216 citations · 689 across the 90 of their papers we have counts for
15 papers · 1 filter
An observability result related to active sensing
Eduardo D. Sontag, Debojyoti Biswas, Noah J. Cowan
For a general class of translationally invariant systems with a specific category of nonlinearity in the output, this paper presents necessary and sufficient conditions for global…
Revisiting Totally Positive Differential Systems: A Tutorial and New Results
Michael Margaliot, Eduardo D. Sontag
A matrix is called totally nonnegative (TN) if all its minors are nonnegative, and totally positive (TP) if all its minors are positive. Multiplying a vector by a TN matrix does no…
Contraction After Small Transients
Michael Margaliot, Eduardo D. Sontag, Tamir Tuller
Contraction theory is a powerful tool for proving asymptotic properties of nonlinear dynamical systems including convergence to an attractor and entrainment to a periodic excitatio…
On Three Generalizations of Contraction
Eduardo D. Sontag, Michael Margaliot, Tamir Tuller
We introduce three forms of generalized contraction (GC). Roughly speaking, these are motivated by allowing contraction to take place after small transients in time and/or amplitud…
A remark about polynomials with specified local minima and no other critical points
Eduardo D. Sontag
The following observation must surely be "well-known", but it seems worth giving a simple and quite explicit proof. Take any finite subset X of Rn, n>1. Then, there is a polynomial…
An observation regarding systems which converge to steady states for all constant inputs, yet become chaotic with periodic inputs
Eduardo D. Sontag
This note provides a general construction, and gives a concrete example of, forced ordinary differential equation systems that have these two properties: (a) for each constant inpu…