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

40 Citations (Scopus)
11 Downloads (Pure)


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


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