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Mathematics > Optimization and Control
Title: Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems
(Submitted on 27 Mar 2024 (v1), last revised 21 Apr 2024 (this version, v2))
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.
Submission history
From: Xudong Chen [view email][v1] Wed, 27 Mar 2024 21:19:38 GMT (24kb)
[v2] Sun, 21 Apr 2024 16:13:30 GMT (25kb)
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