Title :
On the solution to the Sylvester matrix equation AV+BW=EVF
Author_Institution :
Harbin Inst. of Technol., China
fDate :
4/1/1996 12:00:00 AM
Abstract :
A simple, direct, complete and explicit parametric solution of the generalized Sylvester matrix equation AV+BW=EVF is proposed for matrix F in the Jordan form with arbitrary eigenvalues using the Smith canonical form of the matrix [A-sE B]. The obtained solution is in a clear, neat form and may have important applications in descriptor linear system theory
Keywords :
eigenvalues and eigenfunctions; matrix algebra; Jordan form; Smith canonical form; Sylvester matrix equation; arbitrary eigenvalues; descriptor linear system theory; parametric solution; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Linear systems; Matrix converters; Matrix decomposition; Robust control;
Journal_Title :
Automatic Control, IEEE Transactions on
