Reachability, observability, and minimality for shift-invariant two-point boundary-value descriptor systems
type: Item
instance of: scholarly article
title: Reachability, observability, and minimality for shift-invariant two-point boundary-value descriptor systems
zbMATH Open document ID: 0696.93006
DOI: 10.1007/BF01598418
author: Ramine Nikoukhah
author: Alan S. Willsky
author: Bernard C. Levy
published in: Circuits, Systems, and Signal Processing
publication date: 1989-01-01T00:00:00Z
review text: In their nice paper the authors develop some of the system-theoretic properties of singular linear discrete-time two-point boundary value systems. They introduce two notions of shift-invariant systems, namely, displacement systems, for which the Green function is shift-invariant, and stationary systems, for which the input-output map is stationary. For such classes of systems the problem of reachability and observability is studied in detail. In particular, the authors give an effective criterion for weak reachability. In conclusion, the authors investigate the problem of minimality and extendibility. They underline that there is a certain degree of nonuniqueness in minimal realizations - both in the state space isomorphism and, more importantly, in the boundary and system matrices.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 34A99
zbMATH DE Number: 4141875
zbMATH Keywords: two-point boundary value systems
zbMATH Keywords: shift-invariant systems
zbMATH Keywords: displacement systems
zbMATH Keywords: weak reachability
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01598418
OpenAlex ID: W2009039332
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description: scientific article; zbMATH DE number 4141875