Skip to main content
top

Bibliography

Journal Article

An LMI condition for robust stability of polynomial matrix polytopes

Henrion D., Arzelier D., Peaucelle D., Šebek Michael

: Automatica vol.37, 1 (2001), p. 461-468

: AV0Z1075907

: GA102/99/1368, GA ČR, 97/005-97/026, GA MŠk

: polynomial methods, uncertain polynomials, robust stability

(eng): A sufficient LMI condition is proposed for checking robust stability of a polytope of polynomial matrices. It hinges upon two recent results: a new approach to polynomial matrix stability analysis and a new robust stability condition for convex polytopic uncertainty. Numerical experiments illustrate that the condiiton narrows significantly the unavoidable gap between conservative tractable quadratic stability results and exact NP-hard robust stability results.

: 09I

: BC