Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5010652 | Systems & Control Letters | 2016 | 8 Pages |
Abstract
In this paper we introduce a new perspective on the L2-ensemble controllability problem of linear time-invariant systems using an â2-framework. The reformulation results from focussing on the controllability of the ensemble's moments, which evolve under a linear system defined on the space of square-summable sequences. For a specific class of ensembles, a necessary and sufficient condition can be stated in terms of truncations of infinite Kalman matrices. We illustrate the analysis in this framework on several examples which highlight the possibility of using elementary structural arguments in proving or disproving the controllability of an ensemble's moments, as well as essential differences to the uniform ensemble controllability property which is mostly considered in the literature.
Related Topics
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Control and Systems Engineering
Authors
Shen Zeng, Frank Allgöwer,