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arXiv · 2310.09707

Feedback boundary control of 2-D hyperbolic systems with relaxation

Haitian Yang·Wen-An Yong
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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.

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Haitian Yang, Wen-An Yong. 2023-10-15. Feedback boundary control of 2-D hyperbolic systems with relaxation. https://arxiv.org/abs/2310.09707

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