Sufficient optimality conditions for infinite-dimensional optimization problems are derived in
a setting that is applicable to optimal control with endpoint constraints and with equality and …

Abstract References 1–4 develop second-order sufficient conditions for local minima of
optimal control problems with state and control constraints. These second-order conditions …

In this expository article, we examine several recently proved second order sufficiency
theorems for nonlinear programs with smooth structured nonconvex cost functions and affine …

The goal of this paper is to conduct a complete study of second-order conditions for the
optimal control problem with mixed state-control constraints. The conjugate point theory is …

This paper considers parametric nonlinear control problems subject to mixed control-state
constraints. The data perturbations are modeled by a parameter p of a Banach space. Using …

Concentric tube robots, which are comprised of precurved elastic tubes that are
concentrically arranged, are being developed for many medical interventions. The shape of …

Strong second-order sufficient optimality conditions (SSC) are derived for optimal control
problems of systems described by nonlinear ODEs subject to mixed control-state and pure …

Perturbed nonlinear control problems with data depending on a vector parameter are
considered. Using second-order sufficient optimality conditions, it is shown that the optimal …

We investigate characteristics of the Hamilton-Jacobi-Bellman equation arising in nonlinear
optimal control and their relationship with weak and strong local minima. This leads to an …

In this paper we present, for optimal control problems with smooth control constraints,
second-order necessary conditions stated in terms of conjugate points and a Riccati-type …