Constrained controlled optimization problems involving second-order derivatives

Abstract

In this paper, we investigate the nonlinear Lagrange dynamics associated with two classes of constrained controlled optimization  problems involving secondorder derivatives. More precisely, we formulate and prove necessary conditions of optimality for the  considered variational control problems governed by simple integral functionals and second-order ordinary differential equation (ODE)/  isoperimetric constraints. Moreover, we propose an algorithm to synthesize the concrete steps to be followed for solving constrained  controlled optimization problems.