Mathematics – Optimization and Control
Scientific paper
2011-05-12
Mathematics
Optimization and Control
Submitted to CDC 2011
Scientific paper
In this paper, we use the H2 norm associated with a communication graph to characterize the robustness of consensus to noise. In particular, we restrict our attention to trees and by systematic attention to the effect of local changes in topology, we derive a partial ordering for undirected trees according to the H2 norm. Our approach for undirected trees provides a constructive method for deriving an ordering for directed trees. Further, our approach suggests a decentralized manner in which trees can be rearranged in order to improve their robustness.
Leonard Naomi Ehrich
Scardovi Luca
Young George Forrest
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