On (Non)Supermodularity of Average Control Energy
- Resource Type
- Periodical
- Authors
- Olshevsky, A.
- Source
- IEEE Transactions on Control of Network Systems IEEE Trans. Control Netw. Syst. Control of Network Systems, IEEE Transactions on. 5(3):1177-1181 Sep, 2018
- Subject
- Communication, Networking and Broadcast Technologies
Robotics and Control Systems
Signal Processing and Analysis
Components, Circuits, Devices and Systems
Computing and Processing
Actuators
Linear systems
Controllability
Linear matrix inequalities
5G mobile communication
optimization methods
- Language
- ISSN
- 2325-5870
2372-2533
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 prove that this function is not necessarily supermodular, correcting some claims in the existing literature.