The application of generalized diagonal dominance to linear system stability theory

1 August 1982

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 36 (2) , 185-212
https://doi.org/10.1080/00207178208932886

Abstract

This paper shows that the well-known diagonal dominance condition associated with Rosenbrock's stability theorems is unnecessary and can be replaced by a less restrictive generalized diagonal dominance condition. Similar results are derived for generalized block diagonally dominant systems. Whenever possible graphical interpretations are given to facilitate the implementation of these ideas in computer aided design packages.

Keywords

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