Abstract
The relaxation methods, such as described by Warga (1972), are applied to the study of state-constrained optimal control problems governed by semilinear elliptic equations. The main issue is to prove the convergence of the solutions of the discretized control problems to optimal controls of the relaxed continuous problem. In order to obtain this result we make a stability assumption of the optimal cost functional with respect to small perturbation of the feasible state set.
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© 1996 Springer Science+Business Media Dordrecht
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Casas, E. (1996). The relaxation theory applied to optimal control problems of semilinear 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_20
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DOI: https://doi.org/10.1007/978-0-387-34897-1_20
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