Elimination of fixed modes in decentralized systems by means of sampling
type: Item
instance of: scholarly article
title: Elimination of fixed modes in decentralized systems by means of sampling
zbMATH Open document ID: 0635.93053
DOI: 10.1016/0167-6911(88)90032-1
author: Jacques L. Willems
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: It is proved that the fixed modes in a continuous-time decentralized control system can be eliminated by the use of sampling. The main result is that if the non-zero fixed mode m of a strongly connected system is a cyclic eigenvalue of the system matrix, then the corresponding mode exp(mT) is not a fixed mode of the discrete system for almost all sampling times T.
reviewed by: David C. Wilson
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 4035689
zbMATH Keywords: fixed modes
zbMATH Keywords: continuous-time decentralized control system
zbMATH Keywords: sampling
zbMATH Keywords: cyclic eigenvalue
zbMATH Keywords: continuous-time
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90032-1
OpenAlex ID: W2018040765
cites work: On feedback stabilizability of decentralized dynamic systems
cites work: Q4117687
cites work: Time-varying feedback laws for decentralized control
cites work: Stabilization of decentralized control systems via time-varying controllers
cites work: Algebraic characterization of fixed modes in decentralized control
cites work: Decentralized control of linear multivariable systems
description: scientific article; zbMATH DE number 4035689