Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems

PAMM 2026 Open access

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Authors: Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober‐Blöbaum, Rodrigo T. Sato Martín de Almagro
DOI: 10.1002/pamm.70141
Cited by: 0

Abstract

ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach. In this paper, we extend the first‐order necessary optimality conditions obtained in study by Konopik et al. to second‐order optimality conditions. This results in a complete characterization of the optimality conditions in a new Lagrangian form.

Fields of Study & Subjects

Aerospace Engineering and Control Systems Spacecraft Dynamics and Control Optimization and Variational Analysis

Publication details

Journal / source
PAMM
Volume
26
Issue
2
Publication date
28 April 2026
Language
EN