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Feedback tuning of bifurcations
Authors:Luc Moreau  Eduardo Sontag  Murat Arcak  
Affiliation:a EESA SYSTeMS, Ghent University, Technologiepark 914, 9052 Zwijnaarde, Belgium;b Department of Mathematics, Rutgers, The State University of New Jersey, Piscataway, NJ 08854, USA;c Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, USA
Abstract:The present paper studies a feedback regulation problem that arises in at least two different biological applications. The feedback regulation problem under consideration may be interpreted as an adaptive control problem for tuning bifurcation parameters, and it has not been studied in the control literature. The goal of the paper is to formulate this problem and to present some preliminary results.
Keywords:Bifurcation  Stabilization  Nonlinear systems
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