Fading memory input-to-state stability

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Abstract

The chapter is devoted to the presentation of two basic lemmas that allow the conversion of an ISS-like inequality to an inequality with fading memory. The first lemma deals with an ISS-like inequality in the standard form (involving summation), while the second lemma deals with an ISS-like inequality in the max-formulation. Both lemmas play crucial roles in small-gain analysis.

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Karafyllis, I., & Krstic, M. (2019). Fading memory input-to-state stability. In Communications and Control Engineering (pp. 185–191). Springer International Publishing. https://doi.org/10.1007/978-3-319-91011-6_7

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