In the paper, we consider a class dynamic control system with a discrete parameter and under conditions of uncertainty in the initial data. The optimal control problem of the minimax type is formulated for a non-smooth terminal functional using the principle of the best-guaranteed result. This problem is studied by methods of multivalued and convex analysis. For this non-smooth control problem the necessary and sufficient conditions for optimality are obtained.
| Mualliflar | Haydarov , T.T. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2025-11-03 |
| Jild | 69 |
| Son | 4 |
| Betlar | 108-112 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2025-4-11 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2025-4-11 · Maqolaning asl sahifasi
control system, discrete parameter, terminal functional, minimax, non-smooth control problem, conditions for optimality
| APA | Haydarov , T.T. (2025). On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty. O‘zbekiston matematika jurnali, 69(4), 108-112. https://doi.org/10.29229/uzmj.2025-4-11 |
|---|---|
| GOST (OAK) | Haydarov , T.T. On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 4. – P. 108-112. – DOI: 10.29229/uzmj.2025-4-11. |
| MLA | Haydarov , T.T. “On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty.” O‘zbekiston matematika jurnali, 69(4), 108-112, 2025. https://doi.org/10.29229/uzmj.2025-4-11 |
| Chicago | Haydarov , T.T. “On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty.” O‘zbekiston matematika jurnali, 69(4), 108-112 (2025). https://doi.org/10.29229/uzmj.2025-4-11 |
| Harvard | Haydarov , T.T (2025) ‘On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty’, O‘zbekiston matematika jurnali, 69(4), 108-112. https://doi.org/10.29229/uzmj.2025-4-11 |
| BibTeX | @article{haydarovtt2025,
title = {On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty},
author = {Haydarov , T.T.},
journal = {O‘zbekiston matematika jurnali},
year = {2025},
volume = {69},
number = {4},
pages = {108-112},
doi = {10.29229/uzmj.2025-4-11},
url = {https://doi.org/10.29229/uzmj.2025-4-11}
} |
Boshqa maqola uchun iqtibos tayyorlash
Let $R$ be a ring, and let $M$ be a right $R$-module. Recently, Baannon and Khalid introduced and studied the concept of $e^*$-essential submodules, extending the notion of essential submodules. In this context, we…
Let $Q$ be the field of rational numbers and $Q^{2}$ be the $2$-dimensional linear space over $Q$. A classification of all non-degenerate symmetric bilinear-metric forms over $Q^{2}$ have obtained. Let $\varphi $ be a…
Let $B$ be a complete Boolean algebra, let $Q(B)$ be the Stone compact of $B$, let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x:Q(B) \rightarrow [-\infty,+\infty],$ assuming…
In this paper we study a ratio-dependent predator-prey model with a free boundary caused by predator-prey interaction over a one dimensional habitat. We study the long time behaviors of the two species and prove a…
Hypergeometric functions are divided into complete and confluent functions. For the first time, Srivastava and Karlsson described a method for constructing a set of all possible triple Gaussian hypergeometric series and…
We analyze an evasion differential game involving one evader and multiple pursuers in $\R^n$. The control functions of the players are subject to exponential integral constraints to ensure bounded energy consumption…
This paper studies an analog of the Tricomi problem for a loaded parabolic-hyperbolic equation of the second kind, which degenerates inside the domain. In proving the existence and uniqueness theorem for a classical…
In this paper the spectral properties of the nonlocal Samarskii-Ionkin type problems for a fourth-order ordinary differential equation are investigated. The eigenvalues and corresponding eigenfunctions are found and…
In this paper, an initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order in a rectangle is formulated and investigated. The method of energy…
In the domain $ \Omega\subset E_{5} $ we consider a set of smooth lines such that through each point $X\in\Omega$ there passes exactly one line $\omega^{1}$ from the given set. The moving frame of the domain $\Omega$ is…
O‘zbekiston matematika jurnali — barcha maqolalar · 2025-yil arxivi
This article presents the results of 2018-2023, such as biological diversity, inter-landscape distribution characteristics, density,and number of straggly insects identified from natural and anthropogenic areas of…
This article observational data on the species composition, distribution, population, density, and seasonal damage caused causedby herbivorus bugs. Observationes were carried out in April and September 2021. When…
In the article, the research fields of some species belonging to Paeonia, their significance in human life, adaptation features tovarious ecological conditions are highlighted, and the ecologist groups and other…
This article studies the number of species, population density of terrestrial mollusks of the Topalangdarya basin, located in theSurkhandarya region of Uzbekistan, in various altitudinal regions and biotopes and…
This article sheds light on changes in biomass formation and antimicrobial activity against test pathogenic strains under theinfluence of epigenetic modifiers and elicitors of the endophytic fungus Penicillium…
Shahimardonsoy covered issues such as the soil in the river basin and measures to increase its condition, salinity and fertility, theflora and fauna present in the basin landscape and their conservation.