Pricing and dynamic service policy for an imperfect production system: Extended Pontryagin's maximum principle for interval control problems

S Das, G Mandal, F Akhtar, AA Shaikh… - Expert Systems with …, 2024 - Elsevier
Pontryagin's maximum principle is one of the most important topics of control theory. It plays
a crucial role in solving variational problems in an alternative way. In this paper, Pontryagin's …

Optimal control of nonlocal continuity equations: Numerical solution

R Chertovskih, N Pogodaev, M Staritsyn - Applied Mathematics & …, 2023 - Springer
The paper addresses an optimal ensemble control problem for nonlocal continuity equations
on the space of probability measures. We admit the general nonlinear cost functional, and …

[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 …

SCOLIONET: An Automated Scoliosis Cobb Angle Quantification Using Enhanced X-ray Images and Deep Learning Models

RR Maaliw III - Journal of Imaging, 2023 - mdpi.com
The advancement of medical prognoses hinges on the delivery of timely and reliable
assessments. Conventional methods of assessments and diagnosis, often reliant on human …

Linear-quadratic problems of optimal control in the space of probabilities

M Staritsyn, N Pogodaev… - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
We study the problem of designing optimal parameter-invariant control for an ensemble of
structurally similar ODEs. The statistical behavior of the ensemble is characterized by the …

Optimal control of distributed ensembles with application to Bloch equations

R Chertovskih, N Pogodaev… - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
Motivated by the problem of designing robust composite pulses for Bloch equations in the
presence of natural perturbations, we study an abstract optimal ensemble control problem in …

Optimal Control of Diffusion Processes: Infinite-Order Variational Analysis and Numerical Solution

R Chertovskih, N Pogodaev… - IEEE Control Systems …, 2024 - ieeexplore.ieee.org
We tackle a nonlinear optimal control problem for a stochastic differential equation in
Euclidean space and its state-linear counterpart for the Fokker-Planck-Kolmogorov equation …

On Minimum-Dispersion Control of Nonlinear Diffusion Processes

R Chertovskih, N Pogodaev, M Staritsyn… - arXiv preprint arXiv …, 2024 - arxiv.org
This work collects some methodological insights for numerical solution of a" minimum-
dispersion" control problem for nonlinear stochastic differential equations, a particular …

Intelligent module of information processing for the applied software system to provide administrative services

M Dyvak, A Melnyk, N Dyvak, O Papa… - 2021 11th …, 2021 - ieeexplore.ieee.org
The article is devoted to the issue of functioning efficiency improvement of the information
system of administrative services center through implementation of mathematical tools and …

Optimization of external stimuli for populations of theta neurons via mean-field feedback control

R Chertovskih, N Pogodaev, M Staritsyn… - … on Control, Decision …, 2023 - ieeexplore.ieee.org
We study the problem of designing “robust” external excitations for control and
synchronization of an assembly of homotypic harmonic oscillators representing so-called …