Title :
The transcritical bifurcation in absolutely stable feedback systems
Author :
Muller, Matthias A. ; Waldherr, Steffen ; Allgower, Frank
Author_Institution :
Inst. of Syst. Theor. & Autom. Control, Univ. Stuttgart, Stuttgart, Germany
Abstract :
The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems. We apply the results to a simple gene regulation system to compute an activation threshold in the feedback regulation strength.
Keywords :
bifurcation; biology; feedback; nonlinear systems; stability; absolutely stable feedback systems; activation threshold; biological systems; feedback regulation strength; gene regulation system; nonlinear static feedback; nonnegative passive system; positive feedback systems; transcritical bifurcation; Bifurcation; Decision support systems; Europe;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
