Abstract
This paper is devoted to the study of finite horizon optimal control problems with boundary control. We prove a sufficient condition for optimality of trajectory—control pairs, using a non—smooth analysis approach. We formulate this condition in terms of an Hamiltonian system for which we show an existence and uniqueness result.
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Cannarsa, P., Tessitore, M.E. (1994). Optimality Conditions for Boundary Control Problems of Parabolic Type. In: Desch, W., Kappel, F., Kunisch, K. (eds) Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. ISNM International Series of Numerical Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8530-0_5
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DOI: https://doi.org/10.1007/978-3-0348-8530-0_5
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