Title :
Multiple-time-scales in singularly perturbed systems
Author_Institution :
University of Strathclyde, Glasgow, UK
Abstract :
Conditions for the existence of well-defined time-scales of a general, autonomous singularly perturbed linear system in Rn are described in terms of asymptotic eigenstructure of the inverse system matrix and related to Wonham´s {A,B} - invariant subspace algorithm. One consequence of the results is a strong geometric link between singular perturbation and root-locus theory.
Keywords :
Control systems; Differential equations; Eigenvalues and eigenfunctions; Linear systems; Mathematics; Output feedback;
Conference_Titel :
Decision and Control, 1985 24th IEEE Conference on
Conference_Location :
Fort Lauderdale, FL, USA
DOI :
10.1109/CDC.1985.268760