Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure
Optimization and Control
2020-03-31 v1 Analysis of PDEs
Abstract
In this paper, we study the boundary feedback stabilization of a quasilinear hyperbolic system with partially dissipative structure. Thanks to this structure, we construct a suitable Lyapunov function which leads to the exponential stability to the equilibrium of the solution. As an application, we also obtain the feedback stabilization for the Saint-Venant-Exner model under physical boundary conditions.
Cite
@article{arxiv.2003.12942,
title = {Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure},
author = {Ke Wang and Zhiqiang Wang and Wancong Yao},
journal= {arXiv preprint arXiv:2003.12942},
year = {2020}
}