Abstract
In this paper we analyse the positive invariance of polyhedral sets with respect to the state trajectories of a special class of dynamical systems governed by coupled delay-differential and delay-difference equations in continuous time. By means of an appropriate model transformation, we derive conditions under which a given polyhedral set is positively invariant with respect to the transformed model, in the form of linear equalities and inequalities. A particular feature of the derived conditions is their explicit dependence on the delay, seen as a parameter. We establish connections of positive invariance between the original and the transformed systems. Illustrative examples complete the presentation.
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