Abstract
This paper investigates asymptotic controllability of systems governed by semi-linear partial differential equations, under mixed input-state constraints. A unified approach based on viability theory and set-valued analysis, is provided, requiring that the linear part of the system generates a strongly continuous compact semigroup. In the case of convex constraints, it is shown that Michael selection theorem can be used to get existence of the needed feedback control laws. Examples are numerically treated in order to illustrate the results established.
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