论文标题
气体网络的建模，控制和数字
Modeling, Control and Numerics of Gas Networks
论文作者
论文摘要
在本文中，我们调查了管道网络中气流数学结果的最新进展，特别关注 控制和稳定问题。我们简要介绍了通过网络顶点流动的气流和耦合条件的建模。我们的主要重点是用于由双曲线平衡定律控制的空间一维流的气模型。我们调查了经典解决方案以及弱解决方案的结果。 我们介绍了适当性的结果， 可控性，反馈稳定， 在模型和数值方法中包含不确定性。
In this article we survey recent progress on mathematical results on gas flow in pipe networks with a special focus on questions of control and stabilization. We briefly present the modeling of gas flow and coupling conditions for flow through vertices of a network. Our main focus is on gas models for spatially one-dimensional flow governed by hyperbolic balance laws. We survey results on classical solutions as well as weak solutions. We present results on well--posedness, controllability, feedback stabilization, the inclusion of uncertainty in the models and numerical methods.
