Abstract
The aim of the work is to find conditions under which a complex multifunctional system acquires a certain struc- ture and comes to a balanced state. The initial system, consisting of mutually influencing objects or processes, is modeled by a sign graph. Analysis of the degree of influence takes into account both the direct impact between neighboring peaks, and indirect, mediated through other objects. Examples are given and conditions are indicated under which, under the ac- tion of the mechanism of introducing feedbacks, an unbalanced initial graph of interactions comes to a stable two-class structure. Cases are shown when disturbances in a balanced graph, leading it out of this state, after the application of the feedback mechanism were leveled, and the system was stabilized. Both fully connected graphs and digraphs without cycles are investigated.
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