[HTML][HTML] Sixty Years of the Maximum Principle in Optimal Control: Historical Roots and Content Classification

R Chertovskih, VM Ribeiro, R Gonçalves, AP Aguiar - Symmetry, 2024 - mdpi.com
This study examines the scientific production focused on the Maximum Principle between
1962 and 2021. Results indicate a consistent increase in the absolute number of …

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 …

Fundamentals of synthesized optimal control

A Diveev, E Shmalko, V Serebrenny, P Zentay - Mathematics, 2020 - mdpi.com
This paper presents a new formulation of the optimal control problem with uncertainty, in
which an additive bounded function is considered as uncertainty. The purpose of the control …

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 normality in optimal control problems with state constraints

DY Karamzin, FL Pereira - Computational Mathematics and Mathematical …, 2023 - Springer
A general optimal control problem with endpoint, mixed and state constraints is considered.
The question of normality of the known necessary optimality conditions is investigated …

Approaches to numerical solution of optimal control problem using evolutionary computations

A Diveev, E Sofronova, S Konstantinov - Applied Sciences, 2021 - mdpi.com
Two approaches to the numerical solution of the optimal control problem are studied. The
direct approach is based on the reduction of the optimal control problem to a nonlinear …

Studying the Efficiency of Parallelization in Optimal Control of Multistage Chemical Reactions

M Sakharov, K Koledina, I Gubaydullin, A Karpenko - Mathematics, 2022 - mdpi.com
In this paper, we investigate the problem of optimal control of complex multistage chemical
reactions, which is considered a nonlinear global constrained optimization problem. This …

On Higher-Order State Constraints

D Karamzin, FL Pereira - SIAM Journal on Control and Optimization, 2023 - SIAM
A higher-order state-constrained optimal control problem is considered. A nondegenerate
maximum principle is obtained based on the corresponding inward and outward pointing …

Approaches to numerical analysis of optimal control with linear phase constraints on the example of the assets and liabilities management by a bank

A Zhukova, A Flerova, A Chernov… - Journal of Computational …, 2025 - Elsevier
This paper presents the research of approaches to numerically compute the solution to an
optimal control problem with phase constraints. Such models are typical for economic …

Application of Optimization Methods in Solving the Problem of Optimal Control of Assets and Liabilities by a Bank

A Chernov, A Flerova, A Zhukova - International Conference on …, 2023 - Springer
In this work the possibilities of applying optimization methods to solving the optimal control
problem are studied. We consider a model of interaction between a bank and its depositors …