Abstract
This paper deals with the application of invariant imbedding to the solution of a control problem of a system governed by a second order elliptic equation. The basic idea is to take advantage of the geometry of the domain (for instance a cylinder or a rectangle) to consider that one space variable plays the role of time for dynamical systems. Then it is possible to decouple the system of optimality in order to get the explicit dependence of the optimal control with respect to the desired state.
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Bellman, R., Dreyfus S. (1962) Applied Dynamic Programming Princeton University Press.
Lions, J.L., (1968) Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles Dunod.
Ramos, A.M. to appear.
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© 1996 Springer Science+Business Media Dordrecht
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Henry, J., Yvon, J.P. (1996). On the use of space invariant imbedding to solve optimal control problems for second order elliptic equations. In: Doležal, J., Fidler, J. (eds) System Modelling and Optimization. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34897-1_21
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DOI: https://doi.org/10.1007/978-0-387-34897-1_21
Publisher Name: Springer, Boston, MA
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