Firing pattern estimation of biological neuron models by adaptive observer

Abstract

In this paper, we present three adaptive observers with the membrane potential measurement under the assumption that some of parameters in HR neuron are known. Using the Strictly Positive Realness and Yu's stability criterion, we can show the asymptotic stability of the error systems. The estimators allow us to recover the internal states and to distinguish the firing patterns with early-time dynamic behaviors. © 2008 Springer-Verlag Berlin Heidelberg.