The sensitivity function of excitable feedback systems
Por:
Franci, Alessio, Drion, Guillaume, Sepulchre, Rodolphe
Publicada:
1 ene 2019
Resumen:
The sensitivity function S(s) = 1/(1 + L(s)) is a central concept of feedback theory, defined from the loop gain (or return ratio) L(s). Ever since the pioneering work of Hodgkin and Huxley, excitable neurons have been experimentally characterized by a voltage dependent loop gain L(s;V). We propose that the loop gain L(s;V ) of excitable models have an organizing center, that is, a distinguished point in the parameter and voltage spaces that organizes the sensitivity of the feedback system into a discrete set of qualitatively distinct behaviors. The concept is directly borrowed from singularity theory. It suggests an appealing meeting point between LTI control theory and dynamical systems theory for the analysis of nonlinear feedback systems. © 2019 IEEE.
Filiaciones:
Franci, Alessio:
National Autonomous University of Mexico, Alessio Franci Is with the Department of Mathematics, Mexico City, 04510 Cd., Mexico
Univ Nacl Autonoma Mexico, Dept Math, Mexico City, DF, Mexico
Drion, Guillaume:
Liege University, Guillaume Drion Is with the Department of Electrical Engineering and Computer Science, Liege, B4000, Belgium
Univ Liege, Dept Elect Engn & Comp Sci, B-4000 Liege, Belgium
Sepulchre, Rodolphe:
University of Cambridge, Rodolphe Sepulchre Is with the Department of Engineering, Cambridge, CB2 1PZ, United Kingdom
Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England
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