Authors N.E. Sergeev, E.R. Muntyan, A.A. Tselykh, A.N. Samoylov
Month, Year 03, 2017 @en
Index UDC 004.421+519.178
Abstract In this paper we make an assumption that the discretization of both the values of information and control actions is possible in case of a continuous change in the parameters of the current situations when controling the objects. It is important to avoid the loss of qualitative characteristics of control. It is proposed to represent the current, target and reference situations using a graph paradigm. For the considered range of tasks such graphs of situations can be pretty large, that is the problem especially in conditions of limited possibilities of mobile media control subsystems. Control of a group of objects also requires the decision algorithms based on the results of partial processing of available information. This paper proposes to evaluate not the sequence of situations after step-by-step transitions, but the overall situation, in which the system may find itself after any transitions. It is possible to consider the criteria that allow in some directions to summarize the situation by several steps ahead. In this paper we performed an analysis of possible ways of repre-senting the graph situations considering their advantages and disadvantages for different types of graphs. We explore the ways to represent graphs using lists of edges. In the paper we propose the algorithm of graph convolution or generalization. The essence of the algorithm is the partitioning of the graph into clusters of different levels in a certain way, the representation of each cluster of the graph as lists of edges and absorption of the current cluster by the cluster of the next level. Particular usage of the proposed algorithm is illustrated on the example of the situation graph generalization.

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Keywords Graph; situation; control; list; algorithm; convolution.
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