Sun YZ, Leng SY, Lai YC, Grebogi C, Lin W. Closed-Loop Control of Complex Networks: A Trade-Off between Time and Energy.
PHYSICAL REVIEW LETTERS 2017;
119:198301. [PMID:
29219507 DOI:
10.1103/physrevlett.119.198301]
[Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/27/2017] [Indexed: 05/07/2023]
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.
Collapse