Real-world networks often consist of millions of heterogenous elements that interact at
multiple timescales and length scales. The fields of statistical physics and control theory both …

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 …

Many systems on our planet shift abruptly and irreversibly from the desired state to an
undesired state when forced across a “tipping point”. Some examples are mass extinctions …

Controlling large natural and technological networks is an outstanding challenge. It is
typically neither feasible nor necessary to control the entire network, prompting us to explore …

Studying the control properties of complex networks provides insight into how designers and
engineers can influence these systems to achieve a desired behavior. Topology of a …

Given a linear system, we consider the problem of finding a small set of variables to affect
with an input so that the resulting system is controllable. We show that this problem is NP …

The protein–protein interaction (PPI) network is crucial for cellular information processing
and decision-making. With suitable inputs, PPI networks drive the cells to diverse functional …

Recent studies have made important advances in identifying sensor or driver nodes, through
which we can observe or control a complex system. But the observational uncertainty …

Complex networks have, in recent years, brought many innovative impacts to large-scale
systems. However, great challenges also come forth due to distinct complex situations and …

The last decade has seen an explosion of research in network controllability. The present
article reviews some basic concepts, significant progress, important results and recent …