An algorithm to form a D-stable coefficient set and its application to the determination of l^2 D-stability radius
Memoirs of the Faculty of Engineering, Yamaguchi University Volume 54 Issue 1
Page 37-42
published_at 2003-10
Title
An algorithm to form a D-stable coefficient set and its application to the determination of l^2 D-stability radius
Source Identifiers
Creator Keywords
Marden's algorithm
coefficient space
zeros of a polynomial
Rouche's theorem
l^2D-stability
This paper concerns the zeros of a polynomial inside a given circle in the left half complex plane. Marden provided an algorithm to determine the number of zeros which a given polynomial has inside the unit circle by using only its coefficents. In this short article, it will be shown that the result can be extended to more general case where the center of the circle is on the real axis and its radius is arbitrary. The execution of the proposed algorithm will produce a set of inequalities which serve as an algebraic expression of a D-stable set in the coefficient space. It should be emphasized that those expressions are suitable for controller design sonsideration in the coefficient space. The determination of l^2 D-stability radius as an application of the result and its related theorem will also be dictated.
Languages
eng
Resource Type
departmental bulletin paper
Publishers
山口大学工学部
Date Issued
2003-10
File Version
Version of Record
Access Rights
open access
Relations
[isVersionOf]
[URI]http://memoirs.lib-e.yamaguchi-u.ac.jp/
Schools
工学部