题目：Necessary optimality conditions for infinite dimensional state constrained control problems
报告人：Prof. Marco Mazzola (Université Pierre et Marie Curie (Paris 6)
摘要：We consider semilinear control systems in infinite dimensional Banach spaces, in the presence of constraints for the state of the system. Necessary optimality conditions for a Mayer problem associated to such systems will be discussed. In particular, a simple proof of a version of the constrained Pontryagin maximum principle, relying on infinite dimensional neighbouring feasible trajectories results, will be provided. The proof includes sufficient conditions for the normality of the maximum principle. Some applications to control problems governed by PDEs will be discussed. This talk is based on a joint work with Hélène Frankowska and Elsa Maria Marchini.