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Abstract:

We consider the optimal control problem of a class of integral equations with initial and final state constraints, as well as running state constraints. We prove Pontryagin's principle, and study the continuity of the optimal control and of the measure associated with first order state constraints. We also establish the Lipschitz continuity of these two functions of time for problems with only first order state constraints. © Springer Science+Business Media B.V. 2010.

Registro:

Documento: Artículo
Título:Optimal control of state constrained integral equations
Autor:Bonnans, J.F.; de la Vega, C.S.F.
Filiación:INRIA-Saclay and Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau, France
CONICET and Departamento de Matematica, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Ekeland's principle; Integral equations; Optimal control; Pontryagin principle; State constraints
Año:2010
Volumen:18
Número:3-4
Página de inicio:307
Página de fin:326
DOI: http://dx.doi.org/10.1007/s11228-010-0154-8
Título revista:Set-Valued and Variational Analysis
Título revista abreviado:Set-Valued Var. Anal.
ISSN:09276947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09276947_v18_n3-4_p307_Bonnans

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Citas:

---------- APA ----------
Bonnans, J.F. & de la Vega, C.S.F. (2010) . Optimal control of state constrained integral equations. Set-Valued and Variational Analysis, 18(3-4), 307-326.
http://dx.doi.org/10.1007/s11228-010-0154-8
---------- CHICAGO ----------
Bonnans, J.F., de la Vega, C.S.F. "Optimal control of state constrained integral equations" . Set-Valued and Variational Analysis 18, no. 3-4 (2010) : 307-326.
http://dx.doi.org/10.1007/s11228-010-0154-8
---------- MLA ----------
Bonnans, J.F., de la Vega, C.S.F. "Optimal control of state constrained integral equations" . Set-Valued and Variational Analysis, vol. 18, no. 3-4, 2010, pp. 307-326.
http://dx.doi.org/10.1007/s11228-010-0154-8
---------- VANCOUVER ----------
Bonnans, J.F., de la Vega, C.S.F. Optimal control of state constrained integral equations. Set-Valued Var. Anal. 2010;18(3-4):307-326.
http://dx.doi.org/10.1007/s11228-010-0154-8