Affiliation:
1. IIMAS, Universidad Nacional Autonma de Mexico, MEXICO
Abstract
For problems in the calculus of variations involving equality and inequality mixed constraints we characterize, in terms of an extended notion of conjugate points, the sign of a quadratic form which corresponds to the second variation of the integral to be minimized. Second order necessary conditions are then derived assuming the well-known constraint qualification of regularity in the sense that, with respect to the set of mixed constraints, both the tangent cone and the set of tangential constraints coincide.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Computer Science Applications,Control and Systems Engineering
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