Abstract
We prove a sufficient condition for time and norm optimality of controls for linear parabolic distributed parameter systems with a pointwise bound on the controls, and explore its interplay with existing necessary conditions. This sufficient condition produces simple examples of optimal controls.
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Fattorini, H.O. (2003). Time and Norm Optimal Controls for Linear Parabolic Equations: Necessary and Sufficient Conditions. In: Desch, W., Kappel, F., Kunisch, K. (eds) Control and Estimation of Distributed Parameter Systems. ISNM International Series of Numerical Mathematics, vol 143. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8001-5_10
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DOI: https://doi.org/10.1007/978-3-0348-8001-5_10
Publisher Name: Birkhäuser, Basel
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