WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 11, 2016
A Second Order Constraint Qualification for Certain Classes of Optimal Control Problems
Authors: ,
Abstract: In this paper we introduce a second order constraint qualification which yields necessary conditions for optimal control problems with inequality and equality constraints in the time variable and the control functions. The second order conditions are shown to hold on a cone of critical directions which properly contains not only the cone obtained by considering only active constraints but also the usual one which depends on the sign of the corresponding Lagrange multipliers.