РЕГУЛЯТОР С ДИСКРЕТНО ИЗМЕНЯЕМЫМИ ПАРАМЕТРАМИ
Проблемы управления. 2014. № 5. С. 14-19.
For a class of nonlinear uncertain dynamic objects submitted in the form of models with linear structure and state dependent coefficients the problem is formulated in the key control differential game with quadratic quality functional. The synthesis of equations which leads to need of Riccati equation solution with parameters depending on states at rate of object functioning was carried out. We propose a method for finding the realizable values of the controller parameters based on the solution of this equation in some points of the trajectory of the system and determining the parameters of the controller to control the corresponding intervals. The results are illustrated in mathematical modeling of a hypothetical object.
Research target: Computer Science
, Автоматика и телемеханика 2014
An optimal control problem was formulated for a class of nonlinear systems which can be presented by a system with a linear structure and state-depended coefficients (SDC). The system be under the influence of uncontrollable disturbance is supposed. In this paper, the problem of control uncertain nonlinear object to the desired trajectory is considered using ...
Added: October 29, 2014
, Качество. Инновации. Образование 2016 № 6 С. 53-67
This thesis aims on task of quadrotor autopilot development. Model of helicopter was formulated using quaternion algebra and checked on correctness. The control problem is formulated in the key control differential game with quadratic cost function. The synthesis of controls which leads to need of Riccati equation solution with parameters depending on states at rate of object functioning is ...
Added: October 11, 2016
, Качество. Инновации. Образование 2016 № 2 С. 31-40
In this paper, using the theory of differential games developed the algorithm of constructing guaranteed control for nonlinear systems. Through the transition from the nonlinear model to model the linear form with parameters that depend on the state, will move from finding solutions to equations of Hamilton-Jacobi-Bellman equation to the Riccati equation. Moreover, the appointment ...
Added: May 3, 2016
, В кн. : Проблемы устойчивости и управления: сборник научных статей, посвященный 80-летию академика Владимира Мефодьевича Матросова. : М. : Физматлит, 2013. С. 104-117.
Mathematical models of nonlinear systems of a certain class allow them represented as linear systems with nonlinear state feedback. In other words, let make the appropriate coordinate transformation of the original dynamic model. Such a transformation, using Lyapunov functions, a number of studies used to determine the parameters of regulators to ensure the asymptotic stability ...
Added: March 7, 2014
, 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
Проблемы устойчивости и управления: сборник научных статей, посвященный 80-летию академика Владимира Мефодьевича Матросова
М. : Физматлит, 2013
This volume is dedicated to the 80th anniversary of academician V. M. Matrosov. The book contains reviews and original articles, which address the issues of development of the method of vector Lyapunov functions, questions of stability and stabilization control in mechanical systems, stability in differential games, the study of systems with multirate time and other. ...
Added: March 7, 2014
, Montenegrin Journal of Economics 2013 Vol. 9 No. 3 P. 7-27
A new approach is proposed revealing duality relations between a physical side of economy (resources and technologies) and its institutional side (institutional relationsd between social groups). Production function is modeled not as a primal object but rather as a secondary one defined in a dual way by the institutional side. Differential games of bargaining are ...
Added: November 1, 2013
Аналитическая механика, устойчивость и управление. Труды X Международной Четаевской конференции, Казань, 12-16 июня 2012 г.
Каз. : Издательство Казанского государственного технического университета, 2012
Представлены доклады, посвященные актуальным проблемам теории и практики управления сложными динамическими системами, в том числе по методам оптимального управления, теории игр, интеллектному управлению в условиях неопределенности. Использование опубликованных материалов будет способствовать расширению связей и повышению эффективности отечественных и зарубежных научно-образовательных центров в области управления. ...
Added: January 23, 2013
СПб. : ОАО "Концерн "ЦНИИ Электроприбор", 2012
В настоящем сборнике представлены доклады, отобранные программным комитетом Конференции «Управление в технических, эргатических, организационных и сетевых системах» (УТЭОСС-2012), входящей в состав 5-й Российской мультиконференции по проблемам управления (МКПУ-2012) (наряду с XXVIII конференцией памяти выдающегося конструктора гироскопических приборов Н.Н. Острякова и конференцией «Информационные технологии в управлении»). Конференция УТЭОСС-2012 посвящается памяти академика РАН В.М.Матросова. В докладах сборника рассматриваются проблемы ...
Added: January 23, 2013
, , in : Preprints of the IFAC Conference on Manufacturing Modelling, Management, and Control MIM ‘2013 June 19 to 21, 2013, Saint Petersburg, Russia. : St. Petersburg : -, 2013. P. 1505-1509.
An optimal control problem is formulated for a class of nonlinear systems which can be presented by system with linear structure and state-depended coefficients (SDC). The system being under the influence of uncontrollable disturbance is supposed. The linearity of the transformed system structure and the quadratic functional make it possible to pass over from the ...
Added: September 23, 2013
, , Проблемы управления 2021 № 1 С. 24-35
A differential game of several players is considered as follows. One player (attacker) penetrates some space, and several other players (pursuers) appear simultaneously to intercept the attacker. Upon detecting the pursuers, the attacker tries to evade them. The dynamics of each player are described by a time-invariant linear system of a general type with scalar ...
Added: April 6, 2021
, , 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
, Математическая теория игр и ее приложения 2021 № 1 С. 102-129
In this paper, stochastic parameters are introduced into the network games model with production and knowledges externalities. This model was formulated by V. Matveenko and A. Korolev and generalized two-period Romer model. Agents' productivities have deterministic and Wiener components. The research represents the dynamics of a single agent and the dynamics in a triangle which ...
Added: May 15, 2021
, , , IFAC-PapersOnLine 2019 Vol. 52 No. 16 P. 706-711
The problem of aircraft take-off under windshear conditions is considered as a differential game. A simplified five-dimensional nonlinear model of aircraft dynamics, assuming the flight in a vertical plane, is used. The overloads, differences between the projections of the thrust and drag, respectively lift, forces are considered as control variables. The corresponding technically relevant control, ...
Added: November 18, 2021
, IFAC-PapersOnLine 2016 Vol. 49 No. 12 P. 360-365
The problem of optimal control for a class of non-linear objects with uncontrolled bounded disturbances is formulated in the sense of a differential game. In case of problems with quadratic quality functional, the problem of optimal control search is reduced to finding of solution of Hamilton-Jacobi-Isaacs equation. Solutions of this equation at the rate of ...
Added: December 23, 2016
, , in : Contributions to game theory and management. Issue 6.: St. Petersburg : Graduate School of Management, St. Petersburg University, 2013. P. 289-300.
In the present paper the game theory is applied to an important open question in economics: providing microfoundations for often-used types of production function. Simple differential games of bargaining are proposed to model a behavior of workers and capital-owners in processes of formation of a set of admissible factor prices or participants’ weights (moral-ethical assessments). ...
Added: November 6, 2013
Гарантирующее управление в задаче применения антивирусных препаратов и результаты математического моделирования
, , Проблемы управления 2012 № 3 С. 41-48
The human immunodeficiency virus infection, that causes Acquired Immune Deficiency Syndrome (AIDS), is a dynamic process that can be modeled via differential equations. The paper introduces a methodological problem of use of modern mathematical and information methods to boost the response of the immune system by means of drug scheduling. The control purpose is to steer ...
Added: March 21, 2013
Added: January 29, 2013
, , , Discrete Applied Mathematics 2020 Vol. 273 P. 30-42
We propose an algorithm for learning the Horn envelope of an arbitrary domain using an expert, or an oracle, capable of answering certain types of queries about this domain. Attribute exploration from formal concept analysis is a procedure that solves this problem, but the number of queries it may ask is exponential in the size ...
Added: October 29, 2019
, , et al., Journal of Mathematical Sciences 2009 Vol. 163 No. 5 P. 469-486
Sequential and parallel implementations of the F4 algorithm for computing Gr¨obner bases of polynomial ideals are discussed. ...
Added: October 1, 2014
, , 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
, , Технологии техносферной безопасности 2016 № 66
Advanced approach to the assessment of a random time of arrival fire fighting calculation on the object of protection, the time of their employment and the free combustion. There is some quantitative assessments with the review of analytical methods and simulation ...
Added: August 27, 2016
, М. : Юрайт, 2016
В настоящее время компьютерные науки стремительно развиваются. Новые версии операционных систем появляются каждые полтора-два года, поэтому было принято решение о включении в данную книгу такого материала, который не будет устаревать. Содержание учебника представляет собой некоторые наиболее общие принципы построения операционных систем, которые были разработаны более 50 лет назад и практически не изменились за прошедшее время. ...
Added: October 13, 2009
, , 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