2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76672This short note is a conceptual prologue to the series of articles devoted to the analysis of interrelations between the representation theory (especially, its inverse problems) and the control and games theory.revised version (3 pages, AMSTEX): remark 4 is addedFunctional Analysistext