The reachability and observability of hybrid multirate sampling linear systems
type: Item
instance of: scholarly article
title: The reachability and observability of hybrid multirate sampling linear systems
zbMATH Open document ID: 0854.93084
DOI: 10.1016/0898-1221(95)00185-2
publication date: 1997-01-22T00:00:00Z
review text: This paper deals with the investigation of the properties of reachability and observability of a class of hybrid multirate sampling systems where the inputs, outputs, and states are sampled at different rates. The reachability properties of multirate sampling hybrid linear systems are investigated in terms of formulating necessary and sufficient conditions for such properties to hold. The paper is organized as follows. Section 2 gives some results about sufficient and, necessary and sufficient, conditions for reachability in discrete hybrid systems which are then used to derive extensions to the multirate case which is treated in Section 3. Two typical cases are considered, namely, the case when the state-output is sampled faster than the input, and when the input is sampled faster. The formulation of the observability problem in hybrid multirate systems is briefly described in Section 4 by giving extensions from the previous reachability results. Some empirical discussions about pole-placement and other issues of interest of multirate sampling of hybrid systems are given.
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 878514
zbMATH Keywords: reachability
zbMATH Keywords: observability
zbMATH Keywords: hybrid multirate sampling systems
zbMATH Keywords: pole-placement
Wikidata QID: Q57675855
author: M. De la Sen
reviewed by: Paul Cotae
MaRDI profile type: Publication
full work available at URL: 0898-1221(95)00185-2
OpenAlex ID: W2128504649
cites work: Conic sectors for sampled-data feedback systems
cites work: Stability theory for linear time-invariant plants with periodic digital controllers
cites work: H/sub 2/-optimal sampled-data control
cites work: Worst-case analysis and design of sampled-data control systems
cites work: A method for improving the adaptation transient using adaptive sampling
cites work: Multirate hybrid adaptive control
cites work: Fast projection methods for minimal design problems in linear system theory
cites work: Q3309525
cites work: Q5661059
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 878514