Asymptotic cauchy gains: Definitions and small-gain principle

Eduardo D. Sontag

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Asymptotic cauchy gains: Definitions and small-gain principle

Eduardo D. Sontag

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Abstract

A notion of "asymptotic Cauchy gain" for input/output systems, and an associated small-gain principle, are introduced. A Lyapunov-like characterization allows the computation of these gains for state-space systems, and the formulation of sufficient conditions insuring the lack of oscillations and chaotic behaviors in a wide variety of cascades and feedback loops.

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Eduardo D. Sontag. 2001-12-03. Asymptotic cauchy gains: Definitions and small-gain principle. https://arxiv.org/abs/math/0112021

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