Coupled and constrained Sylvester equations in system design
type: Item
instance of: scholarly article
title: Coupled and constrained Sylvester equations in system design
zbMATH Open document ID: 0864.93050
DOI: 10.1007/BF02523122
author: Vassilis L. Syrmos
author: Frank L. Lewis
published in: Circuits, Systems, and Signal Processing
publication date: 1995-05-04T00:00:00Z
review text: This is a review paper describing the use of the Sylvester equation in several synthesis problems. The Sylvester equation is the equation \(AV-VJ=K\), in the unknown matrix \(V\). The solutions to several control problems do depend on finding the solution of a suitable Sylvester equation which satisfies additional constraints. In sect. 2 the authors review some problems which are solvable in terms of the Sylvester equation: the synthesis of reduced order observers and compensators (also in the presence of disturbances); the computation of output feedbacks and the assignability of transmission zeros. In sect. 3 the authors examine the solvability of the problems presented in sect. 2. The paper has a rich bibliography.
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 751334
zbMATH Keywords: linear systems
zbMATH Keywords: Sylvester equation
zbMATH Keywords: synthesis problems
zbMATH Keywords: output feedbacks
zbMATH Keywords: assignability of transmission zeros
reviewed by: Luciano Pandolfi
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02523122
OpenAlex ID: W2091756979
description: scientific article; zbMATH DE number 751334