Geodesic
On calculating the value of a~differential game in the class of counterstrategies
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 59-68

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For a linear dynamic system with control and disturbance, a feedback control problem is considered, in which the Euclidean norm of the set of deviations of the system's motion from given targets at given times is optimized. The problem is formalized into a differential game in “strategy-counterstrategy” classes. A game value computing procedure, which reduces the problem to a recursive construction of upper convex hulls of auxiliary functions, is justified. Results of numerical simulations are presented.
Keywords: differential games, value of the game, saddle point, counterstrategies. 
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M. I. Gomoyunov; D. V. Kornev. On calculating the value of a~differential game in the class of counterstrategies. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 59-68. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a5/