On the control of linear systems having internal variations.
type: Item
instance of: scholarly article
title: On the control of linear systems having internal variations.
zbMATH Open document ID: 1065.93009
DOI: 10.1016/S0005-1098(03)00222-X
author: Moisés Bonilla Estrada
author: M. Malabre
published in: Automatica
publication date: 2004-01-26T00:00:00Z
review text: The authors study the control of a collection of implicit systems. The implicit systems are given by \(E \dot{x} = A x + B u, y = Cx\), and \(0=D_i x\), \(i =1,\ldots,n\). The central problem is whether there exists a feedback \(u = F_p x + F_d \dot{x}\) such that the same external closed-loop behavior is assigned to all \(n\) systems. For a single system the problem has been solved by \textit{M. Bonilla}, \textit{G. Lebret} and \textit{M. Malabre} [Circuits Syst. Signal Process. 13, No. 2--3, 349--359 (1994; Zbl 0806.93009)]. The authors find the common internal structure which enables them to solve the above problem. Like in Bonilla et al.\ the problem is solved via the geometric approach.
Mathematics Subject Classification ID: 93B27
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 2032788
zbMATH Keywords: implicit systems
zbMATH Keywords: geometric control
zbMATH Keywords: variable structure systems
zbMATH Keywords: structural properties
zbMATH Keywords: derivative feedback
zbMATH Keywords: multiple systems
reviewed by: Hans Zwart
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2032788