Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems

Fuente: arXiv
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1. Verfasser: Chen, Xudong
Format: Preprint
Veröffentlicht: 2024
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_version_ 1866916340269318144
author Chen, Xudong
author_facet Chen, Xudong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_19017
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems
Chen, Xudong
Optimization and Control
Dynamical Systems
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.
title Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems
topic Optimization and Control
Dynamical Systems
url https://arxiv.org/abs/2403.19017