Factorizations of and extensions to J-unitary rational matrix functions on the unit circle
From MaRDI portal
Publication:1187747
DOI10.1007/BF01204239zbMath0792.47012OpenAlexW2027363404WikidataQ114234017 ScholiaQ114234017MaRDI QIDQ1187747
Israel Gohberg, Marinus A. Kaashoek, André C. M. Ran
Publication date: 23 July 1992
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01204239
minimal realizationrational matrix functionMcMillan degreeminimal completionsminimal factorizationsDarlington synthesisfactorization of \(J\)-unitary functions into \(J\)-unitary factorsinvertible Hermitian matrix
Related Items
$\mathcal{H}_\infty$ Control Problem for Discrete-Time Algebraic Dynamical Systems ⋮ On a new class of realization formulas and their application ⋮ Parametrization of \(\Omega \)-stabilizing controllers and closed-loop transfer matrices of a singular system ⋮ System theory and orthogonal multi-wavelets ⋮ \(\mathcal{H}_2\) optimal control for generalized discrete-time systems ⋮ All doubly coprime factorizations of a general rational matrix ⋮ Schur complements and state space realizations ⋮ Minimal indices cancellation and rank revealing factorizations for rational matrix functions ⋮ Zero cancellation for general rational matrix functions ⋮ Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\) ⋮ \(J\) factorizations of a general discrete-time system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matrices and indefinite scalar products
- Minimal factorization of matrix and operator functions
- Frequency theorem and the Lure equation
- Interpolation of rational matrix functions
- Hermitian solutions of the discrete algebraic Riccati equation
- Existence and uniqueness theorems for the algebraic Riccati equation
- Input–Output Description of Roomy Systems
This page was built for publication: Factorizations of and extensions to J-unitary rational matrix functions on the unit circle