State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model
Optimization and Control
2016-04-27 v2
Abstract
We consider the problem of stabilizing the bilayer \textit{Saint-Venant} model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). In the stability proofs, we employ a Lyapunov function in which the parameters need to be successively determined. To the best of the authors' knowledge, this is the first time this kind of Lyapunov function is employed, and this result is the first one on the stabilization of the linearized bilayer \textit{Saint-Venant} model. Numerical simulations of the bilayer \textit{Saint-Venant} problem are also provided to verify the result.
Cite
@article{arxiv.1601.06636,
title = {State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model},
author = {Ababacar Diagne and Shuxia Tang and Mamadou Diagne and Miroslav Krstic},
journal= {arXiv preprint arXiv:1601.06636},
year = {2016}
}