Abstract

Controlling complex nonlinear networks is largely an unsolved problem at the present. Existing works focus 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 the 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 stem cell differentiation, 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 (US)
Article number198301
JournalPhysical Review Letters
Volume119
Issue number19
DOIs
StatePublished - Nov 7 2017

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controllers
spiking
energy
stem cells
ecosystems
energy consumption
food
topology

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Closed-Loop Control of Complex Networks : A Trade-Off between Time and Energy. / Sun, Yong Zheng; Leng, Si Yang; Lai, Ying-Cheng; Grebogi, Celso; Lin, Wei.

In: Physical Review Letters, Vol. 119, No. 19, 198301, 07.11.2017.

Research output: Contribution to journalArticle

Sun, Yong Zheng ; Leng, Si Yang ; Lai, Ying-Cheng ; Grebogi, Celso ; Lin, Wei. / Closed-Loop Control of Complex Networks : A Trade-Off between Time and Energy. In: Physical Review Letters. 2017 ; Vol. 119, No. 19.
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