The concept of impulsive control and its mathematical foundation called - pulsive di?erential equations, or di?erential equations with impulse e?ects, or di?erential equations with discontinuous righthand sides have a long history. In fact, in mechanical systems impulsive phenomena had been studied for a long time under di?erent names such as: mechanical systems with impacts. The study of impulsive control systems (control systems with impulse e?ects)...