Sensitivity function trade-offs for networks with a string topology

Richard Pates, Kaoru Yamamoto

Research output: Contribution to journalArticlepeer-review


We present two sensitivity function trade-offs that apply to a class of networks with a string topology. In particular we show that a lower bound on the H-infinity norm and a Bode sensitivity relation hold for an entire family of sensitivity functions associated with growing the network. The trade-offs we identify are a direct consequence of growing the network, and can be used to explain why poorly regulated low frequency behaviours emerge in long vehicle platoons even when using dynamic feedback.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - Sep 19 2018

All Science Journal Classification (ASJC) codes

  • General

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