\(J\)-spectral factorization and equalizing vectors.

DOI10.1016/S0167-6911(01)00113-XzbMath1033.93011OpenAlexW2099176553MaRDI QIDQ5941458

Orest V. Iftime, Hans J. Zwart

Publication date: 20 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(01)00113-x

zbMATH Keywords

Toeplitz operator\(J\)-spectral factorizationWiener classPopov functionalgebraic Riccati equationsPritchard-Salamon class of systems

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (5)

From a standard factorization to a \(J\)-spectral factorization for a class of infinite-dimensional systems ⋮ On Some Aspects of the J-Spectral Factorization ⋮ Sub-optimal Hankel norm approximation problem: a frequency-domain approach ⋮ Nehari problems and equalizing vectors for infinite-dimensional systems ⋮ A discrete hierarchy of double bracket equations and a class of negative power series

Cites Work

• Unnamed Item
• Unnamed Item
• Factorization of matrix functions and singular integral operators
• Analytic system problems and \(J\)-lossless coprime factorization for infinite-dimensional linear systems
• Robust control and \({\mathcal H}_{\infty}\)-optimization -- tutorial paper
• Systems of integral equations on a half line with kernels depending on the difference of arguments
• AJ-Spectral Factorization Approach to $\mathcal{H}_\infty $
• Equivalence of input-output stability and exponential stability for infinite-dimensional systems
• An algebra of transfer functions for distributed linear time-invariant systems
• Simplifications and clarifications on the paper 'An algebra of transfer functions for distributed linear time-invariant systems'
• $\mathcal{H}_\infty $ Controller Synthesis byJ-Lossless Coprime Factorization
• The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators

This page was built for publication: \(J\)-spectral factorization and equalizing vectors.