English

Numerical boundary control for semilinear hyperbolic systems

Optimization and Control 2022-08-15 v2

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.

Keywords

Cite

@article{arxiv.2203.14747,
  title  = {Numerical boundary control for semilinear hyperbolic systems},
  author = {Stephan Gerster and Felix Nagel and Aleksey Sikstel and Giuseppe Visconti},
  journal= {arXiv preprint arXiv:2203.14747},
  year   = {2022}
}
R2 v1 2026-06-24T10:28:22.319Z