Title :
Pontryagin´s principle for the optimal control of semilinear elliptic systems with state constraints
Author :
Bonnans, Frédéric
Author_Institution :
INRIA, Rocquencourt, France
Abstract :
The author considers a nonconvex optimal control problem for a semilinear elliptic system with distributed control and rather general nonlinearity in the cost and state equation. The problem includes punctual constraints in the control and the cost. The author derives for almost all problems of this type necessary optimality conditions in qualified form involving the minimization of some Hamiltonian. These conditions appear as the natural extension of Pontryagin´s principle for the optimal control of ODEs
Keywords :
control nonlinearities; distributed control; distributed parameter systems; optimal control; optimisation; Hamiltonian; Pontryagin´s principle; distributed control; distributed parameter systems; minimization; necessary optimality conditions; nonconvex optimal control; nonlinearity; ordinary differential equations; semilinear elliptic systems; state constraints; Boundary conditions; Control systems; Cost function; Differential equations; Distributed control; Ear; Nonlinear equations; Optimal control; Stability; State estimation;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261763
