An explicit solution to the matrix equation AV+BW=EV J

DOI10.1007/s11768-005-5173-xzbMath1141.93312OpenAlexW1993188241MaRDI QIDQ5436270

Bin Zhou, Ai-guo Wu, Guang-Ren Duan

Publication date: 14 January 2008

Published in: Journal of Control Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11768-005-5173-x

zbMATH Keywords

parametric solutiongeneralized Sylvester matrix equations\(R\)-controllability

Mathematics Subject Classification ID

Controllability (93B05) Matrix equations and identities (15A24)

Related Items (1)

On the solution of the linear matrix equation \(X = Af(X) B + C\)

Cites Work

• Singular control systems
• Solution to matrix equation \(AV + BW = EVF\) and eigenstructure assignment for descriptor systems
• Leverrier's algorithm for singular systems
• 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
• Geometric structure and feedback in singular systems
• Eigenstructure assignment and response analysis in descriptor linear systems with state feedback control
• Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems

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