Conditions for generic normality in optimal control
Por:
Rosenblueth J.F.
Publicada:
1 ene 1987
Resumen:
Optimal control problems in which the necessary conditions of Pontryagin's maximum principle do not involve the cost or performance index are called abnormal. In this paper we study normality through perturbations of the endpoint set. It is known that normality holds for all problems obtained by translating the original endpoint set in directions belonging to a dense set. When the equations of motion are linear in the state variable, we enlarge this set of directions to a full (Lebesgue) measure set, showing that its complement is contained in the relative boundary of a convex set. For nonlinear systems we show that by enlarging the endpoint set, instead of translating it, normality is also guaranteed almost everywhere. © 1987.
Filiaciones:
Rosenblueth J.F.:
Centro de Investigación en Matemáticas, Apdo. 402, Guanajuato, Gto. 36000, Mexico
|