Title :
On the minimality of the Jordan form state equations
Author :
Bingulac, S.P. ; Djorovic, M.
Author_Institution :
University of Illinois, Urbana, Illinois, USA
fDate :
10/1/1975 12:00:00 AM
Abstract :
This paper proves the theorem that permits calculation of the order of the minimal realization of a system described by the Jordan form state equations. The proof is purely algebraic and is applicable both to continuous and discrete dynamic systems. The application of the theorem is illustrated by a computational example.
Keywords :
Linear systems, time-invariant continuous-time; Minimal realizations; Bismuth; Controllability; Eigenvalues and eigenfunctions; Equations; Observability; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1101050
