36 citations · 104 across the 27 of their papers we have counts for
Showing 2001 · math.OCShow all
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math.OC2001
Asymptotic amplitudes and cauchy gains: A small-gain principle and an application to inhibitory biological feedback
Eduardo D. Sontag
The notions of asymptotic amplitude for signals, and Cauchy gain for input/output systems, and an associated small-gain principle, are introduced. These concepts allow the consider…
math.OC2001
Asymptotic cauchy gains: Definitions and small-gain principle
Eduardo D. Sontag
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 th…
math.OC2001
A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnections
Brian Ingalls, Eduardo D. Sontag
A general ISS-type small-gain result is presented. It specializes to a small-gain theorem for ISS operators, and it also recovers the classical statement for ISS systems in state-s…