Algorithms for computing Minkowski operators and their application in differential games

DOI10.1134/S0965542514020055zbMath1313.91012MaRDI QIDQ2940368

Pavel Dvurechensky, Grigorii E. Ivanov

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

differential gameconvolution methodMinkowski operatorepsilon-optimal control strategy

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23)

Related Items (8)

On the numerical solution of a minimax control problem with a positional functional ⋮ Estimate of the capture time and construction of the pursuer's strategy in a nonlinear two-person differential game ⋮ \(\varepsilon\)-capture in nonlinear differential games described by system of order two ⋮ Generalized mirror prox algorithm for monotone variational inequalities: Universality and inexact oracle ⋮ Zero-sum pursuit-evasion differential games with many objects: survey of publications ⋮ To a nonlinear pursuit problem with discrete control ⋮ A nonlinear pursuit problem with discrete control and incomplete information ⋮ Unnamed Item

Cites Work

• Algorithm for constructing an optimal control strategy in a nonlinear differential game with Lipschitz compactly supported payoff
• Controlling dynamical systems. Collection of scientific works.
• On the construction of maximal stable bridges in a class of nonlinear differential encounter games
• Minimax algorithm for constructing an optimal control strategy in differential games with a Lipschitz payoff
• Exact and Efficient Construction of Planar Minkowski Sums Using the Convolution Method
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