Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/1868
Title: On strong stabilizability of MIMO infinite-dimensional systems
Authors: Ünal, Hakkı Ulaş
İftar, Altuğ
Keywords: Stabilization
Stable controllers
Infinite-dimensional systems
Multi-input multi-output systems
Parity interlacing property
Issue Date: 2020
Publisher: Pergamon-Elsevier Science Ltd
Abstract: The strong stabilization problem, i.e., the problem of designing a real stable stabilizing controller, is considered for multi-input multi-output infinite-dimensional real linear systems. The considered systems may have infinitely many poles and zeros in the open right-half-plane, as well as on the imaginary axis. It is shown that the well-known parity interlacing property (pip) for real-rational systems is also a necessary condition in the most general case as long as the plant has coprime factorizations over H-infinity. which is a necessary condition for stabilizability. Furthermore, it is shown that pip is also sufficient under some additional mild assumptions. (C) 2020 Elsevier Ltd. All rights reserved.
URI: https://doi.org/10.1016/j.automatica.2020.109178
https://hdl.handle.net/20.500.13087/1868
ISSN: 0005-1098
1873-2836
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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