Closed-loop control of complex networks: A trade-off between time and energy

Yong-Zheng Sun; Si-Yang Leng; Ying-Cheng Lai; Celso Grebogi; Wei Lin

doi:10.1103/PhysRevLett.119.198301

Closed-loop control of complex networks: A trade-off between time and energy

Yong-Zheng Sun, Si-Yang Leng, Ying-Cheng Lai, Celso Grebogi, Wei Lin

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Abstract

Controlling complex nonlinear networks is largely an unsolved problem at the present. Existing works focused either on open-loop control strategies and their energy consumptions, or on closed-loop control schemes with an infinite-time duration. We articulate a finite-time, closed-loop controller with an eye toward the physical and mathematical underpinnings of the trade-off between control
time and energy as well as their dependence on the network parameters and structure. The closed-loop controller is tested on a large number of real systems including food webs, random ecosystems, and spiking neuronal networks. Our results represent a step forward in developing a rigorous and general framework to control nonlinear dynamical networks with a complex topology.

Original language	English
Article number	198301
Pages (from-to)	1-6
Number of pages	6
Journal	Physical Review Letters
Volume	119
Issue number	19
Early online date	7 Nov 2017
DOIs	https://doi.org/10.1103/PhysRevLett.119.198301
Publication status	Published - 10 Nov 2017

Bibliographical note

W. L. is supported by the National Science Foundation of China (NSFC) (Grants No. 11322111 and No. 61773125). Y.-Z. S. is supported by the NSFC (Grant No. 61403393). Y.-C. L. acknowledges support from the Vannevar Bush Faculty Fellowship program sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering and funded by the Office of
Naval Research through Grant No. N00014-16-1-2828. Y.-Z. S. and S.-Y. L. contributed equally to this work.

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10.1103/PhysRevLett.119.198301Licence: Unspecified

Closed-Loop Control of Complex Networks: A Trade-Off between Time and Energy
© 2017 American Physical Society
Final published version, 409 KBLicence: Other

Celso Grebogi
- School of Natural & Computing Sciences, Physics - Sixth Century Chair in Nonlinear & Complex Systems
- Institute for Complex Systems and Mathematical Biology (ICSMB)
Person: Academic

Cite this

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title = "Closed-loop control of complex networks: A trade-off between time and energy",

abstract = "Controlling complex nonlinear networks is largely an unsolved problem at the present. Existing works focused either on open-loop control strategies and their energy consumptions, or on closed-loop control schemes with an infinite-time duration. We articulate a finite-time, closed-loop controller with an eye toward the physical and mathematical underpinnings of the trade-off between controltime and energy as well as their dependence on the network parameters and structure. The closed-loop controller is tested on a large number of real systems including food webs, random ecosystems, and spiking neuronal networks. Our results represent a step forward in developing a rigorous and general framework to control nonlinear dynamical networks with a complex topology.",

author = "Yong-Zheng Sun and Si-Yang Leng and Ying-Cheng Lai and Celso Grebogi and Wei Lin",

note = "W. L. is supported by the National Science Foundation of China (NSFC) (Grants No. 11322111 and No. 61773125). Y.-Z. S. is supported by the NSFC (Grant No. 61403393). Y.-C. L. acknowledges support from the Vannevar Bush Faculty Fellowship program sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering and funded by the Office of Naval Research through Grant No. N00014-16-1-2828. Y.-Z. S. and S.-Y. L. contributed equally to this work.",

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AU - Lin, Wei

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AB - Controlling complex nonlinear networks is largely an unsolved problem at the present. Existing works focused either on open-loop control strategies and their energy consumptions, or on closed-loop control schemes with an infinite-time duration. We articulate a finite-time, closed-loop controller with an eye toward the physical and mathematical underpinnings of the trade-off between controltime and energy as well as their dependence on the network parameters and structure. The closed-loop controller is tested on a large number of real systems including food webs, random ecosystems, and spiking neuronal networks. Our results represent a step forward in developing a rigorous and general framework to control nonlinear dynamical networks with a complex topology.

U2 - 10.1103/PhysRevLett.119.198301

DO - 10.1103/PhysRevLett.119.198301

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Closed-loop control of complex networks: A trade-off between time and energy

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Bibliographical note

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Celso Grebogi

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