Bode integral limitations of spatially invariant multi-agent systems

Prashanth Padmasola, Nicola Elia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

18 Scopus citations

Abstract

We study the performance of spatially invariant plants interconnected through a static network. Such structures commonly arise in multi-agent systems and systems described by partial differential equations with constant coefficients. We introduce a new notion of Bode sensitivity integral for such interconnections of systems. We comment on a new Waterbed effect in two dimensions, space and time and evaluate examples to show the role of Bode Integral as a fundamental limitation in feedback interconnection of distributed systems.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4327-4332
Number of pages6
ISBN (Print)1424401712, 9781424401710
DOIs
StatePublished - 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
Country/TerritoryUnited States
CitySan Diego, CA
Period12/13/0612/15/06

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