Title :
Consistency of a pair of generalized Sylvester equations
Author_Institution :
Math. Inst., Wurzburg Univ., Germany
fDate :
5/1/1994 12:00:00 AM
Abstract :
A necessary and sufficient condition is given for the existence of a simultaneous solution of a pair of generalized Sylvester equations. An auxiliary result deals with constant solutions of Sylvester equations with polynomial matrices
Keywords :
matrix algebra; polynomials; constant solutions; generalized Sylvester equations; necessary and sufficient condition; polynomial matrices; simultaneous solution; Automatic control; Control systems; Eigenvalues and eigenfunctions; Equations; Linear feedback control systems; Linear systems; Output feedback; Polynomials; Shape control; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on