Approximate optimal control for a parabolic system with perturbations in the coefficients on the half-axis

OA Kapustian, OV Kapustyan, A Ryzhov, V Sobchuk - Axioms, 2022 - mdpi.com
Axioms | Free Full-Text | Approximate Optimal Control for a Parabolic System with
Perturbations in the Coefficients on the Half-Axis Next Article in Journal Fuzzy Multi Criteria …

[PDF][PDF] Design of Stable Periodic Regimes for one Class of Hybrid Planar Systems.

V Sobchuk, O Kapustyan, V Pichkur, OA Kapustian - IntSol, 2021 - academia.edu
The conditions for the existence of limit regimes for the Liénard equation, the solutions of
which are subjected to instantaneous forces of impulse nature at unfixed moments in time …

[PDF][PDF] Approximate Optimal Control for a Parabolic System with Perturbations in the Coefficients on the Half-Axis. Axioms 2022, 11, 175

OA Kapustian, OV Kapustyan, A Ryzhov… - … Theory and Related …, 2022 - academia.edu
axioms Page 1 Citation: Kapustian, OA; Kapustyan, OV; Ryzhov, A.; Sobchuk, V. Approximate
Optimal Control for a Parabolic System with Perturbations in the Coefficients on the Half-Axis …

Application of the averaging method to the optimal control problem of non-linear differential inclusions on the finite interval

T Zhuk, N Kasimova, A Ryzhov - Axioms, 2022 - mdpi.com
Axioms | Free Full-Text | Application of the Averaging Method to the Optimal Control
Problem of Non-Linear Differential Inclusions on the Finite Interval Next Article in Journal …

Optimal control problem for a differential inclusion with rapidly oscillating coefficients on the semiaxis

OD Kichmarenko, OA Kapustian, NV Kasimova… - Journal of Mathematical …, 2023 - Springer
We study the optimal control problem for a system of differential inclusions with rapidly
oscillating coefficients on the semiaxis. For this purpose, we use the averaging method. The …

Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory

O Kapustyan, O Kapustian, O Stanzytskyi, I Korol - Archivum Mathematicum, 2023 - dml.cz
In this paper we establish the existence of the uniform attractor for a semi linear parabolic
problem with bounded non autonomous disturbances in the phase space of continuous …

[PDF][PDF] Optimal control problems for some classes of functional-differential equations on the semi-axis

O Kichmarenko, O Stanzhytskyi - Miskolc Mathematical Notes, 2019 - real.mtak.hu
In this paper we study functional-differential equations on the semi-axis, which are non-
linear with respect to the phase variables and linear with respect to the control. Sufficient …

Averaging Method in the Problem of Optimal control for a Perturbed Parabolic Equation.

OV Kapustyan, OM Stanzhytskyi… - Ukrainian …, 2022 - search.ebscohost.com
We consider the problem of optimal control formed by a parabolic nonlinear equation with
rapidly oscillating coefficients, an additive control function, and a coercive cost functional. It …

Robust Stability of Limit Regimes in Distributed Signal Transmission RD Systems

O Kapustyan, V Sobchuk, T Yusypiv… - 2022 IEEE 4th …, 2022 - ieeexplore.ieee.org
In this paper, we consider the stability of limit regimes for a general class of nonlinear
distributed mathematical models named Reaction-Diffusion models. RD systems naturally …

Approximate solution of the optimal control problem for non-linear differential inclusion on the semi-axes

N Kasimova, T Zhuk, I Tsyganivska - Georgian Mathematical Journal, 2023 - degruyter.com
We consider the optimal control problem of a non-linear system of differential inclusions with
fast-oscillating parameters on semi-axes. Using the averaging method, we find an …