On the Upper Bound of Near Potential Differential Games

Abstract: This letter presents a novel analysis of the subclass of near potential differential games (NPDG). NPDGs are a subclass of potential differential games, for which a distance between an exact potential differential game and the NPDG. An appealing property of NPDGs is that, the smaller the distance between an exact potential differential game and the NPDG, the closer are their behaviors. In this letter, a novel upper estimation for this distance is given. Moreover, a relationship between this distance and the resulting trajectory errors is established opening the possibility for further application of NPDGs.

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