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 …

[PDF][PDF] State Parameterization Basic Spline Functions for Trajectory Optimization

MM Delphi, SN Shihab - Journal of Nature, Life and Applied …, 2019 - academia.edu
An important type of basic functions named basis spline (B-spline) is provided a simpler
approximate and more stable approach to solve problems in optimal control. Furthermore, it …

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 problems in drone operations for disaster search and rescue

FL Pereira - Procedia Computer Science, 2021 - Elsevier
This article concerns some optimal control problems arising in the operation of drone
systems to support search and rescue operations in the aftermath of disasters, such as …

On regularity conditions in higher-order state-constrained control problems

DY Karamzin - Journal of Computational and Applied Mathematics, 2024 - Elsevier
This work is aimed at the study of optimal control problems with state constraints of higher
order. Such problems are due to multi-level dynamical control systems of triangle-type which …

On the Brachistochrone problem with state constraints on the slope angle

OY Cherkasov, NV Smirnova - International Journal of Non-Linear …, 2022 - Elsevier
The problem of maximizing the horizontal coordinate of a point moving in a vertical plane
under the action of gravity forces, viscous friction, and the interrelated Brachistochrone …

Regular perturbations to the motion of a three-wheeled mobile robot with the front-wheel drive under restricted state variables

R Chertovskih, A Daryina, A Diveev… - 2020 European …, 2020 - ieeexplore.ieee.org
The time-optimal motion of a three-wheeled mobile robot with the front-wheel drive in the
presence of a state constraint given by the unit circle is investigated. The poor property of …

Necessary conditions of optimality in the Gamkrelidze's form for state constrained problems with differential inclusion

NT Khalil, FL Pereira - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
In this letter, necessary conditions of optimality in the Gamkrelidze's form for a state
constrained optimal control problem whose dynamics are given by a differential inclusion …

One example of a k-order state-constrained control problem

D Karamzin, A Zhukova - 2024 10th International Conference …, 2024 - ieeexplore.ieee.org
This work is aimed at the study of optimal control problems with higher-order state
constraints. These are due to multi-level dynamical control systems of triangle-type which …

A Simple Mathematical Model to Steering Oceanic Debris to a Targeted Region

C Balsa, MV Otero-Espinar, S Gama - International Conference on …, 2023 - Springer
In this article, a simplified mathematical model is presented to depict the process of
collecting ocean debris. The responsible autonomous vehicles for transporting the trash are …