论文标题

如何在Pantelides算法中找到所有连接以延迟差分 - 代数方程

How to find all connections in the Pantelides algorithm for delay differential-algebraic equations

论文作者

Collin, Daniel

论文摘要

用于延迟差异代数方程(DDAE)的Pantelides算法是一种结构分析此类系统的方法,其目标是检测哪些方程式必须进行区分或转移以构建解决方案。在此过程中,必须检测移位图中方程之间的隐式连接,从而有必要检查所有可能的连接。到目前为止,发现这些有效的问题仍未解决。进一步探讨了它,并引入了重新制定。此外,提出了一种用于溶液的算法方法。

The Pantelides algorithm for delay differential-algebraic equations (DDAEs) is a method to structurally analyse such systems with the goal to detect which equations have to be differentiated or shifted to construct a solution. In this process, one has to detect implicit connections between equations in the shifting graph, making it necessary to check all possible connections. The problem of finding these efficiently remained unsolved so far. It is explored in further detail and a reformulation is introduced. Additionally, an algorithmic approach for its solution is presented.

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