TY - JOUR
T1 - Control principles of complex systems
AU - Liu, Yang Yu
AU - Barabási, Albert László
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/9/6
Y1 - 2016/9/6
N2 - A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: it requires an accurate map of the network that governs the interactions between the system's components, a quantitative description of the dynamical laws that govern the temporal behavior of each component, and an ability to influence the state and temporal behavior of a selected subset of the components. With deep roots in dynamical systems and control theory, notions of control and controllability have taken a new life recently in the study of complex networks, inspiring several fundamental questions: What are the control principles of complex systems? How do networks organize themselves to balance control with functionality? To address these questions here recent advances on the controllability and the control of complex networks are reviewed, exploring the intricate interplay between the network topology and dynamical laws. The pertinent mathematical results are matched with empirical findings and applications. Uncovering the control principles of complex systems can help us explore and ultimately understand the fundamental laws that govern their behavior.
AB - A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: it requires an accurate map of the network that governs the interactions between the system's components, a quantitative description of the dynamical laws that govern the temporal behavior of each component, and an ability to influence the state and temporal behavior of a selected subset of the components. With deep roots in dynamical systems and control theory, notions of control and controllability have taken a new life recently in the study of complex networks, inspiring several fundamental questions: What are the control principles of complex systems? How do networks organize themselves to balance control with functionality? To address these questions here recent advances on the controllability and the control of complex networks are reviewed, exploring the intricate interplay between the network topology and dynamical laws. The pertinent mathematical results are matched with empirical findings and applications. Uncovering the control principles of complex systems can help us explore and ultimately understand the fundamental laws that govern their behavior.
UR - http://www.scopus.com/inward/record.url?scp=84994682677&partnerID=8YFLogxK
U2 - 10.1103/RevModPhys.88.035006
DO - 10.1103/RevModPhys.88.035006
M3 - Article
AN - SCOPUS:84994682677
SN - 0034-6861
VL - 88
JO - Reviews of Modern Physics
JF - Reviews of Modern Physics
IS - 3
M1 - 035006
ER -