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LMI characterization of structural and robust stability

✍ Scribed by JoséC. Geromel; Maurício C. de Oliveira; Liu Hsu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
728 KB
Volume
285
Category
Article
ISSN
0024-3795

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✦ Synopsis

This paper introduces several stability conditions for a given class of matrices expressed in terms of Linear Matrix Inequalities (LMI), being thus simply and efficiently computable. Diagonal and simultaneous stability, both characterized by polytopes of matrices, are addressed. Using this approach a method particularly attractive to test a given matrix for D-stability is proposed. Lyapunov parameter dependent functions are built in order to reduce conservativeness of the stability conditions. The key idea is to relate Hurwitz stability with a positive realness condition.

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