2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77583In the present paper we introduce the notion of dilation of a multiparametric linear stationary dynamical system (systems of this type, in particular passive, and conservative scattering ones were first introduced in func-an/9804130). We establish the criterion for existence of a conservative dilation of a multiparametric passive scattering system. This allows to distinguish the class of so-called $N$-passive systems preserving the most important properties of one-parametric passive scattering systems.LaTeX2e; no picturesFunctional AnalysisOperator Algebras47A20, 47A56, 93C35text