Computational optimization and applications, 2012-05, Vol.52 (1), p.147-179
2012
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- Autor(en) / Beteiligte
- Titel
- Sensitivity analysis of hyperbolic optimal control problems
- Ist Teil von
- Computational optimization and applications, 2012-05, Vol.52 (1), p.147-179
- Ort / Verlag
- Boston: Springer US
- Erscheinungsjahr
- 2012
- Quelle
- Business Source Ultimate【Trial: -2024/12/31】【Remote access available】
- Beschreibungen/Notizen
- The aim of this paper is to perform sensitivity analysis of optimal control problems defined for the wave equation. The small parameter describes the size of an imperfection in the form of a small hole or cavity in the geometrical domain of integration. The initial state equation in the singularly perturbed domain is replaced by the equation in a smooth domain. The imperfection is replaced by its approximation defined by a suitable Steklov’s type differential operator. For approximate optimal control problems the well-posedness is shown. One term asymptotics of optimal control are derived and justified for the approximate model. The key role in the arguments is played by the so called “hidden regularity” of boundary traces generated by hyperbolic solutions.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0926-6003eISSN: 1573-2894DOI: 10.1007/s10589-010-9375-xTitel-ID: cdi_hal_primary_oai_HAL_hal_00530949v1
- Format
- –
- Schlagworte
- Analysis of PDEs, Approximation, Asymptotic properties, Boundaries, Boundary conditions, Boundary value problems, Control theory, Convex and Discrete Geometry, Defects, Management Science, Mathematical analysis, Mathematical models, Mathematics, Mathematics and Statistics, Operations Research, Operations Research/Decision Theory, Optimal control, Optimization, Partial differential equations, Sensitivity analysis, Statistics, Studies