Title :
Singular arcs in the optimal control of a parabolic equation
Author :
Bonnans, J. Frederic
Author_Institution :
INRIA-Saclay & Centre de Math. Appl., Ecole Polytech., Palaiseau, France
Abstract :
We present a theory of singular arc, and the corresponding second order necessary and sufficient conditions, for the optimal control of a semilinear parabolic equation with scalar control applied on the r.h.s. We obtain in particular an extension of Kelley´s condition, and the characterization of a quadratic growth property for a weak norm.
Keywords :
optimal control; parabolic equations; optimal control; quadratic growth property; scalar control; semilinear parabolic equation; singular arcs; Cost function; Equations; Mathematical model; Optimal control; Switches; Transforms;
Conference_Titel :
Control Conference (ECC), 2013 European
