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Achieving precise mechanical control in intrinsically noisy systems
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Lu, Wenlian, Feng, Jianfeng, Amari, Shun’ichi and Waxman, David, Prof. (2013) Achieving precise mechanical control in intrinsically noisy systems. New Journal of Physics, Volume 15 (Number 6). Articel number 063012. doi:10.1088/1367-2630/15/6/063012 ISSN 1367-2630.
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Official URL: http://dx.doi.org/10.1088/1367-2630/15/6/063012
Abstract
How can precise control be realized in intrinsically noisy systems? Here, we develop a general theoretical framework that provides a way of achieving precise control in signal-dependent noisy environments. When the control signal has Poisson or supra-Poisson noise, precise control is not possible. If, however, the control signal has sub-Poisson noise, then precise control is possible. For this case, the precise control solution is not a function, but a rapidly varying random process that must be averaged with respect to a governing probability density functional. Our theoretical approach is applied to the control of straight-trajectory arm movement. Sub-Poisson noise in the control signal is shown to be capable of leading to precise control. Intriguingly, the control signal for this system has a natural counterpart, namely the bursting pulses of neurons-trains of Dirac-delta functions-in biological systems to achieve precise control performance.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
Library of Congress Subject Headings (LCSH): | Neurons -- Physiology , Biological systems | ||||
Journal or Publication Title: | New Journal of Physics | ||||
Publisher: | IOP Publishing | ||||
ISSN: | 1367-2630 | ||||
Official Date: | June 2013 | ||||
Dates: |
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Volume: | Volume 15 | ||||
Number: | Number 6 | ||||
Page Range: | Articel number 063012 | ||||
DOI: | 10.1088/1367-2630/15/6/063012 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 26 December 2015 | ||||
Date of first compliant Open Access: | 26 December 2015 |
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