Hypergraph Reconfigurability Analysis

In the present paper, a hypergraph model for the structural system modeling and reconfigurability analysis has been presented. At first, we represent each system equation by a hyperedge, and then we extend the modeling hypergraph with others colored hyperedges (red and blue) which allows us to perform the analysis task. Based on the bottom up analysis hypergraph model, it's very easy to check the system reconfigurability in the presence of fault by verifying the existence of paths from the affected hyperedge to specifics blue hyperedges passing through specifics red hyperedges. The method is illustrated through a pedagogical example.