36 citations · 77 across the 19 of their papers we have counts for
9 papers · 1 filter
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…
Automated tuning of bifurcations via feedback
Luc Moreau, Eduardo Sontag, Murat Arcak
The present paper studies a feedback regulation problem, which may be interpreted as an adaptive control problem, but has not yet been studied in the control literature. The proble…
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…
Monotone Control Systems
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…
Determination of Functional Network Structure from Local Parameter Dependence Data
Boris N. Kholodenko, Eduardo D. Sontag
In many applications, such as those arising from the field of cellular networks, it is often desired to determine the interaction (graph) structure of a set of differential equatio…
Singular trajectories in multi-input time-optimal problems: Application to controlled mechanical systems
M. Chyba, N. E. Leonard, E. D. Sontag
This paper addresses the time-optimal control problem for a class of control systems which includes controlled mechanical systems with possible dissipation terms. The Lie algebras…