The Equation $XR + QY = \Phi $: A Characterization of Solutions

DOI10.1137/0319003zbMath0466.93017OpenAlexW2014932138MaRDI QIDQ3919530

Erol Emre, Leonard M. Silverman

Publication date: 1981

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0319003

zbMATH Keywords

parametrizationpolynomial matricestransfer matricesalgebraic system structurematrix function descriptions of transfer matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Algebraic methods (93B25) Realizations from input-output data (93B15)

Related Items (7)

Computational Methods for Linear Matrix Equations ⋮ Unnamed Item ⋮ Two-sided equations and skew primeness for n-D polynomial matrices ⋮ Feedback representation of precompensators: application to decoupling linear multi-input multi-output plants ⋮ Realization theoretic solution of two analytic matrix equations with application to stabilization of infinite-dimensional systems ⋮ Transfer matrices, realization, and control of continuous-time linear time-varying systems via polynomial fractional representations ⋮ System-theoretic and algebraic aspects of the rings of stable and proper stable rational functions

This page was built for publication: The Equation $XR + QY = \Phi $: A Characterization of Solutions