This paper outlines the construction and the analysis of a multiple-mo del-based controller in order to deal with the stability of uncertain systems subject to constraints on its state and its control. It is assumed that the process can be defined by a finite number of models. The multiple-model approach is first formally introduced, and then the stability analysis is performed by using the vector norms and overvaluing model frameworks. We demonstrate through original theorems how the multiple-model approach improves the sizes of the stability and attractive subsets first when only one model is sufficient to represent the process and then when a collection of its models is used.