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On (Non)Supermodularity of Average Control Energy

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arxiv 1609.08706 v4 pith:WVQ6IN3E submitted 2016-09-27 math.OC cs.SYeess.SY

On (Non)Supermodularity of Average Control Energy

classification math.OC cs.SYeess.SY
keywords energyfunctionactuatedaverageclaimsconsidercontrolcorrecting
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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.

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