In the article, in the framework of optimal control theory in state space, while approaches in the formulation of the Letov-Kalman's and on the basis of inverse dynamics problems, the synthesized optimal by the criterion of minimum quadratic local functional quality of the algorithms targeting the fighter and the missiles "air-to-air" on-air group goal. These algorithms guidance together with minimal penalties additionally provide onboard radar stations of aircrafts of appropriate conditions required for the radar reflected from an aerial target group signals in the interests of resolution of the elements of group air targets on a Doppler frequency based on the effect of radar synthetic aperture antenna and recognition of the attacked VTS based on the effect the secondary modulation.