Name
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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/CDC.2011.6160963 | 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) |
Keywords | Field | DocType |
mathematical model,switches,numerical simulation,optimal control,power control,trajectory,oscillators,numerical analysis,oscillations | Oscillation,Optimal control,Expression (mathematics),Computer science,Control theory,Power control,Numerical analysis,Amplitude,Trajectory,Bounded function | Conference |
Volume | ISSN | Citations |
abs/1109.3798 | 0743-1546 | 4 |
PageRank | References | Authors |
0.53 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Isuru Dasanayake | 1 | 20 | 2.18 |
| Shin Li Jr. | 2 | 112 | 19.45 |