Development is considered for the mathematical models used to design Russian-speaking interactive voice controlled self-service systems.Interactive self-service systems for today are required for the advancement of modern information and service systems. The tendency consists that in all of them speech technologies in this connection creation of the speech interface simple, effective and convenient for clients. It must fully consider the limitations of the person communicating with the automatic device is required are more widely used. Design of the speech interface requires careful research. Research about the abilities of people to communicate with the automatic device. Development of corresponding mathematical models of dialog sequences. And the development of strategy, techniques and recommendations on the speech man-machine interface.