Feedback control of waiting times

Brandes, Tobias; Emary, Clive

Abstract

Feedback loops are known as a versatile tool for controlling transport in small systems, which usually have large intrinsic fluctuations. Here we investigate the control of a temporal correlation function, the waiting-time distribution, under active and passive feedback conditions. We develop a general formalism and then specify to the simple unidirectional transport model, where we compare costs of open-loop and feedback control and use methods from optimal control theory to optimize waiting-time distributions.

Citation

Brandes, T., & Emary, C. (2016). Feedback control of waiting times. Physical Review E, 93(4), https://doi.org/10.1103/PhysRevE.93.042103

• Journal Article Type: Article
• Acceptance Date: Mar 21, 2016
• Online Publication Date: Apr 5, 2016
• Publication Date: Apr 5, 2016
• Deposit Date: Jun 28, 2018
• Publicly Available Date: Jul 12, 2018
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 2470-0053
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 93
• Issue: 4
• DOI: https://doi.org/10.1103/PhysRevE.93.042103
• Public URL: https://hull-repository.worktribe.com/output/898379
• Publisher URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.042103