Controlling complex networks: How much energy is needed?

By Gang Yan, J. Ren, Ying-Cheng Lai, C. Lai, Baowen Li. Physical Review Letters, 2012

404 citations recorded by the source corpus.

The outstanding problem of controlling complex networks is relevant to many areas of science and engineering, and has the potential to generate technological breakthroughs as well. We address the physically important issue of the energy required for achieving control by deriving and validating scaling laws for the lower and upper energy bounds. These bounds represent a reasonable estimate of the energy cost associated with control, and provide a step forward from the current research on controllability toward ultimate control of complex networked dynamical systems.

Subfields: Molecular Biology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b2f404f24f2e8437895e959160ef20f521ef1fbd

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In Statistical and Nonlinear Physics

Citations in the corpus

On Submodularity and Controllability in Complex Dynamical Networks (2014, neutral): “The use of Gramians as quantitative metrics of controllability in networks is studied in [37], [46], [4], [42], [34].”
Exact controllability of complex networks (2013, background): “[39] Yan, G.”
The fundamental advantages of temporal networks (2016, background): “The result for M = 1 is same as that given in [40].”
Synchronization in complex networks and its application - A survey of recent advances and challenges (2014, background): “Therefore, how to exactly characterize basin stability by using tools from the nonlinear system theory (Khalil, 2002) poses a challenging and important topic.”
Control Principles of Complex Networks (2015, methodology): “Recently, however, questions pertaining to the control of complex networks became an important research topic in statistical physics (Cornelius et al., 2013; Liu et al., 2011a; Nepusz and Vicsek, 2012; Ruths and Ruths, 2014; Sun and Motter, 2013; Yan et al., 2012).”
Minimal Controllability Problems (2013, neutral): “(See [25], [32]–[34], and [37] for work on this problem.”