Degree Type

Dissertation

Date of Award

1996

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Wolfgang Kliemann

Second Advisor

Vijay Vittal

Abstract

In this dissertation, regular nonlinear control systems of the form .x=X0(x)+[sigma]spi=1m uiXi(x) are considered. Necessary and sufficient conditions are given for a point to be reached from one of its entire neighborhoods in finite time by a piece-wise analytic feedback controller. Under such a feedback controller, the domain of attraction of the point is maximal. In particular, necessary and sufficient conditions on stabilization of a point or a periodic orbit in two dimension flat space are given. Moreover, practical examples are discussed and some interesting results are derived. Finally, when one dimensional systems are considered, precise criteria for control, stabilization, and existence of invariant sets under large disturbances are given.

DOI

https://doi.org/10.31274/rtd-180813-12976

Publisher

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

Copyright Owner

Shan Lin

Language

en

Proquest ID

AAI9626049

File Format

application/pdf

File Size

77 pages

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