论文标题
对线性双曲线系统平衡法的输入到状态 - 与边界干扰的分析
An analysis of the input-to-state-stabilisation of linear hyperbolic systems of balance laws with boundary disturbances
论文作者
论文摘要
在本文中，考虑了一个线性的平衡定律的线性双曲线系统，并考虑了一个维度的边界干扰。 $ l^2- $ norm中的明确候选候选者输入到州的稳定性（ISS）-Lyapunov功能也被视为离散的，以调查离散系统ISS的条件。最后，提出了包括边界干扰的圣人方程在内的测试示例的实验结果。数值结果证明了Lyapunov函数的预期理论衰变。
In this paper, a linear hyperbolic system of balance laws with boundary disturbances in one dimension is considered. An explicit candidate Input-to-State Stability (ISS)-Lyapunov function in $ L^2- $norm is considered and discretised to investigate conditions for ISS of the discrete system as well. Finally, experimental results on test examples including the Saint-Venant equations with boundary disturbances are presented. The numerical results demonstrate the expected theoretical decay of the Lyapunov function.
