Pontryagin's Principle for Time-Optimal Problems
J.P., Raymond ; Zidani, H.
HAL, hal-01254047 / Harvested from HAL
We consider time-optimal control problems for semilinear parabolic equations with pointwise state constraints and unbounded controls. A Pontryagin's principle is obtained in nonqualified form without any qualification condition. The terminal time, which is a control variable, satisfies an optimality condition, which seems to be new in the context of control problems for partial differential equations.
Publié le : 1999-07-04
Classification:  Time optimal control problem,  Pontryagin principle,  pointwise state constraints,  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-01254047,
     author = {J.P., Raymond and Zidani, H.},
     title = {Pontryagin's Principle for Time-Optimal Problems},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01254047}
}
J.P., Raymond; Zidani, H. Pontryagin's Principle for Time-Optimal Problems. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01254047/