Degree Type

Dissertation

Date of Award

1998

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Wolfgang Kliemann

Abstract

In this dissertation we study the region in which a bilinear control system is feedback stabilizable. In particular, we prove the equivalence of exponential stability and asymptotic stability using measurable feedback laws. Also we find a necessary and sufficient condition for feedback stabilization in terms of the Lyapunov spectrum. The maximal stabilizable region is discussed and some open questions are presented.

DOI

https://doi.org/10.31274/rtd-180813-10745

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Hualin Wang

Language

en

Proquest ID

AAI9826581

File Format

application/pdf

File Size

60 pages

Included in

Mathematics Commons

Share

COinS