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On relationship between quadratic and robust stability of uncertain systems

✍ Scribed by Wen-Hua Chen

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
78 KB
Volume
9
Category
Article
ISSN
1049-8923

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✦ Synopsis

A game theoretic approach is introduced to analyse the relationship between the quadratic and robust stability of systems with structured uncertainties. Necessary and sufficient condition for the equivalence of these two types of stability is presented. The distance between quadratic and robust stability is bounded when this condition is not satisfied. This gives new insight into the mechanism of the quadratic stability. Checking this necessary and sufficient condition and calculating the error bound are formulated as a convex optimization problem. The results developed in this paper are illustrated by several numerical examples.

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