This paper concerns a derivation of second-order necessary conditions for a fixed-endpoint
control problem of Lagrange involving mixed equality and/or inequality constraints, posed …

In this paper, we extend neighboring extremal optimal control, which is well established for
optimal control problems defined on a Euclidean space (see, eg,[8]) to the setting of …

Admissible directions and generalized coupled points for optimal control problems | Nonlinear
Analysis: Theory, Methods & Applications skip to main content ACM Digital Library home ACM …

For the fixed-endpoint optimal-control problem, with the set of constraints on the state and
control functions arbitrary, we provide in this paper a definition of conjugate point together …

Some classical references in the literature include second-order necessary conditions for
the isoperimetric problem of Lagrange in the calculus of variations involving inequality and …

In this paper we deal with second order necessary conditions for the problem of Lagrange in
the calculus of variations posed over piecewise smooth trajectories and involving inequality …

In this paper we study a fundamental aspect of the theory of second order necessary
conditions for certain classes of optimal control problems involving equality and/or inequality …

There is a substantial literature treating the question of uniqueness of Lagrange multipliers
in mathematical programming, as well as that of finding useful characterizations and …

In a well-known paper by Kyparisis it is proved that, in nonlinear programming, the
uniqueness of Lagrange multipliers is equivalent to a strict version of the Mangasarian …

This paper presents extended sufficiency results for the local minimality of an extremal of the
Bolza problem. These results provide an essential improvement in the state of the art …