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The thresholds of an excitable system

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If you have a question about this talk, please contact Fulvio Forni .

An excitable behavior is best characterized by its threshold. But what is the threshold of an excitable behavior ? This talk will briefly review the history of this longstanding question in order to highlight the difficulty of defining a mathematical concept of threshold for a closed dynamical system. This limitation motivates a novel definition of threshold for open physical systems within the classical framework of dissipativity theory. The proposed definition is tested on the paradigmatic model of Hodgkin and Huxley. It is shown to motivate a number of novel research questions in control theory. In particular, we discuss the generalization of dissipative theory from RC circuits to circuits that contain memristive elements and constant voltage sources. Such neuromorphic circuits lead to an attractive generalization of the LQR problem.

The seminar will be held in the JDB Seminar Room , Department of Engineering, and online (zoom): https://newnham.zoom.us/j/92544958528?pwd=YS9PcGRnbXBOcStBdStNb3E0SHN1UT09

This talk is part of the CUED Control Group Seminars series.

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