Within the framework of using digital technologies, this article substantiates mechanisms for examining scientific and technical potential of universities with introduction of methods of the active system management. Rigorous mathematical proofs are provided of the equilibrium state existence in expert examination procedures reflecting the experts’ subjectivity. In particular, experts’ interest in the examination results, as well as in their own personal ratings are demonstrated. It is concluded that digitalization of scientific and educational activities in modern universities possesses an important consequence in the form of elaborating programs for optimal management of their intellectual activity results. In addition, considered mechanisms of expert examination procedures make it possible with a high degree of correctness to evaluate complex projects connected to digitalization of scientific and technical products and optimization of resource management in executing programs at the universities.