An identity concerning controllability observability and coprimeness of linear systems and its applications

DOI10.1007/s11768-006-6054-7zbMath1141.93313OpenAlexW2025870736MaRDI QIDQ5436271

Bin Zhou, Guang-Ren Duan, Shen-Min Song

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/s11768-006-6054-7

zbMATH Keywords

observabilitycontrollabilityresultant matrixcoprimecommuting matrix equation

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Observability (93B07) Algebraic methods (93B25)

Cites Work

• An explicit solution to the matrix equation \(AX - XF = BY\)
• Fast projection methods for minimal design problems in linear system theory
• An explicit solution to polynomial matrix right coprime factorization with application in eigenstructure assignment
• An explicit solution to right factorization with application in eigenstructure assignment
• Solutions of the Matrix Equation A ^* =XA =AX
• On the realization of linear time-invariant dynamical systems

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