36 citations · 77 across the 19 of their papers we have counts for
7 papers · 2 filters
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…
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…
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…
A remark on the converging-input converging-state property
Eduardo D. Sontag
Suppose that an equilibrium is asymptotically stable when external inputs vanish. Then, every bounded trajectory which corresponds to a control which approaches zero and which lies…
Adaptation Implies Internal Model
Eduardo D. Sontag
This note provides a simple result showing, under suitable technical assumptions, that if a system S adapts to a class of external signals U, then S must necessarily contain a subs…