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arXiv · 2003.12942

Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure

Ke Wang·Zhiqiang Wang·Wancong Yao
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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 $H^2$ solution. As an application, we also obtain the feedback stabilization for the Saint-Venant-Exner model under physical boundary conditions.

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Ke Wang, Zhiqiang Wang, Wancong Yao. 2020-03-29. Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure. https://arxiv.org/abs/2003.12942

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