A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle

A Arutyunov, D Karamzin - Journal of Optimization Theory and Applications, 2020 - Springer
A survey on the theory of maximum principle for state-constrained optimal control problems
is presented. The focus is on such issues as regularity and controllability conditions, non …

An indirect method for regular state-constrained optimal control problems in flow fields

R Chertovskih, D Karamzin, NT Khalil… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article concerns an indirect method to solve state-constrained optimal control problems.
The dynamics of the controlled system is given by ordinary differential equations …

A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems

B Bonnet - ESAIM: Control, Optimisation and Calculus of …, 2019 - esaim-cocv.org
In this paper, we prove a Pontryagin Maximum Principle for constrained optimal control
problems in the Wasserstein space of probability measures. The dynamics is described by a …

Regular path-constrained time-optimal control problems in three-dimensional flow fields

R Chertovskih, D Karamzin, NT Khalil… - European Journal of …, 2020 - Elsevier
This article concerns a class of time-optimal state constrained control problems with
dynamics defined by an ordinary differential equation involving a three-dimensional steady …

Optimal control of the swee** process with a nonsmooth moving set

C Hermosilla, M Palladino - SIAM Journal on Control and Optimization, 2022 - SIAM
In this paper we prove a fully nonsmooth Pontryagin maximum principle for optimal control
problems driven by a swee** process with drift ̇x∈f(t,x,u)-N_C(t)(x). The setting we study …

On some continuity properties of the measure Lagrange multiplier from the maximum principle for state constrained problems

AV Arutyunov, DY Karamzin - SIAM Journal on Control and Optimization, 2015 - SIAM
The continuity of the Lagrange multiplier μ(t) from the maximum principle for control
problems with state constraints is investigated. It is proved, under certain regularity …

On a few questions regarding the study of state-constrained problems in optimal control

D Karamzin, FL Pereira - Journal of Optimization Theory and Applications, 2019 - Springer
The article is focused on the investigation of the necessary optimality conditions in the form
of Pontryagin's maximum principle for optimal control problems with state constraints. A …

Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints

AV Arutyunov, DY Karamzin - Journal of Global Optimization, 2016 - Springer
In this work, an optimal control problem with state constraints of equality type is considered.
Novelty of the problem formulation is justified. Under various regularity assumptions …

Optimal control of endoatmospheric launch vehicle systems: Geometric and computational issues

R Bonalli, B Hérissé, E Trélat - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
In this paper, we develop a geometric analysis and a numerical algorithm, based on indirect
methods, to solve optimal guidance of endoatmospheric launch vehicle systems under …

On sufficient optimality conditions for multiobjective control problems

VA de Oliveira, GN Silva - Journal of Global Optimization, 2016 - Springer
This paper is devoted to presenting optimality conditions for the sufficiency of the maximum
principle for multiobjective optimal control problems with nonsmooth data. Such conditions …