Modeling and stability analysis of limit cycles in an integrate-and-fire circuit

摘要

We present rigorous results concerning the stability of limit cycles in an integrate-and-fire circuit. The specific system is modeled in a hybrid systems framework. We analyze basic properties of the limit cycles in the integrate-and-fire circuit system and under some mild assumptions, we show the equivalent characterizations of stability of the limit cycles. The integrate-and-fire circuit is finally revisited to illustrate the notions and results of the paper.