Example Demonstrating the Application of Small-gain and Density Propagation Conditions for Interconnections
arXiv:1606.023601 citationsh-index: 29
Originality Synthesis-oriented
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For control theorists, this is an incremental illustrative example of existing theoretical conditions.
This paper provides an example demonstrating how density propagation conditions can be applied to assure global stability when small-gain conditions fail, illustrating theoretical results without new empirical findings.
This work provides an example that motivates and illustrates theoretical results related to a combination of small-gain and density propagation conditions. Namely, in case the small-gain fails to hold at certain points or intervals the density propagation condition can be applied to assure global stability properties. We repeat the theoretical results here and demonstrate how they can be applied in the proposed example.