Electron. J. Diff. Equ., Vol. 2013 (2013), No. 193, pp. 1-8.

Robust stability of patterned linear systems

Henry Gonzalez

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.

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Henry González
Faculty of Light Industry and Environmental Protection Engineering
Obuda University
1034 Budapest, Bécsiút 96/B, Hungary
email: gonzalez.henry@rkk.uni-obuda.hu

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