Digraph characterization of structural controllability for linear descriptor systems
type: Item
instance of: scholarly article
title: Digraph characterization of structural controllability for linear descriptor systems
zbMATH Open document ID: 0892.93013
DOI: 10.1016/S0024-3795(97)86521-4
author: Kurt J. Reinschke
author: Gunter Wiedemann
published in: Linear Algebra and its Applications
publication date: 1997-11-04T00:00:00Z
review text: Linear, time-invariant, continuous-time descriptor control systems are considered. Using graph-theoretical methods different kinds of controllability are analyzed. Based on the concept of structural matrix, necessary and sufficient conditions for structural controllability are formulated and proved. Next, structural impulse controllability and structural \(r\)-controllability are investigated, and criteria for them are derived. Moreover, these results are compared with the structural controllability results which are known in the literature. Finally, a nontrivial numerical example (taken from electrical engineering) illustrates the application of the theoretical results. It should be pointed out that controllability of descriptor control systems has been considered in the paper [\textit{D. Cobb}, IEEE Trans. Autom. Control AC-29, 1076-1082 (1984)].
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 05C90
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1083218
zbMATH Keywords: descriptor control systems
zbMATH Keywords: structural impulse controllability
zbMATH Keywords: structural \(r\)-controllability
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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full work available at URL: s0024-3795(97)86521-4
OpenAlex ID: W1977982360
description: scientific article; zbMATH DE number 1083218