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An LMI condition for robust stability of polynomial matrix polytopes
Henrion, D. ; Arzelier, D. ; Peaucelle, D. ; Šebek, Michael
A sufficient LMI condition is proposed for checking robust stability of apolytope of polynomial matrices. It hinges upon two recent results: a new approach topolynomial matrix stability analysis and a new robust stability condition for convex polytopic uncertainty. Numerical experiments illustrate that the condition narrows signifficantly the unavoidable gap between conservative tractable quadratic stability results and exact NP-hard robust stability results.
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