On (Non)Supermodularity of Average Control Energy
arXiv:1609.0870639 citationsh-index: 36
Originality Synthesis-oriented
AI Analysis
Corrects a theoretical claim in control theory for researchers studying actuator placement.
The paper corrects prior claims about supermodularity of average control energy in linear systems, proving the function is not necessarily supermodular.
Given a linear system, we consider the expected energy to move from the origin to a uniformly random point on the unit sphere as a function of the set of actuated variables. We show this function is not necessarily supermodular, correcting some claims in the existing literature.