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Viscosity Solution for Design of Control Nonlinear Uncertain Systems
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 the object by means of special algorithmic procedures obtained by using the theory of viscous solutions. The results can be used to solve theoretical and practical problems that occur in mathematics, mechanics, physics, biology, chemistry, engineering sciences, control and navigation.
Afanasiev V., 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, ...
Added: March 17, 2015
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
Trautmann P., Vexler B., Zlotnik A., / Cornell University. Series "Working papers by Cornell University". 2017. No. 1702.00362.
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 in time bilinear ...
Added: February 2, 2017
Afanasiev V., М. : Либроком/URSS, 2015
Сложность большого количества современных систем управления зачастую не позволяет получить заранее полное описание процессов, протекающих внутри системы, и ее взаимодействия со средой. Как правило, реальные системы описываются нелинейными дифференциальными уравнениями и достаточно часто математические модели систем управления учитывают лишь допустимые области изменения параметров и характеристик отдельных элементов без конкретизации самих этих параметров и характеристик. Указанные ...
Added: October 29, 2014
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
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
[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
Afanasiev V., Окунькова Е. В., Мехатроника, автоматизация, управление 2013 № 5(146) С. 2-5
The task of designing the control actions for a heavy water reactor under uncertainty changes its parameters considered in the key differential game. The possibility of representing nonlinear dynamics of the object in the form of a system with parameters depending on the state (State Dependent Coefficients) and quadratic functional qualities allow you to go ...
Added: September 21, 2013
Afanasiev V., Automation and Remote Control 2015 Vol. 76 No. 1 P. 1-15
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 ...
Added: March 26, 2015
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
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
Arzymatov K., Сапронов А. А., Belavin V. et al., PeerJ Computer Science 2020 P. 1-16
We introduce SANgo (Storage Area Network in the Go language)—a Go-based package for simulating the behavior of modern storage infrastructure. The software is based on the discrete-event modeling paradigm and captures the structure and dynamics of high-level storage system building blocks. The flexible structure of the package allows us to create a model of a ...
Added: October 9, 2019
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
Presnova A., Качество. Инновации. Образование 2016 № 5 С. 33-41
Built parametric suboptimal control of supply of drugs using the method of algorithmic design in the problem of stabilization of the cells of the immune system in patients with the HIV. A mathematical model describing the dynamics of HIV in the human body represents a nonlinear system of differential equations. In this paper uses the ...
Added: May 25, 2016
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
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
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
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
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
St. Petersburg : -, 2013
Nowadays, production control problems has been widely studied and a lot of valuable approaches have been implemented. Some work addresses the problem of tracking the uncertain demand in case of uncertain production speeds. The uncertainties are described by deterministic inequalities and the performance is analyzed in from of the worst-case scenario. First, simple mathematical models ...
Added: September 23, 2013
Belomestny Denis, Iosipoi L., Paris Q. et al., Bernoulli: a journal of mathematical statistics and probability 2022 Vol. 28 No. 2 P. 1382-1407
We study the problem of empirical minimization for variance-type functionals over functional classes. Sharp non-asymptotic bounds for the excess variance are derived under mild conditions. In particular, it is shown that under some restrictions imposed on the functional class fast convergence rates can be achieved including the optimal non-parametric rates for expressive classes in the ...
Added: April 17, 2022
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
Ружицкая Д. Д., САМОЙЛЕНКО А. А., Иванов А. Д. et al., Optoelectronics, Instrumentation and Data Processing 2017 Vol. 54 No. 1 P. 1-8
This paper presents an algorithm for processing the transmission spectra of whisperinggallery optical microcavities for use as a nanoparticle detector. The algorithm is based on the broadening of the microcavity resonance curve during precipitation of nanoparticles on the microcavity surface. Experimental results on the detection of particles are compared with Langmuir adsorption theory. The contribution ...
Added: May 25, 2018
Beklemishev L. D., Оноприенко А. А., Математический сборник 2015 Т. 206 № 9 С. 3-20
We formulate some term rewriting systems in which the number of computation steps is finite for each output, but this number cannot be bounded by a provably total computable function in Peano arithmetic PA. Thus, the termination of such systems is unprovable in PA. These systems are derived from an independent combinatorial result known as the Worm ...
Added: March 13, 2016