Optimization of Second-Order Discrete Approximation Inclusions

摘要: The present article studies the approximation of Bolza problem optimal control theory with a fixed time interval given by convex and non-convex second-order differential inclusions (P C ). Our main goal is to derive necessary sufficient conditions for Cauchy discrete D As supplementary problem, DA ) considered. Necessary conditions, including distinctive transversality, are proved incorporating Euler-Lagrange Hamiltonian type inclusions. basic concept obtaining locally adjoint mappings (LAM) equivalence theorems, one most characteristic features such approaches that peculiar presence relations LAMs. Furthermore, application these results demonstrated solving some