Title :
Generalized Bezoutians and invariant subspaces
Author_Institution :
Dept. of Electr. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
fDate :
9/1/1988 12:00:00 AM
Abstract :
Given a controllable and observable linear time-invariant system for which the transfer matrix has a right and left coprime matrix fraction description, the generalized Bezoutian of the matrix polynomials of the matrix fraction description is shown to be related to the right (A,B)-invariant vectors and the left (C,A)-invariant vectors
Keywords :
controllability; linear systems; matrix algebra; observability; polynomials; controllability; coprime matrix fraction description; generalized Bezoutian; linear system; matrix polynomials; observability; time-invariant system; transfer matrix; Control systems; Control theory; Controllability; Differential equations; Joining processes; Kernel; Minerals; Petroleum; Polynomials; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
