Abstract.The dual approach to dynamic programming for the generalized problem of Bolza is described. A suitable verification theorem is proved and a dual optimal feedback control is introduced.
ABSTRACT. Two methods of construction of fields of extremals ("geodesic coverings") in the generalized problem of Bolza are given and, as a consequence, sufficient conditions for optimality in a form similar to Weierstrass' are formulated. The first field theory is an extension of Young's field theory-"concourse of flights" for our problem; the other describes a nonclassical treatment of field theory which allows one to reject the "self-multiplier restriction".
Abstract.The dual approach to dynamic programming for the generalized problem of Bolza is described. A suitable verification theorem is proved and a dual optimal feedback control is introduced.
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