DocumentCode
3478581
Title
Pontryagin´s principle for the optimal control of semilinear elliptic systems with state constraints
Author
Bonnans, Frédéric
Author_Institution
INRIA, Rocquencourt, France
fYear
1991
fDate
11-13 Dec 1991
Firstpage
1976
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location
Brighton
Print_ISBN
0-7803-0450-0
Type
conf
DOI
10.1109/CDC.1991.261763
Filename
261763
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