Feedback boundary control of 2-D hyperbolic systems with relaxation
Optimization and Control
2023-10-17 v1 Analysis of PDEs
Abstract
This paper is concerned with boundary stabilization of two-dimensional hyperbolic systems of partial differential equations. By adapting the Lyapunov function previously proposed by the second author for linearized hyperbolic systems with relaxation structure, we derive certain control laws so that the corresponding solutions decay exponentially in time. The result is illustrated with an application to water flows in open channels.
Cite
@article{arxiv.2310.09707,
title = {Feedback boundary control of 2-D hyperbolic systems with relaxation},
author = {Haitian Yang and Wen-An Yong},
journal= {arXiv preprint arXiv:2310.09707},
year = {2023}
}