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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Strategic terminal integration of game system and information resource consepts as a basis of analysis of energy active interaction of technogenic and ecological systems</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Cherkasy state technological university</institution>
          ,
          <addr-line>Cherkasy 18006</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Lviv 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Lviv State University of Life Safety</institution>
          ,
          <addr-line>Lviv 790007</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1980</year>
      </pub-date>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Modern accelerated development man-made production structures let to the development of concentration of harmful emission and their volume in eco-environments (ground, water, atmosphere), also contamination of villages, cities and towns has increased. Complication of technological processes, growth of production capacities of thermal power plants, transportation, oil and gas industry, which includes energy - efficient objects, complicated the process and management, which led to a decrease in certain areas of their level of safety and increased the risk of accidents and catastrophies.</p>
      </abstract>
      <kwd-group>
        <kwd>system</kwd>
        <kwd>game</kwd>
        <kwd>information</kwd>
        <kwd>strategy</kwd>
        <kwd>control</kwd>
        <kwd>data analysis</kwd>
        <kwd>problem</kwd>
        <kwd>risk</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Scattering of socially communicable and technogenic large structures carries a cyclic
terminal character and is characterized by time power from month to years. According
to the given tasks and the cycle of development and influence of factors on these
structures we must coordinate their functional activity taking into account their
hierarchical organization. Form their financial resource, information factors on these
structures of direction leads to a mismatch of deliberate purposeful management to
the emergence of conflicts in and between the system and between them and the risks
of the emergence of conflicts in the hierarchy and the risks of emergencies. The level
of risks of accidents and man-made catastrophes depends on many systems and
factors of system reliability.</p>
      <p>Reliability and quality of projects of technogenic systems, model and algorithms of
functioning.</p>
      <p>Quality of structures, units, components, method of their installation.</p>
      <p>Conformity of the constructed structures to the exact requirements, methods of
their laying and testing for introduction into the exploitation.</p>
      <p>Quality of strategies, algorithms for data processing and management decisions.</p>
      <p>Quality of training (engineering, knowledge, practical, etc.) of production and
practical personnel, as well as their positive and negative features.</p>
      <p>Preparation of resources for the production process and their quality.</p>
      <p>The ability to withstand resource and information attacks on a technogenic system.</p>
      <p>Ability to withstand information and mental-psychological attacks on operational
and management personnel when making management decisions.</p>
      <p>All these aspects of risk assessment have both strategic and game character and
determine the dynamics of processes in technogenic systems, as well as the level and
nature of the impact on the environment.</p>
      <p>Substantiate the method of minimizing the risks of the impact of technogenic systems
on the eco-environment based on game, system and information technologies.</p>
      <p>Research tasks: to solve the given problem we need to find the solution of the
given tasks and methods:
 To analyze the problem of minimizing the risks of the impact of techogenic
systems on the environment
 To carry out the analysis of literary sources in which this problem is considered.
 Justify the methods for solving problems
 To analyze the causes and factors of emergence of conflict situations, both
technical and informative.
 To develop game models of management strategies.
 To develop the method of conflict resolution in technogenic systems.
 To develop the method of structuring of the system and its integration.
 To justify the system game and the way it is presented.
 To build a general scheme of interaction of technogenic systems that generate
harmful emissions with the ecological and social environment of coordination
strategies for eco-protection and technology of deep waste treatment.
 To justify new man-made characteristics and their nature and impact on the
environment.
2</p>
    </sec>
    <sec id="sec-2">
      <title>State of arts</title>
      <p>According to the given tasks we are going to made an analysis of the literary
sources for last period, which depict the state of the problem of environmental
technogenic safety.</p>
      <p>
        In this paper (
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1-3</xref>
        ) are considered the problems of making automated process
control system of new generation on the base of microprocessor structures and
information technology and system analysis, in the directory is systematized information
about the aggressive complexes of automated control systems, structural organization,
methodology of system design without disclosing the psychology of management.
      </p>
      <p>
        In this paper (
        <xref ref-type="bibr" rid="ref4">4</xref>
        ) is considered the theory of making decisions and the procedures of
constructing equilibrium strategies in the case of mismatch of strategic interests of
corporate players, methods of overcoming conflict situations on the basis of system
analysis are considered.
      </p>
      <p>
        In this paper (
        <xref ref-type="bibr" rid="ref10 ref5 ref6 ref7 ref8 ref9">5-10</xref>
        ) are considered the reasons of origins and ways of overcoming
corporate conflict protection methods and activities in the face of threats based on the
classical approach to situation analysis.
      </p>
      <p>
        In this paper (
        <xref ref-type="bibr" rid="ref11">11</xref>
        ) situational management paradigm for the first time is developed
as a method of managing complex systems of technical and organizational class using
artificial intelligence theory of theory of knowledge of logic of decision making.
      </p>
      <p>
        This monograph (
        <xref ref-type="bibr" rid="ref12">12</xref>
        ) describes the methods of discrete mathematics that are used
to model complex systems of different nature. Was made the analysis of
decisionmaking problems of group choice logic of strategic behavior of system methods and
methods of situation description.
      </p>
      <p>
        In this paper (
        <xref ref-type="bibr" rid="ref13">13</xref>
        ) is considered the problem selection of data as a basis for the
sufficiency of information about the state of the object that is required for management
decisions.
      </p>
      <p>
        In this paper (
        <xref ref-type="bibr" rid="ref14 ref15 ref16 ref17 ref18 ref19">14-19</xref>
        ) is considered and outlines the basics and methods of assessing
the quality of information for decision making in production systems. Also were made
the methods of estimation of reliability of data on a condition of objects and methods
of the description of dynamic models. The method of synthesis of data processing
structures is substantiated.
      </p>
      <p>
        In this paper (
        <xref ref-type="bibr" rid="ref20">20</xref>
        ) was made an analysis of ways of thinking when making
decisions in different situations, formulating the concept of systematic thinking of the
person.
      </p>
      <p>
        Mathematical aspects of constructing model of purposeful behavior of a person at
decision-making and psychology of actions are considered in the collection of works
(
        <xref ref-type="bibr" rid="ref21">21</xref>
        ).
      </p>
      <p>
        Monograph (
        <xref ref-type="bibr" rid="ref22">22</xref>
        ) is devoted to the study of the basic problems of logic of action,
dynamic and static aspects of definition of action, semantics, game-theoretic models
of processes of decisions on which the principles of management are formed.
      </p>
      <p>
        The monograph (
        <xref ref-type="bibr" rid="ref24">24</xref>
        ) describes methods of analysis of reliability and safety of
technical systems, analytical analysis and methods of probable modeling and methods
of estimation of risks of emergencies.
      </p>
      <p>
        The monograph (
        <xref ref-type="bibr" rid="ref25">25</xref>
        ) deals with theoretical systemic and logical-mathematical
foundations of socially-territorial complex-formed and information-consistent
structures, problems of interaction of society with nature and models of integration of
sciences, theory of formation of structures is developed.
      </p>
      <p>
        Monographs (
        <xref ref-type="bibr" rid="ref26 ref27">26-27</xref>
        ) are devoted to the methods of risk analysis and safety of
industrial enterprises, the main causes of accidents, their consequences, risk analysis.
      </p>
      <p>
        In monographs (
        <xref ref-type="bibr" rid="ref28 ref29 ref30 ref31">28-37</xref>
        ) are formed the main provisions of information-resource
concept of analysis and synthesis of management systems of complex objects.
Techniques for forming control strategies in the target space of the system under
conditions of disturbance action based on game and resource-information concepts have
been developed.
      </p>
      <p>In works (38-39) the concept of creation of regional center for decision-making on
ensuring the protection of the population and objects of life support from NPPs,
hydraulic structures, earthquakes is substantiated.</p>
      <p>In article (40) processes of destabilization of ecological systems under the
influence of technogenic structures – pollutants are considered, strategies of sustainable
development and process of destruction of mechanical systems and their information
interpretation are considered.</p>
      <p>In the fundamental work (41-42) the energy theory of stochastic signals is
considered as a basis for the analysis of factors and methods of construction of laser systems
based on it.</p>
      <p>In works (43-46) methods of analysis of dynamics of behavior of complex systems,
state control, detection of factors of active destruction of structure of technogenic
objects, state control are considered.
3</p>
      <p>Causal factors of man-made accidents</p>
      <p>Causal factors of man-made accidents are mistakes which were made during
designing, limited knowledge of the structure of technological systems and power
systems, gaps in understanding information about the dynamics of the destructive
processes that may occur during the operation of energy-active objects. Game concept of
interaction (active factors – technogenic systems) is the basis for revealing the system,
information and energy structure of processes of destruction of technogenic objects
due to the imposition of unpredictable factors, which due to the limited knowledge of
operators can not be taken into account and, accordingly, to predict.</p>
      <p>On the basis of game and system models, as the basic principles of the analysis of
the interaction of technogenic, ecological and social systems, it is necessary to build
general schemes of hierarchical organization of regional society. The solution of this
problem will allow to analyze the available resources for production and vital activity
of the person and society, to assess the risks and the likelihood of conflicts in the
allocation of resources. This approach which is addressing to the safety of life provides
the basis for a thorough analysis of the interconnections of the production complex
with resources and the eco-environment, as well as the opportunity to provide deep
processing of hazardous waste.</p>
      <p>Problematic tasks of management of technogenic systems with the energy-active
objects are relevant as in energy, petrochemical industry, aviation, transport and
social structures, because the level of pollution of the ecosystem of the regions in which
they operate depends on the qualities of strategies for managing resources and objects.
To solve the problem of improving the efficiency of production structures, to reduce
the level of pollution, it is necessary to form an appropriate level of training of
personnel, who would have knowledge of different levels – from technological to
presystem information technologies. The solution of this problem will allow to introduce
long-term impact of harmless technical emissions in the eco-environment of the
region where there are potentially dangerous objects. For system with a hierarchical
structure of organization of management characteristic of cognitive system of
operational personnel decision – making is the existing gaps in knowledge about the
structure of objects, the processes of automatic and operational management, the system of
selection and processing of data necessary for making both local and system decisions
at the strategic level of the hierarchy, which minimize the risk of accidents due to a
clear understanding of emerging crisis situations.
4
4.1</p>
    </sec>
    <sec id="sec-3">
      <title>Analysis of risk minimization tasks</title>
      <p>Systematic game of targeted technological structures in boundary
models of resource allocation</p>
      <p>Systematic game of targeted structures GrCUS1 CUS2  is based on
strategies of resource allocation and coordination of management actions and accordingly
occurs at the managerial level according to the objectives of functioning (pic. 1) when
fulfilling the conditions of the balance of material and energy resources.</p>
      <p>
        Let’s consider the basic schemes of interaction of participants of paired
information of the game in the structure of technological system. The following structures
of the game participants are set accordingly (
        <xref ref-type="bibr" rid="ref28 ref29 ref30 ref31">28-33</xref>
        ):
– IVF  CUS – perturbation factors of system parameters CUS source of
inter
      </p>
      <p>P
ference IVF, which has channels of influence on the technological process;
– CUS1  CUS2Str – perturbation factor structure of the system CUS2 , as an
adversary to the realization of the purpose of functioning (the break of the functional
bonds);</p>
      <p>– CUS1  CUS2Strat – perturbations of system strategies CUS2 , due to
misinformation (in estimating the parameters of state trajectory);</p>
      <p>– CUS1  IR  CUS2 , IR – the struggle for resources between structures
CUS1 and CUS2 (material, energetic, informational, financial);</p>
      <p>– ТБi  ТБ j | CusStrat U | CТП  – resource conflicts and races between
technology blocks.</p>
      <p>
        The state of the system is determined by the balance of resources in the research
structure, with effective game strategies in place that determine their distribution
based on load energy – efficient units (
        <xref ref-type="bibr" rid="ref28 ref29 ref30">28-30</xref>
        ).
      </p>
      <p> m m 
ФвRхі U , ,   jФвPuRхj t,   Ф U , , ,t  ,
 i1 j1 </p>
      <p>
StratUФR Ci  : Ф    Іopt  zC   , zC    FZ ,   t    0 ,  t    0
де zC V C | R  – the target status of the technological system.</p>
      <sec id="sec-3-1">
        <title>Game field system</title>
        <p>MG1T</p>
      </sec>
      <sec id="sec-3-2">
        <title>Technical game</title>
      </sec>
      <sec id="sec-3-3">
        <title>Technical game for resources</title>
      </sec>
      <sec id="sec-3-4">
        <title>IVFR</title>
        <p>CUS1
BZ</p>
      </sec>
      <sec id="sec-3-5">
        <title>OYts</title>
      </sec>
      <sec id="sec-3-6">
        <title>Strar Uo</title>
        <p>CUS1 Strat U1
BZ1
CUS2
BZ2</p>
      </sec>
      <sec id="sec-3-7">
        <title>Strat U2</title>
        <p>F1
М1
М2
F2
IR
MG2T
CUS1
BZ1
CUS2
BZ2</p>
      </sec>
      <sec id="sec-3-8">
        <title>V ( Struk)</title>
      </sec>
      <sec id="sec-3-9">
        <title>Strat U OYm CUS1 BZ1</title>
      </sec>
      <sec id="sec-3-10">
        <title>Uv (Strat) CUS2 BZ2</title>
      </sec>
      <sec id="sec-3-11">
        <title>Uv (Strat)</title>
        <p>F1
F2
IR</p>
        <p>NR
IR
F1
F2
)
ttra ,F21
S (F</p>
        <p>U
G1
F
G2
F
G2
F
M3GT</p>
      </sec>
      <sec id="sec-3-12">
        <title>Conflict over resources</title>
        <p>M4GT</p>
      </sec>
      <sec id="sec-3-13">
        <title>Reconciliation of resources</title>
        <p>
          el of conflict and distribution of material and energetic recourses, MGn – a strategy of
reconciliation of interests. The overall balance of material resources in the terminal
management decision – making strategy according to the load regime is described by
the behavior of a random process trajectory model, which is formed on the basis of
interaction in the technological structure of local components of resource flows and
reflects the dynamic state of the system through the trajectory of balance dynamics in
the form of information situation functioning. Structure of target space is determined
by the procedure (strategy) for solving the problem, models of state space and phase
of the control object and its energy characteristics interconnected through isomorphic
operators of object dynamics. Based on the study of the situational behavior of the
level of the trajectory of the state OU, when the conditions of the balance of resources
are fulfilled the procedures of classification of possible states of objects of
management and the strategies of movement to the goal are formed (
          <xref ref-type="bibr" rid="ref28 ref29 ref30 ref31">28-37, 46</xref>
          ).
        </p>
        <p>For impulse flows, the state trajectory model is determined on the basis of
dynamics modeling according to the equation of (nonlinear) balance of resources, relative to
the region of stable equilibrium, in the conditions of disturbances and constraints on
resources:</p>
        <p>tTn  m m 
GRAF Z t | Tn   Z0   AZФ t,  Фвх t,Ui  Фвuх t,  dt 
t  i1 j1 
according to game models on two competing systems.
4.2</p>
        <p>Dynamics of game flows and flows and balance strategies</p>
        <p>
          For each participant who will take part in the game, like an intellectual
system, that makes decisions which are directed to achieve the goal, a characteristic
feature is the way to formulate management strategies based on the possible behavior of
a competitor, based on the equations of dynamics that describe the behavior of players
in the target space, both each player and in common. The dynamics of player
interaction is determined by the joint solution of the system of equations over the interval of
time (Tn) according to the distribution of available resources and goals (
          <xref ref-type="bibr" rid="ref30 ref31">30-33</xref>
          )
(pic. 2):
 dZ1 t 
 dt  F1  x1,U1,t   F12 U 2 , 2 ,t , U!  Strat U C1 , t Tn
PRPSyt  Strat U C1  IS Strat t / C2  .

 dZd2tt   F2  x2 ,U2 ,t   F21 U1, 12 ,t , U2  Strat U C2 , t Tn
Management strategies are based on conceptual models of situation
classification, that is estimation of belonging of a trajectory of a state to the designated, by
certain criteria, class of target space and selection of the command of management
which removes the system in the corresponding target task class. Given the following
structure of the division of classes, as n-dimensional sets: Ki im1  Tn ˆ KLI –
invariant systematic classification of the partitioning of the space of goals in the continuous
interval of time of functioning of the game structure; Ki mj1  TK K 1 ˆ KLlI locally
m
invariant classification of partition of target space and states with respect of terminal
control cycles.
        </p>
        <p>
          The introduction of such a division of classes makes it possible to form the
principles of synthesis of local and global behavior strategies based on the behavior of
methods of their resource and situational management D. Pospelova (
          <xref ref-type="bibr" rid="ref11">11</xref>
          ).
        </p>
        <p>Player P1 P2 Player</p>
        <p>GSS3
OIS1
ZI1
RS U1
Strat
(U1*U2)
Р1
Ids1
Fі1</p>
        <p>ZI2
GSS3
OIS2
RS U2
Strat
(U1*U2)
Р2
Ids2
Fі2</p>
        <p>BZk</p>
        <p>GUS2</p>
        <p>FО
Str US2
BZR2</p>
        <p>CIS2</p>
        <p>Strat U/C2
OC2</p>
        <p>LIR
Fm2</p>
        <p>FiR2
IA'</p>
        <p>IAn
TP</p>
        <p>NR2</p>
        <p>Where OISi – observational information systems; Idsi – images of the dynamic
situation in the object of the game; FRi – factors of influence on resources; IAi –
informational atacks; GRSmi – global resource delivery systems; P1, P2 – players; ZI –
zones of interaction; FG1,2 – field of game; GSS3 – generation of sounding signals
for data collection; RSi – resource steams; BLRi – base of logical rules; Fip – factors
affecting resource and information flows; OC – object control; TP – technological
process.</p>
        <p>Methodology and systemology for analyzing the dynamics of the trajectory of the
technological system, based on equations of the balance of resources, is based on the
methods of parametric and non-parametric statistics; decision theory in uncertainty; of
estimations of statistics on the membership of images of dynamic situations in the
present time to alternative classes of reference models of state space partitioning.
Each class is matched by local decision-making strategies (which are elements of
global politics), which allows the management team to move the system to the target
area, that is to describe the procedure for solving the problem of resource allocation in
the target space of the system and avoiding conflicts.
4.3</p>
        <p>
          Adaptation and coordination of management strategies
In the case of a situation where the target problem is not solved, procedures (if
available) are formed to adapt the strategies to achieve the goal of disturbance and
interference, based on the additional study of the problem. This requires the creation of a new
model of the problem and the target situation in the technological structure, the
assessment of available resources, which leads to a change in the trajectory of
movement and terminal time (
          <xref ref-type="bibr" rid="ref13 ref14 ref15 ref16 ref17 ref18 ref19 ref20 ref21 ref22">13-22</xref>
          ).
        </p>
        <p>Synthesis of goal achievement strategies in a feedback management system, is
based on refining the goal model and how to implement it with limited resources, as
procedures of solving the goal.</p>
        <p>Synthesis of behavior of the system, with a given structure of the conditions of
perturbations and large-scale interference is based on the use of typical models of
strategies to achieve goals, which are reflected through the lanes of the direction of possible
trajectories in the target area. Estimation of threshold pollution, which lead to
technological failure due to distortion of information on the state of the system in the mode
of situation estimation and decision making, is the basis for the choice of cases of
algorithms for signal processing with robust properties. Synthesis of strategies for
correction of models and parameters of the system in the evolution of the control and
control system is based on methods and procedures, algorithms for solving the target
problem, which are verified by classes of reference solutions of problems.</p>
        <p>Efficient estimation of strong obstacles and correction of optimal algorithms for
signal processing and ensuring their robustness, as well as adequate filtering from
obstacles from the point of view of obtaining the correct information for forming the
image of the situation in the target space are the basis of decision making in the
condition of uncertainty of the dynamic situation with respect to the target. Correction of
data processing algorithms for dynamic pattern formation is based on procedures for
evaluating the behavior of quality functionals in perturbation zones.</p>
        <p>Correction of management object models and goal achievement strategies is
carried out(in crisis conditions) based on the availability of problem of problem solving
procedures, which requires a series of procedures [30-33].</p>
        <p>Verification of conditions of achievement of goals and estimation of means and
volumes of resources;</p>
        <p>Assessment of availability and mobility of resources for the implementation of
objectives in critical conditions;</p>
        <p>Adjustments to target entry strategies and availability of resources at the time of
conflict.</p>
        <p>
          Optimization of the crisis management of the system is carried out taking into
account knowledge of the structure, dynamics and purpose of the system and is based on
the formation of quality functional, components of which will be indicator functions
of saving resources, terminal time to achieve the goal, accuracy of maintaining the
functional state. Optimization of signal processing algorithms and control strategies
for each game participant in the technological structure is carried out based on the
structure of the target task to study the statistical characteristics of the signal
trajectory and interference, as well as on basis of checking the correspondence of signal
models to the processing algorithms, the conditions for ensuring their robustness and
information are fulfilled, subject to coordination of resource sharing strategies (
          <xref ref-type="bibr" rid="ref10 ref11 ref7 ref8 ref9">7-11</xref>
          )
(pic. 3).
        </p>
        <sec id="sec-3-13-1">
          <title>G0 IVFR</title>
          <p>GR IRm</p>
          <p>GSUТП
dSytP  ZТП 
Х</p>
          <p>FR
SV</p>
          <p>TS</p>
          <p>AТП
Strat U
 NR 
  
 ZR  
Strat NS
FM1,G1
FM n ,Gn</p>
        </sec>
        <sec id="sec-3-13-2">
          <title>IVFJ ,GK</title>
          <p>Where, TS – a technological system as a zone of interaction; G0 – player, who
depicts perturbation factors of the flow of resources; GK – perturbation of informational
channels; GR – model of source of resources, which provides a technological process;
{G1…Gn/Fn} – forming machines (operated by third party operator); {GSUТП/Strat
U, Strat NS} – process control system, as a coordinator of the guaranteed balance
allocation mode with the selected class of observation and management strategies
aligned with the target.</p>
          <p>The problem of solving conflict situations in technological structures, with
the interaction of active and passive participants in the game, requires for its solution
the creation of a complex of conceptual models, a well-organized intellectual
knowledge base, containing blocks of interconnected models of structure and
dynamics of control and optimization strategies. Models of synthesis procedures of
automated process control system and on their basis synthesis of conceptual model of
technological structure, its parameterization with respect to the target space of states,
determination of boundary and emergency models. These parametrized conceptual models
are tested on stability according to Liapunov theory under the influence of
perturbations with standard probabilistic characteristics [7-11, 28-37].</p>
          <p>The set of requirements for accuracy and stability of automated process
control system and the estimation of the parameters of the response to the perturbation
determine the degree of roughness and are the informational basis for the synthesis of



Model 2.</p>
          <p> ZT , ZT , ZT , ZT 
robust algorithms for detecting and processing signals, that circulate in information
channels of automated control system. This concept is the basis for the synthesis of
conflict-free strategies for resource allocation and information support [28-34].</p>
          <p>Having constructed on the basis of a conceptual model СМ SUТП В2 – a
control system of i-class which is defined by an algorithm of the solution of a problem
target task of a parametric model [28-34]. For this we need to build the next
components of the system:</p>
          <p>Model 1. SSZ – State space at intervals:</p>
          <p>– Phase space with a set of Liapunov’s stability
IR  ZU , Z0, ZU
Im  Zmax , Zmax
I A  Z  , Z </p>
          <p>A A</p>
          <p>– Aerial areas.
ФП  ZТП , ZТП 
– Normal mode;
– Allowable emissions;
Model 3.</p>
          <p>ПCds  ZˆТ / Tn </p>
          <p>– Target spaceIZ  RT CUi terminal basis control
regions</p>
          <p>dynamic mode that determine the area of operation under
the action of perturbations and changes in the intensity of flows FR1 , FRn  on the
control machines;
Z </p>
          <p>0 SR :
cycle CUi based on the resource balance model relative to the equilibrium state
DS</p>
          <p>t  m 
ZˆТП t / Tn   Z0  t0 AТП  Z , Z ,t, ,   Fвх U  ,t,   i1 Fвих t, ,  dt  Z t 
.</p>
          <p>Model 4. Model of choice of game space and dynamic description of
situations when performing control actions.</p>
          <p>The model of the game 4 space is formed on the basis of the compression of
the parameters of the terminal time(cycles), the intervals of the parameters(L1) in the
boundary mode, the target region, then.</p>
          <p>Tgi , I , Ln , Lg , LA, Lm gr S  Tgi  I  Gr CUS1  CUS2 Sz 
– model of the game on Sz .</p>
          <p>According to the purpose of the task, we can model the behavior of the
trajectory of the TS, which reflects the change in the level of the mode and the state
during the action of disturbances on the resource flows and information channels.</p>
          <p>Accordingly, the strategy of game behavior in the region of the location of
industrial technogenic systems depends both on the quality of waste disposal of each
structure in particular, and on the level of eco-control and policy and administrative
parameters. In non-constructive conflict behavior, the risks are heightened, which can
lead to a man-made catastrophe with the emission of harmful substances in the
absence of infrastructure for their deep processing and disposal (pic. 4).</p>
          <p>
            The structure of harmful products depends on the type of coal fuel, the depth
of processing, cleaning and grinding. The degree of grinding of coal dust provides
high-quality combustion of (
            <xref ref-type="bibr" rid="ref20 ref21 ref22 ref23 ref24 ref25 ref26 ref27 ref28 ref29 ref30 ref31">20-60</xref>
            ) microns, and complete purification of flue gas of
combustion products. In the presence of coal in the rock concentrate the quality of the
fuel decreases, and consequently the level of power regime decreases the risk of
contamination and accidents. In the structure of the smoke stream will be not only the gas
components of the combustion products (CO, CO2, N, S), but also the dust
components of the rock, which create dust bands scattered throughout the atmosphere.
          </p>
          <p>The scheme of formation of risk of influence of harmful products on the
ecosystem reflects the hierarchy of the game which includes the following components
[36]:
– PTSi – production technological system;
– SNR – sources of natural resources (energy, air, water, etc.);
– SІ and Е – social infrastructure and the environment;
– SA – the system of assistants in the structure of the eco-monitoring system
(SEМ);</p>
          <p>– SALTES – the system for assessing the level of technological and
environmental safety;
– SAS – state administrative structure that develops coordinating strategies
 BTCi / i n 
for industrial complexes   of productive technogenic systems;
– SISS – system infrastructure of life support of society (population).</p>
          <p>To find the necessary vehicle control strategy, it is necessary to simulate in
perturbations and play the game in the state spaces, goals, resources on the model for
different perturbation classes, determine on the basis of the interval Liapunov`s region
in phase space, and beyond them – the parameters of the strategy correction (pic. 4).</p>
        </sec>
      </sec>
      <sec id="sec-3-14">
        <title>Mechanical</title>
        <p>processing
PТS1
PТS2
PТS3 ... PТSn</p>
      </sec>
      <sec id="sec-3-15">
        <title>Products</title>
        <p>{ТSi}
SЕМ</p>
      </sec>
      <sec id="sec-3-16">
        <title>Risk assessment</title>
      </sec>
      <sec id="sec-3-17">
        <title>Chemical</title>
        <p>processing</p>
      </sec>
      <sec id="sec-3-18">
        <title>Waste accumulation</title>
      </sec>
      <sec id="sec-3-19">
        <title>Sources of energy resources</title>
      </sec>
      <sec id="sec-3-20">
        <title>Natural resources</title>
      </sec>
      <sec id="sec-3-21">
        <title>Production waste SA</title>
      </sec>
      <sec id="sec-3-22">
        <title>The level of concentration in the ecosystem</title>
      </sec>
      <sec id="sec-3-23">
        <title>Social infrastructure of social life support SІSIS</title>
      </sec>
      <sec id="sec-3-24">
        <title>The level of safety (SALTES)</title>
      </sec>
      <sec id="sec-3-25">
        <title>Socium</title>
      </sec>
      <sec id="sec-3-26">
        <title>Coordinating actions</title>
        <p>to minimize risk</p>
      </sec>
      <sec id="sec-3-27">
        <title>Strategies for the coordination of nonmade systems</title>
        <p>The analysis of the problematic situation of the interaction of technogenic
and ecological systems with the aim of reducing the risks of harmful effects on the
environment, based on the integration of gaming system and information
technologies, showed that improving the efficiency of TPP operation is possible due to the
modernization of power units, methods of preparation of fuel, improving the
efficiency of fractions combustion, optimization and coordination of operation of power unit
models with other energy sources.
7</p>
      </sec>
    </sec>
  </body>
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