Minimal Actuator Selection for Linear Time Invariant Systems
The work characterizes selecting a minimal set of actuators for system controllability as an integer linear program (ILP). Under specific conditions, this ILP is equivalent to a set multicover problem. The study also extends this to handle faulty actuators, showing how robust selection can be formulated by modifying the ILP parameters using full spark frame constructions. This links control theory resource allocation to combinatorial optimization.