Abstract
Takagi-Sugeno's fuzzy models enable to represent a wide class of non linear models in a compact set of the state variables. According to this representation stabilization conditions can be obtained and are usually written as Linear Matrix Inequalities. Since the obtained conditions are only sufficient, current researches try to lower the conservatism of the results. In this paper several matrix properties are used with the help of the elimination lemma for discrete TS models.
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