Optimization of the H∞-norm of Dynamic Flow Networks

QC 20180910Part of proceedings: ISBN 978-1-5386-5428-6
In this paper, we study the H∞-norm of linear systems over graphs, which is used to model distribution networks. In particular, we aim to minimize the H∞-norm subject to allocation of the weights on the edges. The optimization problem is formulated with LMI (Linear-Matrix-Inequality) constraints. For distribution networks with one port, i.e., SISO systems, we show that the H∞-norm coincides with the effective resistance between the nodes in the port. Moreover, we derive an upper bound of the H∞-norm, which is in terms of the algebraic connectivity of the graph on which the distribution network is defined.

Wei, JieqiangKTH,ACCESS Linnaeus Centre(Swepub:kth)u1lp0wkh (författare)
Sandberg, HenrikKTH,ACCESS Linnaeus Centre(Swepub:kth)u1i9irki (författare)
Johansson, Karl H.,1967-KTH,ACCESS Linnaeus Centre(Swepub:kth)u1h0d9k2 (författare)
Chen, J.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China (författare)
KTHACCESS Linnaeus Centre (creator_code:org_t)

Ingår i:2018 Annual American Control Conference (ACC): Institute of Electrical and Electronics Engineers (IEEE), s. 1280-1285

Av författaren/redakt...: Johansson, Alexa ...; Wei, Jieqiang; Sandberg, Henrik; Johansson, Karl ...; Chen, J.

Om ämnet

TEKNIK OCH TEKNOLOGIER: TEKNIK OCH TEKNO ...; och Elektroteknik oc ...; och Reglerteknik

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.