We develop necessary conditions of broad applicability for optimal control problems in
which the state and control are subject to mixed constraints. We unify, subsume, and …

For optimal control problems with set-valued control constraints and pure state constraints
we propose new second-order necessary optimality conditions. In addition to the usual …

Below we derive necessary conditions of optimality for problems with mixed constraints (see
Dmitruk in Control Cybern 38 (4A): 923–957, 2009) using the method of penalty functions …

In this paper we give a complete description of how the Jacobi theory of conjugate points
can be extended to a regular linear-quadratic control problem where the state end-points …

In this article, we state and prove first-and second-order necessary conditions in Pontryagin
form for optimal control problems with pure state and mixed control-state constraints. We say …

Necessary conditions in the form of maximum principles are derived for optimal control
problems with mixed control and state constraints. Traditionally, necessary condtions for …

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 study an optimal control problem with nonsmooth mixed state and control
constraints. In most of the existing results, the necessary optimality condition for optimal …

For an optimal control problem we define a second variation which is invariant under
change of coordinates, and realize it as a linear-quadratic problem. When the strong …

Optimality conditions for control problems with mixed state-control constraints have been the
focus of attention for a long time. In particular, the subject of necessary conditions in the form …