On (Non)Supermodularity of Average Control Energy

On (Non)Supermodularity of Average Control Energy

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.

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Veröffentlicht in:IEEE transactions on control of network systems 2018-09, Vol.5 (3), p.1177-1181
1. Verfasser: Olshevsky, Alex
Format: Artikel
Sprache:eng
Schlagworte:
5G mobile communication
Actuators
Controllability
Linear matrix inequalities
Linear systems
Mathematical analysis
optimization methods
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Beschreibung
Zusammenfassung: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.
ISSN:2325-5870
2325-5870
2372-2533
DOI:10.1109/TCNS.2017.2691463