New algorithm makes it easier to control sprawling networks with limited inputs
Researchers have developed an efficient method to control large networked systems—like power grids or supply chains—using only positive control signals. The advance minimizes the number of control points needed, potentially reducing costs and complexity for infrastructure operators managing complex interconnected systems.
Originaltitel: Positive Controllability of Large-Scale Networks
<p>In this paper, we study the problem of controlling large scale networks with controls which can assume only positive values. Given an adjacency matrix A, an algorithm is developed that constructs an input matrix B with a minimal number of columns such that the resulting system (A, B) is positively controllable. The algorithm combines the graphical methods used for structural controllability analysis with the theory of positive linear dependence. The number of control inputs guaranteeing positive controllability is near optimal.</p>