Optimal control of Goursat-Darboux systems in domains with curvilinear boundaries

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dc.creatorBelbas, S. A.
dc.date2005-09-03
dc.date.accessioned2026-07-07T05:22:56Z
dc.date.available2026-07-07T05:22:56Z
dc.descriptionWe derive necessary conditions for optimality in control problems governed by hyperbolic partial differential equations in Goursat-Darboux form. The conditions consist of a set of Hamiltonian equations in Goursat form, side conditions for the Hamiltonian equations, and an extremum principle akin to Pontryagin's maximum principle. The novel ingredient is that the domain over which the optimal control problem is posed is not rectangular. The non-rectangular nature of the domain affects the optimality conditions in a substantial way.
dc.description50 pages
dc.identifierhttps://arxiv.org/abs/math/0509070
dc.identifierhttp://arxiv.org/abs/math/0509070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76251
dc.subjectOptimization and Control
dc.subjectAnalysis of PDEs
dc.subject49J20; 49K20; 35L70; 35R30
dc.titleOptimal control of Goursat-Darboux systems in domains with curvilinear boundaries
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