Geodesic
Control with guidance in the pursuit game with $m$ target sets for systems with varying dynamics
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2008), pp. 40-46 
M. S. Gabrielyan; A. S. Chilingaryan. Control with guidance in the pursuit game with $m$ target sets for systems with varying dynamics. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2008), pp. 40-46. http://geodesic.mathdoc.fr/item/UZERU_2008_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] N. N. Krasovskii, A. I. Subbotin, Pozitsionnye differentsialnye igry, Nauka, M., 1974, 455 pp. | MR

[2] M. S. Gabrielyan, A. I. Subbotin, “Igrovye zadachi o vstreche s $T$ tselevymi mnozhestvami”, Prikladnaya matematika i mekhanika, 43:2 (1979), 204–208 | MR

[3] A. S. Chlingaryan, “Upravlenie s povodyrem v igrovoi zadache sblizheniya s $m$ tselevymi mnozhestvami dlya sistem s postoyannoi dinamikoi”, Izvestiya NAN RA. Mekhanika, 60:3 (2007), 52–59 | MR