Value function and optimality conditions for semilinear control problems View Full Text


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Article Info

DATE

1992-09

AUTHORS

Piermarco Cannarsa, Halina Frankowska

ABSTRACT

This paper is concerned with optimal control problems of Mayer and Bolza type for systems governed by a semilinear state equationx′(t)=Ax(t) + f(t, x(t), u(t)), u(t) ε U, whereA is the infinitesimal generator of a strongly continuous semigroup in a Banach spaceX. We prove necessary and sufficient conditions for optimality and then use these conditions to investigate properties of the value function related to superdifferentials. Conversely, we use the value function to obtain criteria for optimality and feedback systems. More... »

PAGES

139-169

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01189028

DOI

http://dx.doi.org/10.1007/bf01189028

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1010243393


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