TY - GEN
T1 - Rearranging trees for robust consensus
AU - Young, George Forrest
AU - Scardovi, Luca
AU - Leonard, Naomi Ehrich
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84860675094&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84860675094&partnerID=8YFLogxK
U2 - 10.1109/CDC.2011.6161270
DO - 10.1109/CDC.2011.6161270
M3 - Conference contribution
AN - SCOPUS:84860675094
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1000
EP - 1005
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -