Optimal Nodal Control Of Networked Systems Of Conservation Laws

守恒定律网络系统的最优节点控制

• 批准号: 25167393
• 负责人: Professor Dr. Axel Klar
• 金额: --
• 依托单位: Lehrstuhl für Angewandte Mathematik II
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2006
• 资助国家: 德国
• 起止时间: 2005-12-31 至 2009-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/25167393?language=en
• 关键词: Optimal; Nodal; Control; Networked; Systems

We consider 2x2 systems of conservation laws in one space dimension on networks arising for example in the modelling of gas flow in pipeline networks and water flows in networks of open channels. The statement of coupling conditions in terms of Riemann problems allows for discontinuous solutions. The results are used to design appropriate and adaptive numerical schemes by exploiting the underlying network structure to solve optimization and control issues even for complex networks.

我们考虑一维空间网络上的2x2守恒律系统，例如在管道网络中的气体流动和明渠网络中的水流建模中产生的网络。黎曼问题中耦合条件的表述允许不连续的解。研究结果可用于设计适当的自适应数值方案，利用潜在的网络结构来解决复杂网络的优化和控制问题。