Controllability of singular systems with control delay.
type: Item
instance of: scholarly article
title: Controllability of singular systems with control delay.
zbMATH Open document ID: 1058.93012
DOI: 10.1016/S0005-1098(01)00135-2
author: Jiang Wei
author: Wenzhong Song
published in: Automatica
publication date: 2001-01-01T00:00:00Z
review text: Linear finite-dimensional, continuous-time singular control systems with constant coefficients are considered. It is generally assumed that the controls are unconstrained and delayed. Using algebraic methods and the theory of singular linear differential equations, several necessary and sufficient conditions for controllability are formulated and proved. In the proofs of the main results a well-known canonical decomposition of singular control systems is extensively used. Moreover, these controllability conditions require verification of the rank of controllability matrices and have an algebraic nature. The paper contains also several remarks and comments on controllability problems for linear singular control systems and relations to controllability results in the literature. Finally, it should be mentioned that the results given in the paper are generalizations, for delayed singular control systems, of controllability conditions given in the monograph [\textit{J. Klamka}, Controllability of dyamical systems, Kluwer, Dordrecht (1991; Zbl 0732.93008)] for regular delayed control systems.
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 93C23
zbMATH DE Number: 1679977
zbMATH Keywords: singular control systems
zbMATH Keywords: controllability
zbMATH Keywords: canonical decomposition
MaRDI profile type: Publication
cites work: Applications of algebraic geometry to systems theory--Part I
cites work: Q4869017
cites work: A generalized state-space for singular systems
cites work: Q4514341
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cites work: Solvability, controllability, and observability of continuous descriptor systems
full work available at URL: s0005-1098(01)00135-2
OpenAlex ID: W1990305784
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description: scientific article; zbMATH DE number 1679977