Title :
Normalized coprime fractions of semigroup systems
Author_Institution :
Fac. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
Abstract :
The normalized coprime fraction (NCPF) problem for infinite-dimensional systems is relatively complicated. The existence of an NCPF of single-input-single-output systems, which lie in the transfer function class developed by F.M. Callier and C.A. Desoer (1978, 1980), was proved previously. The NCPF problem of infinite-dimensional systems, in general, is still open. This study fills part of the gap by showing that a semigroup system with unbounded input and output operators and infinite-dimensional input and output spaces processes an NCPF if it is exponentially stabilizable and detectable
Keywords :
multidimensional systems; stability; infinite dimensional I/O spaces processes; infinite-dimensional systems; normalized coprime fraction; semigroup systems; stability; unbounded I/O operators; Control systems; Delay systems; Feedback; Hilbert space; Mathematics; Riccati equations; Robustness; State-space methods; Topology; Transfer functions;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194785
