3 Scopus citations


In this paper, we investigate the fundamental limits on how the inter-spike time of a neuron oscillator can be perturbed by the application of an external control input (a current stimulus) with zero net electric charge accumulation. We derive the minimum and maximum inter-spike time assignment controls for phase models using the maximum principle, and fully characterize the possible range of neuronal spiking times with respect to a given bound on the control amplitude. We apply the derived optimal controls to both mathematically ideal and experimentally observed phase models of spiking neurons to demonstrate their applicability to neuroscience.

Original languageEnglish
Article number6425878
Pages (from-to)1651-1656
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 2012
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012


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