MODELING OF ELECTRIC OSCILLATIONS FOR TELEGRAPHIC EQUATIONS ON A GRAPH
Many papers have been devoted to the investigation of boundary control problems, for example the publications of V.A. Il’in and his disciples. The main goal of the research is to obtain conditions under which the process of distributed system oscillations could be transferred from the initial state to the specified final state. At the same time, the existence of a control is not just substantiated, but its explicit formula is presented. In this paper, we consider a model of electrical oscillations, described by a system of telegraph equations on a geometric graph-star. The problem of boundary regimes choosing is studied. These regimes allow to transfer the system from the initial state to the specified final state.