Geodesic
On a nonstationary problem of group pursuit
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 40-51
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Pontryagin's classical nonstationary example with many participants and phase constraints on the evader's states with equal dynamic and inertia capabilities of the players is considered. The case of a simple motion is considered separately. Solvability conditions for problems of pursuit and evasion are obtained.
Keywords: group pursuit, nonstationary problem, Pontryagin's example, phase constraints. 
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A. S. Bannikov; N. N. Petrov. On a nonstationary problem of group pursuit. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 1, pp. 40-51. http://geodesic.mathdoc.fr/item/TIMM_2010_16_1_a3/

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