36 citations · 77 across the 19 of their papers we have counts for
6 papers · 1 filter
A cooperative system which does not satisfy the limit set dichotomy
Eduardo D. Sontag, Yuan Wang
The fundamental property of strongly monotone systems, and strongly cooperative systems in particular, is the limit set dichotomy due to Hirsch: if x(0) < y(0), then either omega(x…
A Relaxation Theorem for Differential Inclusions with Applications to Stability Properties
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
The fundamental Filippov-Wazwski Relaxation Theorem states that the solution set of an initial value problem for a locally Lipschitz inclusion is dense in the solution set of the s…
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…
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…
Structure and Stability of Certain Chemical Networks and Applications to the Kinetic Proofreading Model of T-Cell Receptor Signal Transduction
Eduardo D Sontag
This paper deals with the theory of structure, stability, robustness, and stabilization for an appealing class of nonlinear systems which arises in the analysis of chemical network…
Global Stability of McKeithan's Kinetic Proofreading Model for T-Cell Receptor Signal Transduction
Eduardo D. Sontag
This note presents a self-contained and streamlined exposition of chemical-network results due to Feinberg, Horn, and Jackson. As an application, it shows the global asymptotic sta…