|
Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 1, Pages 59–68
(Mi timm899)
|
|
|
|
This article is cited in 5 scientific papers (total in 5 papers)
On calculating the value of a differential game in the class of counterstrategies
M. I. Gomoyunova, D. V. Kornevab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Abstract:
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.
Received: 03.09.2012
Citation:
M. I. Gomoyunov, D. V. Kornev, “On calculating the value of a differential game in the class of counterstrategies”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 59–68
Linking options:
https://www.mathnet.ru/eng/timm899 https://www.mathnet.ru/eng/timm/v19/i1/p59
|
|