Statistical learning methods in linear algebra and control problems: The example of finite-time control of uncertain linear systems
type: Item
instance of: scholarly article
title: Statistical learning methods in linear algebra and control problems: The example of finite-time control of uncertain linear systems
zbMATH Open document ID: 1007.93064
DOI: 10.1016/S0024-3795(01)00599-7
published in: Linear Algebra and its Applications
publication date: 2002-08-28T00:00:00Z
review text: In state and output feedback, finite-time robust stabilization for linear control systems subject to time-varying norm-bounded uncertainties and to unknown disturbances can be described by using linear matrix inequalities (LMI), a bilinear matrix inequality (BMI), respectively. Approximative solutions for the BMI problem are obtained by empirical risk minimization, where limits on the required number of samples are given.
reviewed by: Kurt Marti
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1790273
zbMATH Keywords: robust stabilization
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: empirical risk minimization
author: Chaouki Abdallah
author: F. Amato
author: M. Ariola
author: Peter Dorato
author: Vladimir Koltchinskii
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1790273