Title :
Invertibility and inversion for systems over rings and applications to delay differential systems
Author :
Conte, G. ; Perdon, A.M.
Author_Institution :
Dipartimento di Elettronica e Autom., Ancona Univ., Italy
Abstract :
The notion of invertibility for systems with coefficients in a ring is investigated. An algebraic notion of relative degree is introduced and used to characterize the invertibility of a SISO system, while a geometric characterization of relative degree is given for the MIMO case. Application to the study of delay differential systems is presented
Keywords :
MIMO systems; algebra; controllability; delay-differential systems; matrix algebra; SISO system; geometric characterization; inversion; invertibility; relative degree; ring; Controllability; Delay effects; Delay systems; Differential equations; Feedback; MIMO; Polynomials; Solid modeling; State-space methods; Trajectory;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914235
