An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities
Bonnans, J. Frederic ; Casas, Eduardo
HAL, Report N°: RR-1747 / Harvested from HAL
Text on HAL
This paper deals with state-constrained optimal control problems governed by semilinear elliptic equations or variational inequalities. By using Ekeland's principle, we derive a minimum principle of Pontryagin's type under some stability conditions of the optimal cost with respect to the state constraints.
Publié le : 1992-07-05
Classification:  [INFO.INFO-OH]Computer Science [cs]/Other [cs.OH],  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{Report N°: RR-1747,
     author = {Bonnans, J. Frederic and Casas, Eduardo},
     title = {An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities},
     journal = {HAL},
     volume = {1992},
     number = {0},
     year = {1992},
     language = {en},
     url = {http://dml.mathdoc.fr/item/Report N°: RR-1747}
}

Bonnans, J. Frederic; Casas, Eduardo. An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. HAL, Tome 1992 (1992) no. 0, . http://gdmltest.u-ga.fr/item/Report%20N%C2%B0:%20RR-1747/