We consider a convex combination of matrices that arise in the study of communication networks and the corresponding convex combination of Kronecker squares of these matrices. We show that the spectrum of the first convex combination is contained in the spectrum of the second set and that the second largest eigenvalues coincide.

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This paper deals with the stability analysis of linear systems subject to fast-varying delays. The main result of this paper is the derivation of a delay-dependent reciprocally convex lemma allowing a notable reduction of the conservatism of the resulting stability conditions at the reasonable price of additional decision variables. Several examples are studied to show the potential of the prop...