Title :
Balanced minimal realisation of SISO systems
Author_Institution :
National Technical University of Athens, Department of Electrical Engineering, Athens, Greece
Abstract :
A method is proposed for the derivation of an internally balanced minimal-state-space description of a SISO system, given its transfer function. The method requires only once the computation of the eigenvalues-eigenvectors of a symmetric matrix. Solution of the Lyapunov matrix equation is not needed.
Keywords :
eigenvalues and eigenfunctions; matrix algebra; state-space methods; transfer functions; SISO systems; eigenvalues-eigenvectors; internally balanced minimal-state-space description; single-input/single output; state space methods; symmetric matrix; transfer function;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19830291
