LMI Tests for Positive Definite Polynomials: Slack Variable Approach
Résumé
The considered problem is assessing non-negativity of a function's values when indeterminates are in domains constrained by scalar polynomial inequalities. The tested functions are multi-indeterminates polynomial matrices which are required to be positive semi-definite. New tests based on linear matrix inequalities are provided in a Slack Variables type approach. The results are compared to those obtained via the Sum-Of-Squares approach. They are proved to be equivalent in case of unbounded domains and less conservative if polytopic-type bounds are known.
Domaines
AutomatiqueOrigine | Fichiers produits par l'(les) auteur(s) |
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