Issue 184, article 4


KVT, 2016, Issue 184, pp.44-56

UDC 681.5


Romanenko V.D., Milyavsky Y.L.

Educational and Scientific Complex “Institute for Applied Systems Analysis” of National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kiev, Ukraine ,

Introduction. Cognitive maps are widely used for modeling large multidimensional systems. These are weighted oriented graphs that represent concepts and relations between them. When external or internal disturbances affect the system impulse process is initiated. It is described by first-order equation in increments of vertices coordinates. A number of articles solved a problem of control in cognitive map’s impulse process by means of control theory methods. But all of them used external control inputs, i.e. resources of the vertices, for this purpose.

The purpose of the article is to develop new method of control where cognitive map’s edges weights are used as controls for impulse process stabilisation.

Results. New method of control of cognitive maps was developed. It is based on varying of the map’s edges weights. It was supposed that some of the vertices may affect other ones in different way, i.e. stronger or weaker. After presenting impulse process model in full coordinates weights increments were added to the difference equation. They were considered as control inputs which were generated according to the control law developed based on quadratic criterion. Stability of the closed-loop system was demonstrated. To verify the results, method was simulated using cognitive map of student’s socio-educational process. Finally we obtained that for stable cognitive map vertices’ coordinates are quickly stabilised at new levels via edges’ weights varying.

Conclusion. Applying the proposed method of control based on weights varying to impulse process of cognitive map allows setting vertices coordinates on desired levels.

Keywords: cognitive map, control law, weights increments, stabilisation at new levels.

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Received 24.03.2016