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arXiv · 2403.19017

Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems

Xudong Chen
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Abstract

We consider discrete ensembles of linear, scalar control systems with single-inputs. Assuming that all the individual systems are unstable, we investigate whether there exist linear feedback control laws that can asymptotically stabilize the ensemble system. We provide necessary/sufficient conditions for feasibility of pole placement in the left half plane and for feedback stabilizability of the ensemble systems.

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Xudong Chen. 2024-03-27. Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems. https://arxiv.org/abs/2403.19017

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