Reachability and observability indices of a discrete-time periodic descriptor system
type: Item
instance of: scholarly article
title: Reachability and observability indices of a discrete-time periodic descriptor system
zbMATH Open document ID: 1050.93005
DOI: 10.1016/S0096-3003(03)00649-0
author: C. Coll
author: Màrius J. Fullana
author: E. Sánchez
published in: Applied Mathematics and Computation
publication date: 2004-08-06T00:00:00Z
review text: Linear, finite-dimensional, discrete-time, descriptor control systems with periodic coefficients are considered. First, many concepts of reachability, observability and periodicity are introduced and discussed. Next, using the form of the solution of the difference state equation and purely algebraic methods, reachability and observability indices are analyzed and characterized. The connections between reachability and observability indices and certain linear subspaces in the state space are pointed out. Finally, using coprime decomposition of the nonproper transfer matrices, an algorithm for computing recurrently reachability and observability indices is proposed. Similar problems can be found in the paper [\textit{C. Coll}, \textit{M. J. Fullana} and \textit{E. Sánchez}, Appl. Math. Comput. 127, No. 2--3, 277--287 (2002; Zbl 1039.93039)].
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 2082066
zbMATH Keywords: Reachability and observability properties
zbMATH Keywords: Reachability and observability indices
zbMATH Keywords: Periodic descriptor systems
zbMATH Keywords: Transfer matrix
zbMATH Keywords: Coprime decomposition
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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full work available at URL: s0096-3003(03)00649-0
OpenAlex ID: W2073649350
description: scientific article; zbMATH DE number 2082066