DESIGN OF DYNAMIC STRUCTURAL MODELS OF INFORMATION MANAGEMENT SYSTEM OF MOVING OBJECTS

In the following work the authors attempt to find the best way to design a dynamic structural model of information management system of moving objects. This structural model allows organizing various management systems of moving objects, considering the spatial and time dependencies between the key components or parameters of the said management system. An example of such system may be a group of UAVs.


Introduction
The structural models allow describing properties of the objects of any type. Based on the understanding of the structure of these objects, one can get an idea about it and separate the required parameters. In this case, they represent the following: integral characteristic, which integrates the whole object to the maximum extent; a parameter, which describes the spatial or time representation of the object; and the functioning process of an object taken as a whole.
Depending on the characteristics of the object, a description of its structure can be introduced in different forms.

Problem analysis
The organization of an information system, in which one component is a moving object (RO), having features, namely: spatial distribution of its components; mobility of individual system elements in space and in the process of its functioning; the existence of critical parameters, which have their own specific interpretation, directly linked to the entire system functioning process.
Spatial distribution is determined by the necessity to create an object structure, which would bring spatially distributed components together in one system. This feature is shown in physical objects, having complex structure. In this case, a graphic display of the corresponding structure is used in the form of classic graphs. Thus, the minimum information load of such interpretation structure includes nodes of a graph Maximum information load of such interpretation structure lies in the fact that the links orientation is added to a minimum load in the form of arrows between the nodes, which is technically described as j e i e  , and the introduction of a link weight concept, which by some means or other determines the significance of a certain link, which is written as following: as

Problem solving
Function expansion of structural models, which consists of expanding the functional interpretation of nodes, in general can be introduced by Petri net [8]. It provides an analysis of the interaction of separate information flows, which in their interpretation are narrowed down to their designation in the form of signals. This interaction lies in synchronization of signals, which enter the node from different edges ik ν and jk ν , which are included into the node The expansion of the possibilities of graph means through their complication does not seem correct, since in this case the appropriate means stop corresponding to the core of structural means, which primarily provides simplicity and display of an object as a single set of different components.
In the case of distributed dynamic system, which is the information management system RO, which will be denoted as IUS, in order to introduce general structural descriptions, one must use at least those parameters, reflecting the spatial and time dependencies between the key components or parameters, which identify them at the required high level.
Considering that in dynamic system we talk about the time interdependencies, thus time parameter can be taken as integral parameter, each value of which identifies a specific condition of individual components, which, in general, exist within the system and define it. The parameters, describing changes, which occur in the system, can illustrate examples of such parameters. Furthermore, since the dynamic characteristic of the system is linked to the changes within it, then the following integral parameters, except the time, can be other unspecified parameters, identifying the relevant changes within the system. Such parameters can be exemplified by parameters, describing changes of spatial coordinates, which determine the location of object individual components and other parameters related to it.
The classic method for describing time or dynamic dependencies lies in the use of graphs in the form of certain net. In order to describe some dynamic system structure, it is necessary to resolve a task of graph structure or net structure synthesis.
Classic oriented loaded graph is formally described by the following formula: describes edges orientation, which is given by the sequence of two nodes, assigned to one edge and is , simply ordered set, which exists within the structure of G graph.
If the condition of the absence of common edges in simply ordered sets is met, the formula (2)


In order to describe time dependencies in a system, as already mentioned, the nets [7] are used in the form of graph structures. A particular feature of such graphs is their time ordering. Formally, the graphs, reflecting the nets, are described by the following formula and are called nets: where G is a graph with formula (1), and T is parameter, according to which method of ordering, defined by a multitude ) , ( E V f , is realised. Such ordering is defined on the level of edges and is formally written as a following formula: is functional relation, which defines the ordering in G graph. If the ordering is considered as synchronization of events, which create the process of object functioning, the structural model (4) degenerates into a Petri graph. Within the considered IUS, the ordering is understood in the broader sense of the term. For example, let us assume that time, which value is measured according to some functional relation A synchronization of the functioning process is an example of a situation, where the functional parameter, which determines the fact of one specific event or a chain of events, is used as the T parameter. In this case, the ordering in the dynamic structure of the object is determined by the identification of occurrence of events and logical analysis, defining the conditions of system transition to the next state. In this case, the functioning process within the structural model is described as a time-varying function with the ordinary moment 0 t , which corresponds to the beginning of functioning process and the finishing moment n t , corresponding to the completion of functioning process or the completion of the separate cycle of functioning process.
Implicitly the dynamic structural model is described by the formula (4). In order to be able to introduce this model explicitly or in another constructive form, we shall consider several features of IUS system. Since the structural model is most common, compared to the models of individual components, it should reflect all the requirements, imposed to the IUS system in general. It must be noted that the reflection and provision of functioning dynamics to reduce to synchronization processes are not sufficient for the following reasons: the synchronization process makes it possible to continue the functioning only if all required events have occurred in the system till the specified moment; a key parameter of the synchronization process is time parameter, which represents the moment in which the object fluidity is tested when it comes to the functioning process in realtime mode; mainly the task of fluid value of time in the form of linear function corresponds to the most common interpretation of this parameter, which does not depend on the characteristics of the object of management.
In the case of RO management system of the UAV type, IUS functioning must continue irrespective of whether all identified events are carried out in the system or not [3,4,5]. This means that IUS functioning process of UAV must be divided and shall continue by some means or other depending on its fluidity. In order to arrange this, the possibility to change the key fluid parameter of dynamics control to another parameter has to be foreseen. For example, the time parameter is replaced by liveness parameter, or another parameter, which is determined based on the analysis of IUS fluidity. If it is impossible to select the dynamic parameter in the functioning process, in order replace the fluid parameter, a modification of task objective is done; the task is further resolved in such a manner, which makes it possible to determine the new dynamic parameter. As a part of this approach, it is vital to solve the task of synthesis of the static component of the G structural model with a dynamic component of the structural model, which will enable to get a synthesized dynamic structural model . D As mentioned above, the static structural model is described by the direct marked graph: U is a multitude of graph labeling, which can lie in the nodes or edges labeling. The functioning process can be introduced in the following ways.
It is possible to draw a maximal graph, describing all possible situations, which may occur in the process of system management, for example, UAV. In this case, such graph is described by a following formula: , ... The second method of MS structural introduction for the IUS of UAVs lies in the implementation of graph structure, reflecting the basic graph system. The expansion of such a structure is done in the process of implementing various types of IUS functioning, which are defined by the objective of a task to be solved, and the conditions to be met during its resolving. Since the functioning processes are considered within the MS model at the structural level, the mechanisms for the MS core expansion can be based not only on graph extension methods, but methods of logical means of transformations.
Generally, the MS is divided into active and passive components. The degree of passivity is determined by the number of structure fragments initiations MS ms i  , which are defined for a given period of the IUS functioning, which is defined as follows:

Conclusion
The dynamic expansion of MS structural model of the IUS system can be implemented in the following ways:  in the process of setting the IUS to solve some task;  in the process of task solving, which involves the maintenance of a process in real-time mode;  in the case of occurrence in IUS space in the process of resolving a particular task, of a specific anomaly, which is interpreted as a certain indeterminateness.