Despite the recent development of structural controllability theory, we continue to lack a framework to control undirected complex networks, especially given link weights.

Here we develop an alternate ‘k-walk’ theory for directed tree networks, and we rigorously prove that one node can control a set of target nodes if the path length to each target node is unique.

Giora Zeiger, Arthur Akers, The Application of Linear Optimal Control Techniques to Axial Piston Pump Controller Design, SAE Transactions, Vol. 98, Section 2: JOURNAL OF COMMERCIAL VEHICLES (1989), pp ...

The object of this paper is to develop a unifying framework for the functional analytic representation of infinite dimensional linear systems with unbounded input and output operators. On the basis of ...

Implementing the algorithm, though, can get a bit tricky since it touches bits of linear algebra, motor physics, and control theory. But that’s the magic behind SimpleFOC.