The article covers methods of visually evoked potentials selection, problems and restrictions on usage of methods for evoked potentials definition, restrictions imposed on a patient. The authors unravel relevance of the humanmachine neurocomputer interaction tasks, provide a description of the main approaches and basic training and management methods, denote pain points and requirements in this field, inter alia when developing and attempting to advance efficiency of the robot system management methods. Current work presents comparison of the main selection methods of well-established visually evoked potentials based on The Minimum energy combination method, Canonical correlation analysis and Multivariate synchronization index method. The result of the authors’ research is recommendations on usage of any given methods of visually evoked potentials selection subject to terms and conditions of usage, restrictions imposed on the methods and these imposed on patients when it comes to usage of neurocomputer interfaces; the values obtained are of a considerable practical importance because they could be used for neurocomputer interface forming up on the basis of visually evoked potentials and could be used in future for developing of the management theory of robot system of various purpose and for realization of decisions on human-machine interaction arrangement within restricted practical tasks.