Authors: Vladimir Turetsky, Valery Glizer
A robust trajectory tracking problem is treated in the framework of a zero-sum linear-quadratic differential game of a general type. For a cheap control version of this game, a novel solvability condition is derived. Condition, guaranteeing that the tracking problem is solved by a cheap control game optimal strategy, is established. A boundedness of the minimizer's control is analyzed. Illustrative pursuit-evasion examples are presented.