On the variational stability of a class of nonlinear parabolic optimal control problems
1997 ◽
Vol 39
(1)
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pp. 77-92
Keyword(s):
AbstractIn this paper we study parametric optimal control problems governed by a nonlinear parabolic equation in divergence form. The parameter appears in all the data of the problem, including the partial differential operator. Using as tools the G-convergence of operators and the Γ-convergence of functionals, we show that the set-valued map of optimal pairs is upper semicontinuous with respect to the parameter and the optimal value function responds continuously to changes of the parameter. Finally in the case of semilinear systems we show that our framework can also incorporate systems with weakly convergent coefficients.
1996 ◽
Vol 15
(1)
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pp. 245-262
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1998 ◽
Vol 35
(6)
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pp. 95-103
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2010 ◽
pp. 247-255
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2013 ◽
Vol 31
(3_4)
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pp. 479-490
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Indirect Multiple Shooting for Nonlinear Parabolic Optimal Control Problems with Control Constraints
2014 ◽
Vol 36
(2)
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pp. A452-A481
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1993 ◽
Vol 77
(1)
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pp. 31-50
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2012 ◽
Vol 50
(4)
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pp. 1995-2024
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