The paper proposes an approach to activate students’ graduate experience and motivate their cognition abilities in the corresponding field of science in order of preparing to independent research activity. Such activation and motivation are proposed to be implemented via special assignments on analysis of “real”, what means actually published, scientific results in order to find delusions, errors, etc. therein. The pre-sent paper demonstrates ways and methods, both simulation and analytical, to be applied to analyze delusions concerned with various attempts of generalization of conventional techniques and notions relating to such a branch of the control theory as the system identification. The paper presents methods and formulates corresponding assignments to reveal the delusions concerned with information theoretic approaches: application of the mutual (Shannon) information and attempts of generalization of the notion of entropy.