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Grant CNCSISUEFISCDIPNIIIP11.1TE20160868Project informations:Title: Time optimal controllability for infinite dimensional systems Project number: TE 124/2018 Project duration: 10.10.20189.10.2020 Summary: In the framework of this research project our aim is to study controllability problems for infinite dimensional systems. We are mainly interested in the study of the minimum time problem and minimum energy problem associated to a linear system in Banach spaces, very actual subjects in mathematical research. The setting we consider within this project is very general and covers most systems encountered in applications: distributed control systems, boundary control systems, point control systems, neutral functional differential equations. In particular we are interested in boundary control systems, for which the control operator is not bounded. We shall study regularity properties (monotonicity, continuity) for the minimum time function and the minimum energy, the connection between these two functions. We shall provide variational characterizations of the minimum norm controls to get an initial state to a given target in a given time. Also, we shall study the behavior of the cost functions when we have system perturbations. Host institution: "Gheorghe Asachi" Technical University of Iaşi Reasearch team membersStages and activities2018Stage 1. To establish new regularity results for the cost functions associated to a linear system Activities: documentation, updating the bibliography, scientic contacts, analysis, research and establishing preliminary results 2019Stage 2. To prove the equivalence between the minimum time problem and the minimum norm control associated to a linear system Activities: documentation, updating the bibliography, conferences, scientic contacts, analysis, research and publication of the results 2020Stage 3. To study variational problems for optimal control problems Activities: documentation, updating the bibliography, conferences, scientic contacts, analysis, research and publication of the results ResultsPapersScientific reportsConferences 2019  