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1. Basic concepts and definitions of similarity theory and modeling

The use of information technology in the design of control systems contributes to the development of mathematical modeling. With this improved not only the mathematical methods for solving problems, but also the software that implements the relevant algorithms. In addition, the emerging new perspective directions in the theory of mathematical modeling, focused on the analysis and synthesis of complex systems.
 
Complex systems, in some cases can not be separated into the individual subsystems. If a complex system can be separated into parts, it constitutes an autonomous subsystem.
 
Complex systems exhibit the following symptoms.
1. Availability of optimization goals.
2. The search for optimization of conditions and restrictions.
3. Control on the basis of receiving, storing, processing information.
4. Adjustment of the dynamic properties based on feedback.
5. Consideration of interactions with the environment.
6. Reflection probability factors.
 
Section of Technical Cybernetics, the science of optimal management of self-organizing and self-developing in complex systems is the theory of similarity.
 
The simulation is based on the similarity theory, according to which the absolute similarity can take place only when replacing one object to others, exactly the same. In the simulation, it is impossible to achieve absolute similarity and should seek to ensure that the model adequately reflects the studied object towards the operation.
 
Similarity and modeling allows you to organize, summarize and formalize the logical approach to the study of phenomena and systems, which the study of the special role played by experimental methods.
 
Simulation is divided:
1. Theory of similarity and modeling - allows you to find the common features of phenomena, plan and carry out an experiment to process experimental data.
2. Basis of the application of computer technology.
3. Information Theory information on modes of the system.
4. The theory of information modes of automated systems.
 
Similarity and simulation are beginning to consider in the broad sense when objects are grouped together on the complex grounds, and not just on the basis of similarities. Simulation becomes the basis for research experiments, not only physical, but mental and mathematical (changing the concept of similarity and modeling).
 
The overall objective of the similarity theory and modeling is to develop methodologies aimed at streamlining obtaining information about objects that exist outside of our consciousness and interconnected. With a lack of information about objects hypothesize as to test them using the method of analogies.
 
Analogy - a judgment about the similarity of the two objects, allowing, on the basis of similarity of these objects in some respects, to judge the similarity of others.
 
Analogies, reflecting the physical objects of the world, should have the visibility or reduced to a convenient way for the analysis of structures. The aggregate of such structures are a model of the object.
 
Model - is a natural or man-made object in accordance with the object under study or its properties.
 
Simulation - a cognitive process comprising processing information from the outside world, when there are images in the mind, having similarities with the relevant objects. The amount of images allows us to study the properties and relationships of objects.
 
Mental model - a mathematical record, compiled on the basis of the amount and contains a description of the physical laws.
 
In addition, there are further interpretations of the concept of modeling used in the theoretical and experimental (virtual) examination of the object.
 
Modeling - is the creation of some systems (models) having a certain similarity with the original.
 
Simulation - a reproduction process of the object of an adequate model of the object.
 
Simulation - a set of actions to design the model of a real system in order to study the nature of the system, the capacity of its structural development or predicting behavior.
 
Simulation - a process designed test system to predict or assess the processes of the proposed model on the processes of the real object.

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