论文标题

半线性双曲系统的数值边界控制

Numerical boundary control for semilinear hyperbolic systems

论文作者

Gerster, Stephan, Nagel, Felix, Sikstel, Aleksey, Visconti, Giuseppe

论文摘要

这项工作致力于通过半线性双曲线平衡法则描述的物理系统边界控制的设计。提出了一个计算框架,该计算框架产生了足够的条件,可以将系统转向所需状态。提出的方法基于Lyapunov稳定性分析和CWENO型重建。

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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