Constrained minimum-power control of spiking neuron oscillators

Isuru Dasanayake; Jr Shin Li

doi:10.1109/CDC.2011.6160963

Constrained minimum-power control of spiking neuron oscillators

Isuru Dasanayake, Jr Shin Li

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

9 Scopus citations

Abstract

In this article, we study optimal control problems of spiking neurons whose dynamics are described by a phase model. We design minimum-power current stimuli (controls) that lead to desired spiking times. In particular, we consider bounded control amplitude and characterize the range of possible spiking times according to the bound. The design of such bounded optimal controls is of fundamental importance as phase models are accurate under weak forcing. We show that for a given bound, the corresponding feasible spiking times are optimally achieved by switching controls. We present analytical expressions with numerical simulations of these minimum-power stimuli for various phase models of neurons.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3694-3699
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6160963
State	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: Dec 12 2011 → Dec 15 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 12/15/11

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10.1109/CDC.2011.6160963

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Dasanayake, I., & Li, J. S. (2011). Constrained minimum-power control of spiking neuron oscillators. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 3694-3699). Article 6160963 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6160963

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title = "Constrained minimum-power control of spiking neuron oscillators",

abstract = "In this article, we study optimal control problems of spiking neurons whose dynamics are described by a phase model. We design minimum-power current stimuli (controls) that lead to desired spiking times. In particular, we consider bounded control amplitude and characterize the range of possible spiking times according to the bound. The design of such bounded optimal controls is of fundamental importance as phase models are accurate under weak forcing. We show that for a given bound, the corresponding feasible spiking times are optimally achieved by switching controls. We present analytical expressions with numerical simulations of these minimum-power stimuli for various phase models of neurons.",

author = "Isuru Dasanayake and Li, {Jr Shin}",

year = "2011",

doi = "10.1109/CDC.2011.6160963",

language = "English",

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series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Dasanayake, I & Li, JS 2011, Constrained minimum-power control of spiking neuron oscillators. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160963, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 3694-3699, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6160963

Constrained minimum-power control of spiking neuron oscillators. / Dasanayake, Isuru; Li, Jr Shin.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 3694-3699 6160963 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In this article, we study optimal control problems of spiking neurons whose dynamics are described by a phase model. We design minimum-power current stimuli (controls) that lead to desired spiking times. In particular, we consider bounded control amplitude and characterize the range of possible spiking times according to the bound. The design of such bounded optimal controls is of fundamental importance as phase models are accurate under weak forcing. We show that for a given bound, the corresponding feasible spiking times are optimally achieved by switching controls. We present analytical expressions with numerical simulations of these minimum-power stimuli for various phase models of neurons.

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Y2 - 12 December 2011 through 15 December 2011

ER -

Constrained minimum-power control of spiking neuron oscillators

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