Output feedback stabilization of linear time-varying uncertain delay systems
type: Item
instance of: scholarly article
title: Output feedback stabilization of linear time-varying uncertain delay systems
zbMATH Open document ID: 1179.93147
DOI: 10.1155/2009/457468
author: Tomoaki Hashimoto
author: Takashi Amemiya
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45845
review text: Summary: This paper investigates the output feedback stabilization problem of linear time-varying uncertain delay systems with limited measurable state variables. Each uncertain parameter and each delay under consideration may take arbitrarily large values. In such a situation, the locations of uncertain entries in the system matrices play an important role. It has been shown that if a system has a particular configuration called a triangular configuration, then the system is stabilizable irrespective of the given bounds of uncertain variations. In the results so far obtained, the stabilization problem has been reduced to finding the proper variable transformation such that an \(M\)-matrix stability criterion is satisfied. However, it still has not been shown whether the constructed variable transformation enables the system to satisfy the \(M\)-matrix stability condition. The objective of this paper is to show a method that enables verification of whether the transformed system satisfies the \(M\)-matrix stability condition.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C41
zbMATH DE Number: 5632487
zbMATH Keywords: output feedback stabilization
zbMATH Keywords: linear time-varying uncertain delay systems
zbMATH Keywords: \(M\)-matrix stability criterion
Wikidata QID: Q58649000
MaRDI profile type: Publication
OpenAlex ID: W2114240246
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description: scientific article; zbMATH DE number 5632487