2002/08/22 by Luc Moreau, Eduardo Sontag, Eduardo D. Sontag +4 · 3 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Neuroscience · Physics and Astronomy · #37G10 #93C40 #93D15 #Adaptive control #Artificial intelligence #Bifurcation #Chaos control and synchronization #Computer science #Control (management) #Control engineering #Control theory (sociology) #Engineering #FOS: Biological sciences #FOS: Mathematics #Feedback control #Hopf bifurcation #Integrator #Mathematics #Neural dynamics and brain function #Nonlinear system #Optimization and Control (math.OC) #Physics #Quantitative Biology (q-bio) #Value (mathematics) #math.OC #msc:37G10 #msc:93C40 #msc:93D15 #q-bio #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.math/0208167
published in arXiv (Cornell University) (Cornell University) · Related materials and updates posted to: http://www.math.rutgers.edu/~sontag/
arxiv created 2002/08/22 · openalex publication_date 2002/08/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.