Robust control of uncertain multi-inventory systems via linear matrixinequality

We consider a continuous time linear multi-inventory system with unknown demands bounded within ellipsoidsand controls bounded within ellipsoids or polytopes. We address the problem of -stabilising the inventory sincethis implies some reduction of the inventory costs. The main results are certain conditions under which -stabilisability is possible through a saturated linear state feedback control. All the results are based on a linearmatrix inequalities approach and on some recent techniques for the modelling and analysis of polytopic systemswith saturations. Numerical simulations are provided.