2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140781We consider a continuous time linear multi inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of "-stabilizing the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which "-stabilizability is possible through a saturated linear state feedback control. All the results are based on a Linear Matrix Inequalities (LMIs) approach and on some recent techniques for the modeling and analysis of polytopic systems with saturations.submitted to Operational Research LettersOptimization and ControlDynamical Systems93Cxx;93xxtext