Title :
Orbit closures of matrix pencils and system limits under high gain feedback
Author :
Hinrichsen, D. ; Halloran, J.O.
Author_Institution :
Inst. fuer Dynamische Syst., Bremen Univ., Germany
Abstract :
The relationship between various types of system transformations and pencil equivalence is studied. A Kronecker canonical form for input pencils is described which extends Brunovsky´s canonical form to arbitrary (possibly uncontrollable) generalized state space systems. Necessary conditions for a pencil to lie in the closure of a given equivalence class of pencils are stated. These conditions are shown to be sufficient for controllable input pencils of generalized state space systems
Keywords :
feedback; matrix algebra; Brunovsky´s canonical form; Kronecker canonical form; controllable input pencils; generalized state space systems; high gain feedback; matrix pencils; orbit closures; pencil equivalence; system limits; system transformations; Bridges; Control systems; Differential equations; Frequency; Linear systems; Polynomials; State feedback; State-space methods; Writing;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203546
