Minimal-degree coprime factorizations of rational matrix functions

DOI10.1016/0024-3795(93)90288-YzbMath0783.15005WikidataQ114215279 ScholiaQ114215279MaRDI QIDQ1801453

Leiba Rodman, Joseph A. Ball, Madanpal Verma, Jeongook Kim

Publication date: 13 March 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

coprime factorizationrational matrix functionMcMillan degreeminimal state-space realizationnull-pole triples

Mathematics Subject Classification ID

Factorization of matrices (15A23) Minimal systems representations (93B20) Matrices over function rings in one or more variables (15A54)

Related Items

Bitangential interpolation problems for symmetric rational matrix functions ⋮ Symmetric factorizations and localization of zeroes of rational matrix functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A course in \(H_{\infty}\) control theory
• Simultaneous residue interpolation problems for rational matrix functions
• Common minimal multiples and divisors for rational matrix functions
• Minimal factorization of meromorphic matrix functions in terms of local data
• Local inverse spectral problems for rational matrix functions
• An inverse spectral problem for rational matrix functions and minimal divisibility
• Minimal factorization of matrix and operator functions
• Fast projection methods for minimal design problems in linear system theory
• Topics in interpolation theory of rational matrix-valued functions
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• Rational matrix and operator functions with prescribed singularities
• <tex>L^{1}</tex>-optimal compensators for continuous-time systems
• Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable case

This page was built for publication: Minimal-degree coprime factorizations of rational matrix functions