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This work provides an example that motivates and illustrates theoreticalresults related to a combination of small-gain and density propagationconditions. Namely, in case the small-gain fails to hold at certain points orintervals the density propagation condition can be applied to assure globalstability properties. We repeat the theoretical results here and demonstratehow they can be applied in the proposed example.

Example Demonstrating the Application of Small-gain and Density Propagation Conditions for Interconnections