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Задача вывода и сопровождения нели-нейного объекта по заданной траектории
Автоматика и телемеханика. 2015. № 1. С. 3-20.
We formulate the optimal control problem for a class of nonlinear objects that can be represented as objects with linear structure and state-dependent coefficients. We assume that the system is subjected to uncontrollable bounded disturbances. The linear structure of the transformed nonlinear system and the quadratic quality functional let us, in the optimal control synthesis, to pass from Hamilton–Jacobi–Isaacs equations to a state-dependent Riccati Equation. Control of nonlinear uncertain object in the problem of moving along a given trajectory is considered using the theory of differential games. We also give an example that illustrates how theoretical results of this work can be used.
M. : -, 2012
Proceedings include extended abstracts of reports presented at the III International Conference on Optimization Methods and Applications “Optimization and application” (OPTIMA-2012) held in Costa da Caparica, Portugal, September 23—30, 2012. ...
Added: December 20, 2012
M. : [б.и.], 2018
Book include abstracts of reports presented at the IX International Conference on Optimization Methods and Applications "Optimization and applications" (OPTIMA-2018) held in Petrovac, Montenegro, October 1 - October 5, 2018. ...
Added: October 9, 2018
Shnourkoff P. V., Иванов А. В., Дискретная математика 2014 Т. 26 № 1 С. 143-154
В работе рассматривается дискретная стохастическая модель управления запасом некоторого продукта, основанная на использовании управляемого полумарковского процесса. Определены вероятностные характеристики полумарковского процесса, а также характеристики стационарного стоимостного функционала, связанного с этим процессом. В работе установлено, что оптимальной стратегией управления запасом является детерминированная. Получены явные аналитические представления для стационарного функционала, характеризующего качество управления. Задача оптимального управления сведена ...
Added: January 30, 2014
М. : МАКС Пресс, 2017
The collection represents proceedings of the XVIII international conference “Problems of Theoretical Cybernetics” (Penza, 19–23 June, 2017), that is sponsored by Russian Foundation for Basic Research (project N 17-01-20217-г). The conference subject area includes: control systems synthesis, complexity, reliability, and diagnostics; automata; computer languages and programming; graph theory; combinatorics; coding theory; theory of pattern recognition; ...
Added: September 21, 2017
M. : -, 2015
Proсeedings inсlude abstraсts of reports presented at the VI International Conferenсe on Optimization Methods and Appliсations "Optimization and appliсations" (OPTIMA-2015) held in Petrovaс, Montenegro, September 27 - Oсtober 3, 2015. ...
Added: August 8, 2015
[б.и.], 2017
This volume contains proceedings of the 8th International Conference ”Optimization and Applications” (OPTIMA-2017) that was held in Petrovac, Montenegro, during October 2-7, 2017. The Conference brought together researchers and practitioners working in the field of optimization theory, methods, software and related areas. Optimization is now a rapidly growing area in computer science. It is widely ...
Added: November 14, 2017
Alexander P. Afanas’ev, Sergei M. D., Pchelintsev A. et al., Optimization Letters 2018 Vol. V.12 P. 1-11
We present a method for synthesis of optimal control with feedback of nonlinear systems with separated linear part via quadratic criteria. This method is based on a specialmethod of successive approximations, which allows, under standard assumptions, to find optimal control within any finite time interval and to get the procedure of its construction. An example ...
Added: February 14, 2019
Shnourkoff P. V., Засыпко В. В., Вестник МГТУ 2014 № 2 С. 101-115
A mathematical optimal control problem formulated on the basis of the closed-form
dynamic problem of three-sector economy is studied. The system state is described
by a set of functions of specific capital in each sector; the control parameter is the
quantity characterizing a volume of specific investments of the fund-creating sector
playing a key role in the economic system. ...
Added: January 30, 2014
Trautmann P., Vexler B., Zlotnik A., Mathematical Control and Related Fields 2018 Vol. 8 No. 2 P. 411-449
This work is concerned with the optimal control problems governed by the 1D wave equation with variable coefficients and the control spaces $\mathcal M_T$ of either measure-valued functions $L^2(I,\mathcal M(\Omega))$ or vector measures $\mathcal M(\Omega,L^2(I))$. The cost functional involves the standard quadratic terms and the regularization term $\alpha\|u\|_{\mathcal M_T}$, $\alpha>0$. We construct and study three-level ...
Added: April 8, 2017
Afanasiev V., M. : Грифон, 2015
The problem of optimal control for a class of nonlinear objects with uncontrolled bounded disturbances is formulated in the key of differential game. For problems with a quadratic quality functional task of searching for the optimal control reduces the need to find solutions to the scalar partial differential equation Hamilton-Jacobi-Isaacs. Finding solutions to this equation in the operation rate of ...
Added: April 13, 2015
Shnourkoff P. V., Засыпко В. В., Вестник МГТУ 2014 № 4 С. 101-120
В работе продолжается исследование математической задачи оптимального управления, сформулированной на основе закрытой динамической модели трехсекторной экономики, начатое в статье [12]. Состояние системы описывается набором функций удельного капитала в каждом секторе, параметром управления является величина, характеризующая объем удельных инвестиций фондосоздающего сектора, играющего ключевую роль в экономической системе. Решение поставленной задачи оптимального управления основывается на использовании принципа ...
Added: January 30, 2014
Shnourkoff P. V., Иванов А. В., Вестник МГТУ 2013 № 3 С. 62-87
The stochastic model of inventory control of a certain product, whose volume may take the values within an interval bounded above the belongs to the set of real numbers, is considered and investigated. This model consists of two components. One of them is named a basic process and describes the inventory level in the system ...
Added: January 29, 2014
Afanasiev V., Presnova A., Automation and Remote Control 2021 Vol. 82 No. 2 P. 245-263
We state an optimal control problem for a class of dynamical systems whose nonlinear objects can be represented as objects with linear structure and state-dependent parameters. The linearity of the structure of the transformed nonlinear system and the quadratic performance functional allow one to move from the need to search for solutions of the Hamilton–Jacobi ...
Added: January 27, 2021
Springer International Publishing, 2019
This book constitutes the refereed proceedings of the 9th International Conference on Optimization and Applications, OPTIMA 2018, held in Petrovac, Montenegro, in October 2018.The 35 revised full papers and the one short paper presented were carefully reviewed and selected from 103 submissions. The papers are organized in topical sections on mathematical programming; combinatorial and discrete optimization; optimal control; optimization in ...
Added: January 14, 2019
Kryuchkov M., Rusakov S. V., Вестник Ижевского государственного технического университета 2015 № 2(66) С. 110-112
This paper describes the results of testing the neuronal technical trend indicator according to the exchange rate of Brent oil in 2014. Testing of the model was carried out on three time series, which characterized by their features. ...
Added: August 31, 2015
Popkov Y., Popkov A., Dubnov Y. A., Автоматика и телемеханика 2020 № 7 С. 148-172
A randomized forecasting method based on the generation of ensembles of entropy-optimal forecasting trajectories is developed. The latter are generated by randomized dynamic regression models containing random parameters, measurement noises, and a random input. The probability density functions of random parameters and measurement noises are estimated using real data within the randomized machine learning procedure. ...
Added: October 31, 2020
Gafarov E., Lazarev A. A., Werner F., Annals of Operations Research 2012 Vol. 196 No. 1 P. 247-261
We consider the problem of maximizing total tardiness on a single machine, where the first job starts at time zero and idle times between the processing of jobs are not allowed.We present a modification of an exact pseudo-polynomial algorithm based on a graphical approach, which has a polynomial running time. This result settles the complexity ...
Added: November 24, 2012
Malyshev D., Дискретный анализ и исследование операций 2012 Т. 19 № 4 С. 66-72
Рассматривается конструктивный подход к формированию новых случаев эффективной разрешимости задачи о независимом множестве в семействе наследственных частей множества графов Free({P5,C5}). Именно, доказывается, что если эта задача полиномиально разрешима в классе Free({P5,C5,G}), то для любого графа H, который может быть индуктивно получен из G применением к текущему графу сложения с K1 или умножения на K1, эта ...
Added: August 31, 2012
Babash A. V., М. : ИНФРА-М, РИОР, 2013
Пособие предназначено для студентов высших учебных заведений, обучающихся по специальности «Прикладная информатика (в экономике)». Оно также содержит методический материал для ряда инновационных курсов лекций по профилю «Информационная безопасность» и может быть использовано и для блока дисциплин этого профиля. Ряд представленных результатов полезен специалистам и аспирантам, специализирующихся в указанной области. ...
Added: January 14, 2014
Yasnitsky L., Пермь : Пермский государственный национальный исследовательский университет. – Электронные данные. , 2020
The collection contains materials from the international conference "Intelligent systems in science and technology" and the Sixth all-Russian scientific and practical conference "Artificial intelligence in solving urgent social and economic problems of the XXI century", which was held on October 12-18, 2020 in Perm as part of the Perm natural science forum "Mathematics and global ...
Added: December 4, 2020
Fuad Aleskerov, Demin S., Shvydun S., SN Computer Science 2020 Vol. 1 No. 2 Article 68
The paper examines the choice problem when the total number of observations and criteria is too large. There are many different procedures, which are used for decision-making process under multiple criteria; however, most of them cannot be applied to large datasets due to their computational complexity while others provide sufficient accuracy. To solve the problem, ...
Added: February 20, 2020
М. : Физматлит, 2013
Conference is devoted to application of the integrated models and soft computing in artificial intelligence. ...
Added: May 26, 2013
Gafarov E., Lazarev A. A., Werner F., Mathematical Social Sciences 2011 No. 62 P. 7-13
We consider single machine scheduling problems with a non-renewable resource. These types of problems have not been intensively investigated in the literature so far. For several problems of these types with standard objective functions (namely the minimization of makespan, total tardiness, number of tardy jobs, total completion time and maximum lateness), we present some complexity ...
Added: November 24, 2012
Vyalyi M., Дискретная математика 1991 Т. 3 № 3 С. 35-45
Added: October 17, 2014