36 citations · 77 across the 19 of their papers we have counts for
25 papers · 1 filter
A Remark on Monotone I/O Systems
Eduardo D. Sontag
This note remarks that small-gain results for a negative feedback loop around a monotone system can be seen as consequences of results concerning an extended monotone system.
A notion of passivity gain and a generalization of the "secant condition" for stability
Eduardo D. Sontag
A generalization of the classical secant condition for the stability of cascades of scalar linear systems is provided for passive systems. The key is the introduction of a quantity…
Optimal length and signal amplification in weakly activated signal transduction cascades
Madalena Chaves, Eduardo D. Sontag, Robert J. Dinerstein
Weakly activated signaling cascades can be modeled as linear systems. The input-to-output transfer function and the internal gain of a linear system, provide natural measures for t…
A simple mechanism for balancing at the border of instability with applications to persistent neural activity
Luc Moreau, Eduardo Sontag
Some biological systems operate at the critical point between stability and instability and this requires a fine-tuning of parameters. We bring together two examples from the liter…
Global Asymptotic Controllability Implies Input to State Stabilization
Michael Malisoff, Ludovic Rifford, Eduardo Sontag
We study nonlinear systems with observation errors. The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affin…
Multistability in Monotone I/O Systems, Preliminary Report
David Angeli, Eduardo D. Sontag
We extend the setup in our previous paper to deal with the case in which more than one steady state may exist in feedback configurations. This provides a foundation for the analysi…