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On the quadratic stabilization in discrete multimodel control

This paper deals with stability study in multimodel control of complex system. Taking advantage from some results in fuzzy control, new stabilization conditions are proposed after comparing Takagi-Sugeno (T-S) fuzzy models to the multimodel approach. Formulation of these conditions into LMI systems is hence detailed for two possible approaches. Results are finally applied to study the stabilization of a flexible transmission system.