On a Mutual Tracking Block for the Real Object and its Virtual Model-Leader

The research is devoted to a feedback control problem of stochastic stable mutual tracking for motions of a real dynamical object, and some virtual computer simulated model-leader, under dynamical and informational disturbances. The control and disturbance actions in the model are determined by proposed random tests. To obtain solution to the considered problem we apply the so-called extremal minimax and maximin shift conditions. Theoretical results are illustrated by numerical simulations.