Some Basic Properties of the Payoffs Defined by Closed-Loop Strategies.
TEXAS UNIV AUSTIN CENTER FOR CYBERNETIC STUDIES
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Let x fx, mu, nu be the kinematic equation of a 2-person, zero-sum differential game where mu, nu is of class Cm on the playing space. It is shown that, whenever fx, mu, nu is not tangent to the terminal surface C, there exists a neighborhood of C in which every point y can be uniquely represented as tau, y sub 0, where gamma is a solution to the kinematic equations, y sub 0 is in C, and tau is the time until the path originating at y meets y sub 0. Modified author abstract
- Operations Research