The first order optimality conditions of optimal control problems (OCPs) can be regarded as boundary value for Hamiltonian systems. Variational or symplectic discretisation methods are classically known their excellent long term behaviour. As posed on intervals fixed, moderate length, it is not immediately clear whether profit from structure preservation in this context. When parameters present...

We study in optimal control the important relation between invariance of the problem under a family of transformations, and the existence of preserved quantities along the Pontryagin extremals. Several extensions of Noether theorem are provided, in the direction which enlarges the scope of its application. We formulate a more general version of Noether’s theorem for optimal control problems, wh...

Perturbations in optimal control problems are discussed. Problems including those with state and/or control constraints and discontinuities are considered. The pcrturbations may appear in the functional, as well as in the dynamics, the boundary conditions or the inequality constraints. It is shown that an optimal solution of the disturbed control problem depending continuously differentiably up...

<p style='text-indent:20px;'>In this paper, we consider a class of optimal control problems with constraints on set characteristic time instants. By applying the parameterization technique, these are imposed subdomains that contain points. The values functions as well lengths for their corresponding become decision variables. Time-scaling transformation is an effective technique to optimi...