Estimation of the reachability sets and attraction sets for the supply networks with structural constraints by means of invariant ellipsoids

Abstract

The estimation problem of reachability sets and attraction sets for the supply networks with structural constraints, the model of which is given in the form of a discrete model with delay in state space is investigated. The control law as a feed-back with respect to signal mismatch between the cash and safety stock levels with given unsymmetrical constraints is considered. The reachability sets and the attraction sets of such systems are described in terms of invariant ellipsoids using the technique of linear matrix inequalities and semidefinite programming.