36 citations · 77 across the 19 of their papers we have counts for
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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…
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…
For differential equations with r parameters, 2r+1 experiments are enough for identification
Eduardo D. Sontag
Given a set of differential equations whose description involves unknown parameters, such as reaction constants in chemical kinetics, and supposing that one may at any time measure…
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…
An Infinite-Time Relaxation Theorem for Differential Inclusions
Brian Ingalls, Eduardo D. Sontag, Yuan Wang
The fundamental relaxation result for Lipschitz differential inclusions is the Filippov-Wazewski Relaxation Theorem, which provides approximations of trajectories of a relaxed incl…