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math.OC2026
Boundedness of solutions in feedback systems with antithetic controllers
Moh Kamalul Wafi, Arthur C. B. de Oliveira, Eduardo D. Sontag
Antithetic feedback controllers have become a key experimental and theoretical tool in synthetic biology. Introduced by Khammash and collaborators about 10 years ago, they are empl…
math.OC2023
Global exponential stability (and contraction of an unforced system) does not imply entrainment to periodic inputs
Alon Duvall, Eduardo Sontag
It is often of interest to know which systems will approach a periodic trajectory when given a periodic input. Results are available for certain classes of systems, such as contrac…