Control with guidance in the pursuit game with $m$ target sets for systems with varying dynamics

Control with guidance for $m$ target sets when the system has varying dynamics is considered in this paper. It is assumed that the consequence of the meetings with the target sets is fixed. The procedure consists in introducing a secondary system – a guidance, which moves by the given stable bridge. The movements of the initial and the secondary systems are formed in such a way that in the process of the game they track each other, which guarantees ensures the stability of the solutions with respect to informational disturbances.