Feedback tuning of bifurcations

DOI10.1016/S0167-6911(03)00157-9zbMath1157.93397arXivmath/0208167OpenAlexW2025347945MaRDI QIDQ2503541

Luc Moreau, Arcak, Murat

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208167

zbMATH Keywords

Nonlinear systemsBifurcationStabilization

Mathematics Subject Classification ID

Feedback control (93B52) Bifurcation theory for ordinary differential equations (34C23) Dynamical systems in control (37N35) General biology and biomathematics (92B05)

Related Items (7)

Adaptive tuning to bifurcation for time-varying nonlinear systems ⋮ Balancing at the edge of excitability: implications for cell movement ⋮ The role of Hopf bifurcation dynamics in sensory processes ⋮ On-line detection of qualitative dynamical changes in nonlinear systems: the resting-oscillation case ⋮ Nonautonomous Dynamical Systems in the Life Sciences ⋮ Adaptive control of bifurcation modes in nonautonomous nonlinear systems ⋮ Adaptive detection of instabilities: An experimental feasibility study

Cites Work

• The autapse: A simple illustration of short-term analog memory storage by tuned synaptic feedback
• Constructive nonlinear control
• Adaptation and regulation with signal detection implies internal model
• Closed-loop monitoring systems for detecting impending instability
• Practical stability and stabilization
• A unified framework for input-to-state stability in systems with two time scales
• A System Theory Criterion for Positive Real Matrices

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