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- W2798203479 abstract "A graph can be interpreted as a discrete time system where information moves from avertex to the neighbors at each step. Disturbances can change the information at thesevertices. Can such a disturbance occurring in one or multiple vertices of a graph be coun-teracted by controlling another vertex? In this report we study this so-called disturbancedecoupling problem, and the recursive algorithm that can solve it for discrete time systems.We rewrite simple graph structures as discrete systems and solve the problem for these basicexamples. By observing what happens in the graph in each step of the recursive algorithmwe are able to form hypotheses on the relation between disturbance decoupling and thegraph structure. Based on these hypotheses we proved theorems that solved the problemfor certain types of graphs, like graphs where each vertex has no more than one incomingedge. For other graphs, where vertices may have multiple incoming edges, we have a strongsuspicion on how to solve the disturbance decoupling problem." @default.
- W2798203479 created "2018-04-24" @default.
- W2798203479 creator A5039986920 @default.
- W2798203479 date "2017-01-01" @default.
- W2798203479 modified "2023-09-27" @default.
- W2798203479 title "Disturbance Decoupling in Graphs" @default.
- W2798203479 hasPublicationYear "2017" @default.
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