%0 Journal Article %T Nonstandard Tools for Nonsmooth Analysis %A S. S. Kutateladze %J Mathematics %D 2012 %I arXiv %X This is an overview of the basic tools of nonsmooth analysis which are grounded on nonstandard models of set theory. By way of illustration we give a criterion for an infinitesimally optimal path of a general discrete dynamic system. %U http://arxiv.org/abs/1206.2364v1