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Automated tuning of bifurcations via feedback (2002)

Abstract
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.. Comment: Related materials and updates posted to: http://www.math.rutgers.edu/~sontag/

Publication details
Download http://arxiv.org/abs/math/0208167
Repository arXiv (United States)
Keywords Mathematics - Optimization and Control, Quantitative Biology, 93D15, 93C40, 37G10
Type text