Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 193, pp. 1-8.
Title: Robust stability of patterned linear systems
Author: Henry Gonzalez (Obuda Univ., Budapest, Becsiut, Hungary)
Abstract:
For a Hurwitz stable matrix $A\in \mathbb{R}^{n\times n}$,
we calculate the real structured radius of stability for $A$
with a perturbation $P=B\Delta (t)C$,
where $A, B, C$, $ \Delta (t)$ form a patterned
quadruple of matrices; i.e., they are polynomials of a common
matrix of simple structure $M \in \mathbb{R}^{n\times n}$.
Submitted April 15, 2012. Published August 30, 2013.
Math Subject Classifications: 93D09, 34A60.
Key Words: Robust stability; stability radius.