Abstract
Background. The paper deals with the problem of cognitive modelling, namely control of complex systems with dynamics in impulse process presented by cognitive maps. It is assumed that the systems operate with delays that may occur either between vertices coordinates of a cognitive map or during transmission of control signals.Objective. Build models of cognitive maps with different delays and to apply these models to control impulse processes in cognitive maps.Methods. The article discusses two approaches for delays – control delays and delays during interaction between the vertices of a cognitive map. For the first case, a control algorithm based on reference model of a closed system was proposed, for the second case it is based on quadratic optimality criterion. Obtained results were verified using cognitive maps of commercial bank and health care system. Different delays were included into these systems and control laws were developed.Results. Simulation results have confirmed that proposed methods reach the objective, i.e. they allow stabilising system with delays in impulse mode.Conclusions. Research provided in the paper extended the class of controlled cognitive maps by systems with delays.
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