An analytic approach to constructing configurations of technical systems

We consider a formalized problem setting for designing possible configurations of a technical system with redundant components and its analytic solution. As the quality criterion for a specific configuration we use the constancy of a given set of functions fulfilled by the system. We formulate the problem of redundancy as finding possible values of the ‘integration’ matrix in an equipment platform that relates input and output interfaces that would ensure the constancy of a collection of the system’s transition matrices intended to evaluate its quality. We obtain a full set of solutions and a version of a solution of the formulated problem which is easier to implement. We give an illustrative example of a real life application.