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Determining Asymptotic Stability and Robustness of Networked Systems

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dc.contributor Háskólinn í Reykjavík
dc.contributor Reykjavik University
dc.contributor.author August, Elias
dc.date.accessioned 2021-03-30T14:51:51Z
dc.date.available 2021-03-30T14:51:51Z
dc.date.issued 2020-10-29
dc.identifier.citation August, E. (2020). Determining Asymptotic Stability and Robustness of Networked Systems. Systems, 8(4), 39. https://doi.org/10.3390/systems8040039
dc.identifier.issn 2079-8954 (eISSN)
dc.identifier.uri https://hdl.handle.net/20.500.11815/2525
dc.description Publisher's version (útgefin grein)
dc.description.abstract This paper is motivated by the notion that coupling systems allows for mitigating the failure of individual ones. We present a novel approach to determining asymptotic stability and robustness of a network consisting of coupled dynamical systems, where individual system dynamics are represented through polynomial or rational functions. The analysis relies on a local analysis; thus, making it computationally implementable. We present an efficient computational method that relies on semidefinite programming. Importantly, for cases where multiple equilibrium points exist, we show how to determine regions around an asymptotically stable equilibrium point that bounds solutions. These regions increase when systems are coupled as we observe when applying the presented analysis framework to a mathematical model of a continuous stirred tank reactor. Importantly, the presented work has implications to other fields as well.
dc.format.extent 39
dc.language.iso en
dc.publisher MDPI AG
dc.relation.ispartofseries Systems;8(4)
dc.rights info:eu-repo/semantics/openAccess
dc.subject Coupled nonlinear systems
dc.subject Stability
dc.subject Robustness
dc.subject Semidefinite programming
dc.subject Sum of squares decomposition
dc.subject Continuous stirred tank reactor
dc.subject Tölvunet
dc.subject Kraftur
dc.subject Jafnvægi
dc.subject Reiknilíkön
dc.subject Forritun
dc.title Determining Asymptotic Stability and Robustness of Networked Systems
dc.type info:eu-repo/semantics/article
dcterms.license This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution(CC BY) license (http://creativecommons.org/licenses/by/4.0/).
dc.description.version "Peer Reviewed"
dc.identifier.doi 10.3390/systems8040039
dc.relation.url https://www.mdpi.com/2079-8954/8/4/39/pdf
dc.contributor.department Verkfræðideild (HR)
dc.contributor.department Department of Engineering (RU)
dc.contributor.school Tæknisvið (HR)
dc.contributor.school School of Technology (RU)

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