Regions of exponential stability for LTI systems on nonuniform discrete domains

Author

Davis, John M. ; Gravagne, Ian A. ; Marks, Robert J., II ; Jackson, Billy J.

Author_Institution

Dept. of Math., Baylor Univ., Waco, TX, USA

fYear

2011

fDate

14-16 March 2011

Firstpage

37

Lastpage

42

Abstract

For LTI systems on a class of nonuniform discrete domains, we establish a region in the complex plane for which pole placement is a necessary and sufficient condition for exponential stability of solutions of the system. We study the interesting geometry of this region, comparing and contrasting it with the standard geometry of the regions of exponential stability for ODE systems on R and finite difference/recursive equations on Z. This work connects other results in the literature on the topic and explains the connection geometrically using time scales theory.

Keywords

asymptotic stability; continuous systems; discrete systems; finite difference methods; linear systems; LTI systems; exponential stability; finite difference equations; linear time-invariant systems; nonuniform discrete domains; recursive equations; time scales theory; Asymptotic stability; Difference equations; Electronic mail; Geometry; Stability criteria; exponential stability; pole placement; time scales;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory (SSST), 2011 IEEE 43rd Southeastern Symposium on

Conference_Location

Auburn, AL

ISSN

0094-2898

Print_ISBN

978-1-4244-9594-8

Type

conf

DOI

10.1109/SSST.2011.5753773

Filename

5753773