Title :
On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings
Author :
Khargonekar, Pramod P. ; Sontag, Eduardo D.
Author_Institution :
University of Florida, Gainesville, FL, USA
fDate :
6/1/1982 12:00:00 AM
Abstract :
Various types of transfer matrix factorizations are of interest when designing regulators for generalized types of linear systems (delay differential, 2-D, and families of systems). This paper studies the existence of stable and of stable proper factorizations, in the context of the theory of systems over rings. Factorability is related to stabilizability and detectability properties of realizations of the transfer matrix.
Keywords :
Linear systems; Minimax control, linear systems; Polynomial matrices; Rings (algebraic); Transfer function matrices; Delay lines; Delay systems; Discrete time systems; Equations; Linear systems; Linearity; Mathematics; Polynomials; Regulators; State-space methods;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1982.1102958
