管网系统的建模与最优控制
Modeling and Optimal Control of Networks of Pipes and Canals
摘要：
本文讨论了由结点处守恒律的非线性系统所支配的系统的最优控制。所考虑的应用范围从管道中的气体压缩机到明渠管理。证明了最优控制的存在性。从分析的角度来看，这些结果是基于一个合适的初边值问题的适定性和准微分方程在度量空间的技术。
英文摘要：
This paper deals with the optimal control of systems governed by nonlinear systems of conservation laws at junctions. The applications considered range from gas compressors in pipelines to open channels management. The existence of an optimal control is proved. From the analytical point of view, these results are based on the well posedness of a suitable initial boundary value problem and on techniques for quasidifferential equations in a metric space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
