About one approach to modeling of optimal control of multidimensional composite linear systems

The approach to the synthesis of optimal control of multidimensional composite linear system based on solutions of optimal control problems for inclusion in its structure of partial linear systems with scalar controls is considered. Control tasks are reduced to the problem of moments in the $L_{1}$ space for minimum functionals of the norm type, on minimum maximal Ноlder norms level (with indicators 2 and $\infty$) for the vector control composite system.