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CONTROL SCIENCES
Научнотехнический
журнал
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ISSN 18193161
УЧРЕДИТЕЛЬ
Институт проблем управления
им. В.А. Трапезникова РАН
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Д.А. Новиков
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Л.П. Боровских, Ф.Ф. Пащенко
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Институт проблем управления
им. В.А. Трапезникова РАН
ПРОБЛЕМЫ
УПРАВЛЕНИЯ
5.2009
CОДЕРЖАНИЕ
Анализ и синтез систем управления
Бунич А.Л. Вырожäенные заäа÷и синтеза систеì управëения ëинейныìи
äискретныìи объектаìи . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Щербаков П.С. Построение реãуëяторов заäанной структуры при собëþäении
инженерных требований . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Управление в социально-экономических системах
Бухарин С.Н. О при÷инах экоëоãи÷еских инфорìаöионных войн в реãионе . . . . 18
Попов Е.В., Шматов Г.А. Теория вы÷исëения охвата СМИ . . . . . . . . . . . . . . . . 22
Губанов Д.А., Новиков Д.А., Чхартишвили А.Г. Моäеëи инфорìаöионноãо
вëияния и инфорìаöионноãо управëения в соöиаëüных сетях. . . . . . . . . . . . . . . 28
Федосеев С.А., Вожаков А.В., Гитман М.Б. Управëение произвоäствоì
на такти÷ескоì уровне пëанирования в усëовиях не÷еткой исхоäной
инфорìаöии . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
Управление в медико-биологических системах
Болодурина И.П., Луговскова Ю.П. Оптиìаëüное управëение иììуноëоãи÷ескиìи
реакöияìи орãанизìа ÷еëовека . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
Управление техническими системами и технологическими процессами
Кубышкин В.А., Финягина В.И. Оптиìизаöия теìпературных режиìов
эëектроäов пëазìотронов ìетоäаìи поäвижноãо управëения. . . . . . . . . . . . . . . . 53
Управление подвижными объектами
Абрамянц Т.Г., Беланов Ю.А., Маслов Е.П. Яхно В.П. Поиск поäвижноãо
объекта по инфорìаöионноìу признаку «сëеä». Ч. 1. Общая структура
оптиìаëüной поисковой траектории . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Твердохлебов В.А. Оöенка сëожности управëения äвижениеì по известноìу
ìарøруту . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
Философские вопросы управления
Алексеева А.И. О ìетоäоëоãи÷ескоì обосновании науки и практики эконоìи÷ескоãо
анаëиза хозяйственной äеятеëüности . . . . . . . . . . . . . . . . . . . . . . . . . 74
Хроника
Идентификация систеì на пути созäания ìетоäоëоãи÷еских и ëоãико-ìатеìати÷еских
основ наукоеìких техноëоãий структурной иäентификаöии . . . . . . . . . 81
Станислав Даниëови÷ Зеìëяков . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
* * *
Contents and abstracts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
Стр.1
CONTENTS & ABSTRACTS
CONTENTS & ABSTRACTS
SINGULAR ISSUES OF CONTROL SYSTEMS DESIGN FOR
LINEAR DISCRETE PLANTS . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Bunich A.L.
The issue of many-inputs-many-outputs systems design for the linear
discrete plants with the stationary singular noise is considered. This issue
is shown to be degenerative. The method of controller design is presented.
Keywords: singular control issue, linear discrete plants, zero price of
control.
COMPOSITION OF REGULATORS OF GIVEN STRUCTURE
SUBJECT TO MEETING THE ENGINEERING TERMS . . . . . . 9
Scherbakov P.S.
This paper analyzes and extends the simple and efficient low-order controller
design method proposed by O.N. Kiselev and B.T. Polyak in 1999
as applied to the stabilization of normal operating conditions of electric
power systems. Within this approach, the complete set of feasible regulators
of given structure is composed (or generated in a random way) and a desired
controller is then chosen according to one or another performance index
formulated in engineering terms. A robust version of the method is also analyzed
and a generalization to higher-order controllers is discussed.
Keywords: fixed-order controllers, D-decomposition, robustness,
randomization.
ON THE REASONS OF REGIONAL
ECOLOGICAL INFOWARS . . . . . . . . . . . . . . . . . . . . . . . . . . . .18
Bukharin S.N.
As a rule at present the problems of ecological safety become the
cause for infowars. The purpose of these wars is to capture the power and
resources. A vivid example of similar wars is the struggle for control over
the financial streams directed to regions for realization of large-scale investment
projects. The paper gives a solution of academician N.N. Moiseyev
problem (which is connected with the present problem) for modern
conditions when except the interests of the federal centre the region interests
are also considered.
Keywords: environmental contamination, output volume, penalty,
region development, local administration, federal centre, compromise.
THEORY OF MEDIA REACH CALCULATION . . . . . . . . . . . . .22
Popov E.V., Shmatov G.A.
The theory of calculation of a target audience reach depending on the
number of appearances in the media has been developed. The theory enables
to determine the value of total and effective audience reach and to
find out the reach distribution with respect to the contact number. The
theory under discussion is the part of an analytical instrument which permits
to make decisions concerning the advertising budget management
and optimization of the advertising placement in media.
Keywords: advertising media planning, optimization, reach, advertising
placement.
INFORMATIONAL INFLUENCE AND INFORMATION
CONTROL MODELS IN SOCIAL NETWORKS . . . . . . . . . . . . .28
Gubanov D.A., Novikov D.A., Chkhartishvili A.G.
Formation and dynamics of agents’ opinions in the social network are
modeled by Markov chain. Problems of agents’ opinions control, as well
as the game-theoretical models of informational confrontation, are formulated
and solved for particular cases.
Keywords: social network, informational influence, information control,
informational confrontation.
PRODUCTION MANAGEMENT ON THE TACTICAL LEVEL
OF PLANNING UNDER THE FUZZY INITIAL
INFORMATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .36
Fedoseev S.A., Vozhakov A.V., Gitman M.B.
The paper considers a production scheduling model with fuzzy measures
and constraints. The model is based on the fuzzy sets theory. As an
example the actual production schedule of Zavod SDM, Ltd. (Perm city)
is considered.
Keywords: production management, software, material requirements
planning, fuzzy information.
OPTIMUM CONTROL OF HUMAN IMMUNE REACTIONS . .44
Bolodurina I.P., Lugovskova Ul.P.
The paper presents the controllable model that allows to investigate
human immunity mechanisms. The optimization problem described by a
88
system of nonlinear differential equations with a retarded argument and
discontinuous right side is set, and its solution algorithm is proposed. The
algorithm allows to identify the characteristics of the flow and outcome
of various forms of disease, to better understand the factors that determine
the nature of the immune system response to various antigens, to find the
optimal treatment program.
Keywords: immunity, immune system, mathematical model.
USE OF MOBILE CONTROL METHODS FOR OPTIMIZATION
OF TEMPERATURE REGIMES FOR PLAZMOTRON
ELECTRODES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
Kubyshkin V.A., Finyagina V.I.
The practical problem of finding the optimal motion laws for heating
spots for the class of systems with distributed parameters with mobile control
action is solved. The discovered motion law ensures minimum of maximal
average electrode temperature and hence the erosion value of electrode is
decreased. Some mathematical models of temperature fields in plazmotrones
are considered. For solution of optimization problem the methods of
substitution and realization for systems with mobile control are used.
Keywords: mobile control, electro-arch plazmotrones, electrodes
erosion, mathematical models of temperature fields, optimal law of heating
spot scanning.
SEARCH OF MOVING TARGET BY ITS INFORMATIVE
CHARACTER «TRACE». PART 1. THE GENERAL STRUCTURE
OF OPTIMAL SEARCH TRAJECTORY. . . . . . . . . . . . . . . . . . . 61
Abramyantz T.G., Belanov Yu.A., Maslov E.P., Yahno V.P
Solution of a planar problem of pursuer trajectory optimization is
presented. The trajectory contains two parts — one is the search of a moving
object (target) by informative character «trace» and the other — overtaking
the target after trace detection. Minimax solution is found for the
case when the target chooses its motion direction from some angle range
and moves along a straight line with a constant speed.
Keywords: «trace» of object, search trajectory optimization, minimax
solution.
ESTIMATION OF COMPLEXITY OF MOVEMENT CONTROL
ALONG THE KNOWN ROUTE . . . . . . . . . . . . . . . . . . . . . . . . 69
Tverdohlebov V.A.
The paper offers the estimation procedure of complexity of movement
control along the given route with consideration of numerical indexes
of control rules complexity on separate route sections; amount of
control rule changes; and the length of route sections with the unchangeable
control rules. Control rules are formalized in the form of recurrent
formulas that define a route code. Numerical indexes of properties, performance
and parameters of a route are systematized by means of the designed
spectrum of parameters.
Keywords: complexity of movement control, route, object of movement,
controls, code of route, geometrical properties of a route, recurrent
form, control rule.
ON THE METHODOLOGICAL SUBSTANTIATION
OF THEORY AND PRACTICE OF BUSINESS ANALYSIS . . . . 74
Alekseeva A.I.
On the basis of activity structure model we increase the precision of
definitions of concepts and categories of business analysis: object domain;
object of the science, both fundamental and applied; subjects; means and
objects of fundamental and applied research; objectives and results of economic
activity, as well as the maintenance of direct and feedback relations
between science, practice and the object of research — organization.
Keywords: methodology, business analysis, definition of object and
subject, classification of structure of scientific and practical activity, connections
with the organization.
SYSTEM IDENTIFICATION IS ON THE WAY TOWARDS
CREATION OF METHODOLOGICAL AND
LOGICAL-MATHEMATICAL GROUNDS FOR SCIENCE
INTENSIVE TECHNOLOGIES OF STRUCTURE
IDENTIFICATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
STANISLAV DANILOVACH ZEMLYAKOV . . . . . . . . . . . . . . 87
CONTROL SCIENCES ¹ 5 • 2009
Стр.88