Abstract
A two-player zero-sum linear differential game with a fixed termination time, a convex terminal payoff function, and geometrical constraints on player controls is considered. In a previous study, the optimal strategy of the second player (the payoff maximizer) who uses minimum information on the value function of the game was implemented as a piecewise-programmed control, which required specification of certain parameters dependent on the initial position /1/. The present study proposes a second-player strategy in which the control is synthesized by the feedback principle using switching surfaces. The strategy may become non-optimal only in case of sliding on the switching surfaces. This construction was considered in /2/ for the first player with scalar control.
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