On the matrix equation \(XH = HX\) and the associated controllability problem

DOI10.1016/j.amc.2006.08.063zbMath1126.93012OpenAlexW2169060258MaRDI QIDQ876673

Ehab A. El-Sayed, Mohamed A. Ramadan

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.063

zbMATH Keywords

ControllabilityMatrix equationsUnreduced Hessenberg matrix

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05)

Related Items (5)

Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations ⋮ A Hessenberg method for the numerical solutions to types of block Sylvester matrix equations ⋮ Matrix equations over \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices ⋮ Solutions to a family of matrix equations by using the Kronecker matrix polynomials ⋮ Finite algorithms for solving the coupled Sylvester-conjugate matrix equations over reflexive and Hermitian reflexive matrices

Cites Work

• On eigenvalue and canonical form assignments
• On the similarity transformation between a matrix and its transpose
• The matrix equation \(XA=A^ TX\) and an associated algorithm for solving the inertia and stability problems
• A new criterion of controllability
• An algorithm for pole assignment of time invariant linear systems†
• Single-Input Eigenvalue Assignment Algorithms: A Close Look
• Unnamed Item

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