2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228815Let $G$ be a connected linear algebraic group, let $V$ be a finite dimensional algebraic $G$-module, and let $\mathcal O_1$, $\mathcal O_2$ be two $G$-orbits in $V$. We describe a constructive way to find out whether $\mathcal O_1$ lies in the closure of $\mathcal O_2$ or not.15 pages. Example 1.15 and Remark 1.16 are added. Several minor typos are fixedAlgebraic GeometryOptimization and Control14L30; 14Q99text