The impulsive forming is widely used in the modern industry, The superplastic impulsive forming isn't well known, though could have useful applications. Applied aspects of the superplastic impulsive forming problem, including both control external stress and heat influence parameters are stated in the present research. The problem is reproduced in the vector representation of optimizing functions. In the case of the limited number of measurements the task leads to well known scale c representations with similar physical characteristics. In the technological processes considered here forming pressures are generated by the impulsive energy sources on the base of high explosives. Preheating of the deformed workpiece is performed from the autonomous heat power source or workpieces are heated during forming process.