“…Modern scientific research in this area [1,2,3] substantiates the most rational ways of integrating knowledge in the field of resource management of complex systems for sustainable development [4], namely: reducing all kinds of risks [3,5] and increasing the efficiency of complex industrial systems for account of the rational use of information resources [2,6]. Which, in turn, makes many scientists pay attention [7,8,9] to the development and improvement of the applied theory of matrices in the interests of providing an iterative approach [7] to information processing and controllability of complex systems [9, 10], taking into account the dynamics of external influences.…”