@misc{Martins_Valérie_Santos_dos_A, author={Martins, Valérie Santos dos and Rodrigues, Mickael and Diagne, Mamadou}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points.}, abstract={This method allows describing the dynamics of this nonlinear system in an infinite dimensional space over a wide operating range. A stability analysis of the nonlinear Saint-Venant PDE is proposed both by using Linear Matrix Inequalities (LMIs) and an Internal Model Boundary Control (IMBC) structure. The method is applied both in simulations and real experiments through a microchannel, illustrating thus the theoretical results developed in the paper.}, type={artykuł}, title={A multi-model approach to Saint-Venant equations: a stability study by LMIs}, keywords={Saint-Venant equation, multi-model, LMIs, infinite dimensional system, exponential stability, strongly ontinuous semigroup, internal model boundary control}, }