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A new discrete-time robust stability condition

✍ Scribed by M.C. de Oliveira; J. Bernussou; J.C. Geromel

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
81 KB
Volume
37
Category
Article
ISSN
0167-6911

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✦ Synopsis

A new robust stability condition for uncertain discrete-time systems with convex polytopic uncertainty is given. It enables to check stability using parameter-dependent Lyapunov functions which are derived from LMI conditions. It is shown that this new condition provides better results than the classical quadratic stability. Besides the use of a parameter-dependent Lyapunov function, this condition exhibits a kind of decoupling between the Lyapunov and the system matrices which may be explored for control synthesis purposes. A numerical example illustrates the results.

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