  This letter presents an extended analysis and a novel upper bound of the
subclass of Linear Quadratic Near Potential Differential Games (LQ NPDG). LQ
NPDGs are a subclass of potential differential games, for which a distance
between an LQ exact potential differential game and the LQ NPDG. LQ NPDGs
exhibit a unique characteristic: the smaller the distance from an LQ exact
potential differential game, the closer their dynamic trajectories. This letter
introduces a novel upper bound for this distance. Moreover, a linear relation
between this distance and the resulting trajectory errors is established,
opening the possibility for further application of LQ NPDGs.
