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

Research output: Contribution to journalArticlepeer-review

57 Citations (Scopus)
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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 languageEnglish
Article number198301
Pages (from-to)1-6
Number of pages6
JournalPhysical Review Letters
Issue number19
Early online date7 Nov 2017
Publication statusPublished - 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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