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 |
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| container_title | IEEE transactions on control of network systems |
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| creator | Olshevsky, Alex |
| description | 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. |
| doi_str_mv | 10.1109/TCNS.2017.2691463 |
| format | Article |
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| ispartof | IEEE transactions on control of network systems, 2018-09, Vol.5 (3), p.1177-1181 |
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| language | eng |
| recordid | cdi_crossref_primary_10_1109_TCNS_2017_2691463 |
| source | IEEE Electronic Library (IEL) |
| subjects | 5G mobile communication Actuators Controllability Linear matrix inequalities Linear systems Mathematical analysis optimization methods |
| title | On (Non)Supermodularity of Average Control Energy |
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