Dissipativity-Based Scalable L2-Gain Analysis for Nonlinear Networked Systems

Magnus Axelson-Fisk, Bart Besselink, Steffi Knorn

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

By making use of dissipativity theory we can provide an easily verifiable condition which ensures a scalable L2- gain in a network of nonlinear systems, i.e. a gain independent on the number of systems. However, ensuring bounded L2-gains may become insufficient, since the energy of the input may grow unbounded. Therefore, we can also give a proof that the same condition may be used to bound the energy of the local systems. Such a bound ensures that the effects of increasing network size do not accumulate in any of the systems. We end the paper with an example in which we demonstrate that scaling the network size does not lead to an accumulation in any part of the network.

Original languageEnglish
Title of host publication2024 European Control Conference, ECC 2024
PublisherIEEE
Pages1240-1245
Number of pages6
ISBN (Electronic)978-3-9071-4410-7
ISBN (Print)979-8-3315-4092-0
DOIs
Publication statusPublished - 2024
Event2024 European Control Conference, ECC 2024 - Stockholm, Sweden
Duration: 25-Jun-202428-Jun-2024

Publication series

Name2024 European Control Conference, ECC 2024

Conference

Conference2024 European Control Conference, ECC 2024
Country/TerritorySweden
CityStockholm
Period25/06/202428/06/2024

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