ5961585

Brian D. O. Anderson, David J. Clements, Jeremy B. Matson, Alan J. Laub

Publication date: 21 August 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)00525-0

zbMATH Keywords

spectral factorizationalgebraic Riccati equationlinear matrix inequalityeigenvaluesdiscrete-timespectral densityHamiltonian matrixHermitian solutionsminimum-rank solutions

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Discrete-time control/observation systems (93C55) Matrix equations and identities (15A24)

Related Items (10)

A matrix factorization solution to the \(\mathcal H_{-}/\mathcal H \infty\) fault detection problem ⋮ Lur'e equations and even matrix pencils ⋮ Outer transfer functions of differential-algebraic systems ⋮ Error bounds in the gap metric for dissipative balanced approximations ⋮ The extended \(J\)-spectral factorization for descriptor systems ⋮ Positive real and bounded real balancing for model reduction of descriptor systems ⋮ LQ control of descriptor systems: a spectral factorisation approach ⋮ A structure-preserving method for positive realness problem in control ⋮ Observer-based fault detection and isolation filter design for linear time-invariant systems ⋮ The Kalman-Yakubovich-Popov inequality for differential-algebraic systems

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