Solutions to the matrix equation \(AX - EXF=BY\)

DOI10.1016/j.camwa.2009.07.093zbMath1189.15016OpenAlexW1553137364MaRDI QIDQ979803

Guang-Ren Duan, Jun-qiang Hu, Ai-guo Wu

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.093

zbMATH Keywords

companion matrixexplicit solutionmatrix equationdegrees of freedomR-controllability matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (1)

Computational Methods for Linear Matrix Equations

Cites Work

• An explicit solution to the matrix equation \(AX - XF = BY\)
• Solution to matrix equation \(AV + BW = EVF\) and eigenstructure assignment for descriptor systems
• On the solution of a Sylvester equation appearing in descriptor systems control theory
• Leverrier's algorithm for singular systems
• Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil<tex>(sE - A)</tex>
• Eigenstructure assignment in descriptor systems
• A complete analytical solution to the equation<tex>TA - FT = LC</tex>and its applications
• Direct controllability and observability time domain conditions of singular systems
• Eigenstructure assignment and response analysis in descriptor linear systems with state feedback control
• Output feedback eigenstructure assignment using two Sylvester equations
• On the solution to the Sylvester matrix equation AV+BW=EVF
• Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems

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