On a connection between spectral factorization and geometric control theory

DOI10.1080/00207170210139511zbMath1017.93033OpenAlexW2042555365MaRDI QIDQ4783545

Andrea Gombani, Paul A. Fuhrmann

Publication date: 18 August 2003

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170210139511

zbMATH Keywords

spectral factorizationHardy spacesinner functiongeometric control theorycontrolled invariant subspacesoutput nulling subspaces

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parametrization of all minimal square spectral factors
• Translation invariant spaces
• On Sigma-lossless transfer functions and related questions
• The solution set of the algebraic Riccati equation and the algebraic Riccati inequality
• Skew-prime polynomial matrices: The polynomial-model approach
• The algebraic Riccati equation. - A polynomial approach
• Minimal factorizations of rational matrix functions in terms of polynomial models
• (A,B)-invariant and stabilizability subspaces, a frequency domain description
• Factorization indices at infinity for rational matrix functions
• Algebraic system theory: An analyst's point of view
• Acausal models and balanced realizations of stationary processes
• Controlled and conditioned invariant subspaces in linear system theory
• Cyclic vectors and invariant subspaces of the backward shift operator
• Algebraic properties of minimal degree spectral factors
• On polynomial matrix spectral factorization by symmetric extraction
• Shifts on Hilbert spaces.
• Forward and backward semimartingale models for gaussian processes with stationary increments
• Realization Theory for Multivariate Stationary Gaussian Processes
• Spectral and Inner-Outer Factorizations of Rational Matrices
• On the Stochastic Realization Problem
• Duality in polynomial models with some applications to geometric control theory
• A study of (A, B) invariant subspaces via polynomial models
• A characterization of minimal square spectral factors
• On Hankel Operator Ranges, Meromorphic Pseudo-Continuations and Factorization of Operator-Valued Analytic Functions^†
• Research on system zeros: a survey
• On the Lyapunov equation, coinvariant subspaces and some problems related to spectral factorizations
• On a Hardy space approach to the analysis of spectral factors

This page was built for publication: On a connection between spectral factorization and geometric control theory