Constrained optimization through augmentability

摘要

The main purpose of this paper is to show how the theory of augmentability in optimization can be applied to problems involving equality and inequality constraints. The problems considered need not be finite dimensional so that the theory can be generalized to calculus of variations or optimal control problems. In particular, an assumption of augmentability is used in place of normality to establish first and second order necessary conditions for a minimum for optimal control problems involving mixed equality constraints.