TY - JOUR
T1 - Structure-based control of complex networks with nonlinear dynamics
AU - Zañudo, Jorge Gomez Tejeda
AU - Yang, Gang
AU - Albert, Réka
AU - Levine, Herbert
N1 - Funding Information:
We thank A. Mochizuki, Y.-C. Lai, and M. T. Angulo for helpful discussions, and Y. Y. Liu for his assistance and for providing us some of the networks in this study. We also thank the Mathematical Biosciences Institute (MBI) for the workshop "Control and Observability of Network Dynamics," which greatly enriched this paper. This work was supported by National Science Foundation Grants PHY 1205840, 1545832, and IIS 1160995. J.G.T.Z. is a recipient of an SU2C-V Foundation Convergence Scholar Award.
PY - 2017/7/11
Y1 - 2017/7/11
N2 - What can we learn about controlling a system solely from its underlying network structure? Here we adapt a recently developed framework for control of networks governed by a broad class of nonlinear dynamics that includes the major dynamic models of biological, technological, and social processes. This feedback-based framework provides realizable node overrides that steer a system toward any of its natural long-term dynamic behaviors, regardless of the specific functional forms and system parameters. We use this framework on several real networks, identify the topological characteristics that underlie the predicted node overrides, and compare its predictions to those of structural controllability in control theory. Finally, we demonstrate this framework's applicability in dynamic models of gene regulatory networks and identify nodes whose override is necessary for control in the general case but not in specific model instances.
AB - What can we learn about controlling a system solely from its underlying network structure? Here we adapt a recently developed framework for control of networks governed by a broad class of nonlinear dynamics that includes the major dynamic models of biological, technological, and social processes. This feedback-based framework provides realizable node overrides that steer a system toward any of its natural long-term dynamic behaviors, regardless of the specific functional forms and system parameters. We use this framework on several real networks, identify the topological characteristics that underlie the predicted node overrides, and compare its predictions to those of structural controllability in control theory. Finally, we demonstrate this framework's applicability in dynamic models of gene regulatory networks and identify nodes whose override is necessary for control in the general case but not in specific model instances.
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U2 - 10.1073/pnas.1617387114
DO - 10.1073/pnas.1617387114
M3 - Article
C2 - 28655847
AN - SCOPUS:85023186936
SN - 0027-8424
VL - 114
SP - 7234
EP - 7239
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 28
ER -