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dc.contributor.authorValbuena, Luis
dc.contributor.authorHeileman, Gregory L.
dc.contributor.authorHemmady, Sameer
dc.contributor.authorSchamiloglu, Edl
dc.date.accessioned2020-09-14T22:56:16Z
dc.date.available2020-09-14T22:56:16Z
dc.date.issued2019-09
dc.identifier.citationValbuena, L., Heileman, G. L., Hemmady, S., & Schamiloglu, E. (2019, September). A Hamilton-Jacobi Equation for Evaluating EEMI Propagation in a Computing System. In 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA) (pp. 0851-0856). IEEE.en_US
dc.identifier.doi10.1109/iceaa.2019.8879393
dc.identifier.urihttp://hdl.handle.net/10150/643348
dc.description.abstractIn this paper, we present a theoretical framework for modeling the empirically observed cascading of software failures on a complicated computing system exposed to extreme electromagnetic interference (EEMI). Our approach is to treat the temporal evolution of the electromagnetic coupling and the resultant cascading series of electromagnetic-induced faults as the "flow" in a dynamic fluid-mechanical system and thereby utilize aspects of the Navier Stokes and Hamilton-Jacobi equations to predict the rate of this flow. Therefore, inspired by the concepts of fluid dynamics [1], we include a diffusion term in the Hamilton-Jacobi-Isaacs (HJI) equation. We have considered two approaches. In one we apply a Taylor expansion to the optimality principle and consider additional terms; in the other scenario, we simply add a diffusion term in the form of a Laplacian applied to the cost function H(x,...) and some constant c, as it is present in the Navier-Stokes equation for incompressible flow. We provide numerical comparisons for both approaches with respect to the original HJI equation where the dynamical vector field corresponds to analytical models of a NOR logic gate. This model is a second-order differential equation that describes the behavior of the gate that incorporates a new term accounting for EEMI injection.en_US
dc.language.isoenen_US
dc.publisherIEEEen_US
dc.rightsCopyright © 2019 IEEEen_US
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en_US
dc.source2019 International Conference on Electromagnetics in Advanced Applications (ICEAA)
dc.subjectHamilton-Jacobi-Isaacsen_US
dc.subjectEEMIen_US
dc.subjectelectromagneticsen_US
dc.titleA Hamilton-Jacobi Equation for Evaluating EEMI Propagation in a Computing Systemen_US
dc.typeArticleen_US
dc.contributor.departmentUniv Arizonaen_US
dc.identifier.journalPROCEEDINGS OF THE 2019 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA)en_US
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en_US
dc.eprint.versionFinal accepted manuscripten_US
refterms.dateFOA2020-09-14T22:56:17Z


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