Title :
Simple proof of the Simon-Mitter controllability theorem
Author :
Crossley, T.R. ; Porter, Barry
Author_Institution :
University of Salford, Department of Mechanical Engineering, Salford, UK
Abstract :
It is shown that the introduction of generalised mode-controllability matrices of multivariable time-invariant linear systems greatly facilitates a simple and direct proof of the Simon¿Mitter theorem concerning the controllability characteristics of such systems. This proof is presented for systems whose plant matrices have any Jordan canonical form.
Keywords :
controllability; linear systems; matrix algebra; multivariable control systems; theorem proving; Jordan canonical form; Simmon Mitter theorem; controllability; linear systems; matrix algebra; multivariable systems; time invariant systems;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19730036
