Regular and Strongly Regular Time and Norm Optimal Controls
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H. O. Fattorini
hof@math.ucla.edu
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Abstract
Pontryagin‘s maximum principle in its infinite dimensional version provides (separate) necessary and sufficient conditions for both time and norm optimality for the system y”² = Ay + u (A the infinitesimal generator of a strongly continuous semigroup). Among controls that satisfy the maximum principle, a smoothness distinction can be defined in terms of smoothness of the final value of the costate. This paper addresses some issues related to this distinction.
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