Publication Cover
Applicable Analysis
An International Journal
Volume 52, 1994 - Issue 1-4
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Original Articles

Characterization of the stability radius via bifurcation techniques

Pages 231-245 | Received 31 Oct 1991, Published online: 02 May 2007
 

Abstract

Robustness of stability of linear time-invariant systems using the relationship between the structured complex stability radius and a parametrized algebraic Riccati equation is analysed. Our approach is based on the observation that the algebraic Riccati equation can be viewed as a bifurcation problem. It is proved that the stability radius is, under certain assumptions, associated with a turning point of the bifurcation problem given by the parametrized algebraic Riccati equation. As a byproduct, the stability radius can be computed via path following. Some numerical examples are presented.

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