Representation of generalized solutions for nonlinear dynamic systems with impulse control

Considers a dynamic system whose state is governed by a nonlinear differential equation with two types of control. One of the controls is not bounded in the norm and can be taken in the form that is as close as desired to impulse functions of a δ-function type. In this case the corresponding solution of the differential equation is a discontinuous function and it requires that the concept of solution be extended. The author´s main problem is to find the response of a dynamic system to a pulsed control or a generalized control