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dc.contributor.authorHofleitner, Aude
dc.contributor.authorClaudel, Christian G.
dc.contributor.authorBayen, Alexandre M.
dc.date.accessioned2015-08-24T09:26:43Z
dc.date.available2015-08-24T09:26:43Z
dc.date.issued2012-06
dc.identifier.citationHofleitner, A., Claudel, C., & Bayen, A. (2012). Reconstruction of boundary conditions from internal conditions using viability theory. 2012 American Control Conference (ACC). doi:10.1109/acc.2012.6314947
dc.identifier.isbn9781457710957
dc.identifier.issn07431619
dc.identifier.doi10.1109/acc.2012.6314947
dc.identifier.urihttp://hdl.handle.net/10754/575806
dc.description.abstractThis article presents a method for reconstructing downstream boundary conditions to a HamiltonJacobi partial differential equation for which initial and upstream boundary conditions are prescribed as piecewise affine functions and an internal condition is prescribed as an affine function. Based on viability theory, we reconstruct the downstream boundary condition such that the solution of the Hamilton-Jacobi equation with the prescribed initial and upstream conditions and reconstructed downstream boundary condition satisfies the internal value condition. This work has important applications for estimation in flow networks with unknown capacity reductions. It is applied to urban traffic, to reconstruct signal timings and temporary capacity reductions at intersections, using Lagrangian sensing such as GPS devices onboard vehicles.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.titleReconstruction of boundary conditions from internal conditions using viability theory
dc.typeConference Paper
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentDistributed Sensing Systems Laboratory (DSS)
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journal2012 American Control Conference (ACC)
dc.conference.date27-29 June 2012
dc.conference.nameAmerican Control Conference (ACC), 2012
dc.conference.locationMontreal, QC
dc.contributor.institutionElectrical Engineering and Computer Sciences, Civil and Environmental Engineering, UC Berkeley, United States
kaust.personClaudel, Christian G.


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