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

62 Scopus citations


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
Issue number19
StatePublished - Nov 7 2017

ASJC Scopus subject areas

  • General Physics and Astronomy


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