Numerical \(J\)-spectral factorization of general para-Hermitian matrices

DOI10.1016/J.SYSCONLE.2008.07.002zbMath1148.93014OpenAlexW2017396662MaRDI QIDQ953476

Jovan D. Stefanovski

Publication date: 20 November 2008

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.07.002

zbMATH Keywords

\(J\)-spectral factorizationzeros at infinitypara-Hermitian matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23)

Related Items (4)

Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges ⋮ Structure-preserving numerical algorithm for solving discrete-time LMI and DARS ⋮ Transformation of \(J\)-spectral factorization of improper matrices to proper matrices ⋮ LQ control of descriptor systems: a spectral factorisation approach

Cites Work

• The computation of Kronecker's canonical form of a singular pencil
• Spectral factorization via Hermitian pencils
• New algorithms for polynomial \(J\)-spectral factorization
• \(H^2\) output feedback control for descriptor systems
• Algorithm of J-spectral factorization of polynomial matrices
• Polynomial \(J\)-spectral factorization in minimal state space.
• Rational spectral factorization using state-space methods
• Computation of general inner-outer and spectral factorizations
• Algebraic Riccati Equation and J-Spectral Factorization for Hinfty Smoothing and Deconvolution
• Riccati equations in optimal filtering of nonstabilizable systems having singular state transition matrices
• Polynomial J-spectral factorization
• General matrix pencil techniques for the solution of algebraic Riccati equations: a unified approach
• A non-standardJ-spectral factorization of rational matrices via zero compensator approach
• Singular filtering via spectral interactor matrix
• A State-Space Approach to Indefinite Spectral Factorization
• Input–Output Structure of Linear Systems with Application to the Decoupling Problem
• LQ control of descriptor systems by cancelling structure at infinity

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