On the differential game of interception

N. N. Krasovskii ; A. N. Kotel'nikova

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 113-126

Résumé

The article discusses the formalization of the differential game, proposed in Sverdlovsk-Ekaterinburg: strategy classes, generalized motion, value, and the saddle point of the game. On the basis of unification of the game can be traced out to a generalized minimax Hamilton–Jacobi equations. On the basis of a degenerate parabolic equations are constructed minimax and maximin control scheme with stochastic leader.

Détail

Keywords: unification of the game, Hamilton–Jacobi equation, the degeneracy of the parabolic equation, stochastic leader.

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