Asymptotic cauchy gains: Definitions and small-gain principle

Mathematics – Optimization and Control

Scientific paper

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Preliminary Report. See http://www.math.rutgers.edu/~sontag for related materials

Scientific paper

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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