36 citations · 77 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
Multi-Stability in Monotone Input/Output Systems
David Angeli, Eduardo D. Sontag
This paper studies the emergence of multi-stability and hysteresis in those systems that arise, under positive feedback, starting from monotone systems with well-defined steady-sta…
Monotone Systems with Inputs and Outputs
David Angeli, Eduardo D. Sontag
Monotone systems constitute one of the most important classes of dynamical systems used in mathematical biology modeling. The objective of this paper is to extend the notion of mon…
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…