Transformations of control systems for the investigation of pulse modes

It is considered a scheme of transformation of control system with unbounded velocity hodograph to a system of reduced order (called the derived system) via integral of the limit system which describes behavior of the original one under pulse (practically sufficiently large) control inputs. There are formulated the conditions (connected with controllability of the limit system on its integral manifold) when some solution of the derived system will be a generalized solution of the original one that is it can be approximated by a sequence of regular solutions. Methodical and applied examples are given.