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arXiv · 2203.14747

Numerical boundary control for semilinear hyperbolic systems

Stephan Gerster·Felix Nagel·Aleksey Sikstel·Giuseppe Visconti
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Abstract

This work is devoted to the design of boundary controls of physical systems that are described by semilinear hyperbolic balance laws. A computational framework is presented that yields sufficient conditions for a boundary control to steer the system towards a desired state. The presented approach is based on a Lyapunov stability analysis and a CWENO-type reconstruction.

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Stephan Gerster, Felix Nagel, Aleksey Sikstel, Giuseppe Visconti. 2022-03-28. Numerical boundary control for semilinear hyperbolic systems. https://arxiv.org/abs/2203.14747

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