Title :
An elementary derivation of Rosenbrock´s minimal realization algorithm
Author_Institution :
Imperial College of Science and Technology, London, England
fDate :
6/1/1973 12:00:00 AM
Abstract :
Most minimal realization procedures utilize the Hankel matrix or properties of the controllability matrix. Recently a useful algorithm for obtaining minimal realizations has been developed by Rosenbrock using the system theory developed by him. This note shows that the algorithm can be simply developed using the properties of similarity transformation and matrix reduction procedures.
Keywords :
Linear time-invariant (LTI) systems; Matrices; Minimal realizations; Control system analysis; Control systems; Control theory; Controllability; Eigenvalues and eigenfunctions; Linear systems; Process control; State-space methods; Symmetric matrices; Systems engineering and theory;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1973.1100297
