Mathematics – Optimization and Control
Scientific paper
2002-08-22
Mathematics
Optimization and Control
Related materials and updates posted to: http://www.math.rutgers.edu/~sontag/
Scientific paper
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 problem, which arises in at least two different biological applications (Hopf bifurcations in the auditory system, and neural integrators used to maintain persistent neural activity), is that of tuning a parameter so as to bring it to a value at which a bifurcation takes place.
Arcak Murat
Moreau Luc
Sontag Eduardo
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