Title :
Computation method for complete D-stability intervals of a class of matrices based on generalization of the stability feeler
Author :
Matsuda, Tadasuke ; Kawanishi, Michihiro ; Narikiyo, Tatsuo
Author_Institution :
Toyota Technol. Inst., Nagoya, Japan
Abstract :
In this paper we study the robust D-stability of single-parameter polynomially-dependent matrices. D-stability of a matrix means that all the eigenvalues are in a prescribed open region, which is symmetric with respect to the real axis in the complex plane. We propose a method based on generalization of the stability feeler. By using this method, we can obtain complete D-stability intervals for a class of single-parameter polynomially-dependent matrices. This method does not require that a nominal matrix is stable. Moreover, we show an application to the analysis of robust D-stability in a physically motivated example.
Keywords :
eigenvalues and eigenfunctions; polynomial matrices; stability; uncertain systems; D-stability interval; computation method; single parameter polynomially dependent matrix; stability feeler; uncertain system; Eigenvalues and eigenfunctions; Manganese; Numerical stability; Polynomials; Robustness; Stability analysis; Symmetric matrices;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5716989