Strong Regularity of Time and Norm Optimal Controls
نویسنده
چکیده
Pontryagin’s maximum principle in its infinite dimensional version provides (separate) necessary and su cient conditions for both time and norm optimality for the system y0 = Ay + u (A the infinitesimal generator of a strongly continuous semigroup); in particular it provides a costate z(t) for every time or norm optimal control ū(t) hitting a target ȳ 2 D(A). This paper shows that for the right translation semigroup the same condition on ȳ guarantees that z(T ) 2 E⇤, which in turn implies continuity of optimal controls in the entire control interval [0, T ].
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