Numerical Solution of Two-dimensional Diierential Games
نویسندگان
چکیده
This paper is devoted to two-dimensional diierential games. The problem of nding the set of all points for each of which the rst player guarantees the achievement of a given target set within a nite time interval under any actions of the second player is considered (the game of kind). An algorithm based on operations of constructing and sewing semipermeable curves is given. One particular nonlinear game of kind is studied. An algorithm for nding level sets of the value function for linear minimum-time game problems is described. A number of numerical examples which demonstrate speciic features of solutions is presented. The paper can be useful for specialists working in the eld of optimal control theory and diierential games.
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