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Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model

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Hua, Dingli, Wang, Weiqun, Yu, Weiren and Wang, Yixiang (2019) Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model. IMA Journal of Mathematical Control and Information, 36 (3). pp. 1033-1057. doi:10.1093/imamci/dny017

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Official URL: http://dx.doi.org/10.1093/imamci/dny017

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Abstract

This paper investigates the finite-region boundedness (FRB) and stabilization problems for two-dimensional continuous-discrete linear Roesser models subject to two kinds of disturbances. For two-dimensional continuous-discrete system, we first put forward the concepts of finite-region stability and FRB. Then, by establishing special recursive formulas, sufficient conditions of FRB for two-dimensional continuous-discrete systems with two kinds of disturbances are formulated. Furthermore, we analyze the finite-region stabilization issues for the corresponding two-dimensional continuous-discrete systems and give generic sufficient conditions and sufficient conditions that can be verified by linear matrix inequalities for designing the state feedback controllers which ensure the closed-loop systems FRB. Finally, viable experimental results are demonstrated by illustrative examples.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Computer Science
Library of Congress Subject Headings (LCSH): Signal processing -- Digital techniques -- Mathematics, Digital filters (Mathematics), Discrete-time systems, Stochastic difference equations, Stability
Journal or Publication Title: IMA Journal of Mathematical Control and Information
Publisher: Oxford University Press
ISSN: 0265-0754
Official Date: September 2019
Dates:
DateEvent
September 2019Published
18 April 2018Accepted
Date of first compliant deposit: 4 February 2020
Volume: 36
Number: 3
Page Range: pp. 1033-1057
DOI: 10.1093/imamci/dny017
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: This is a pre-copyedited, author-produced version of an article accepted for publication in IMA Journal of Mathematical Control and Information following peer review. The version of record Dingli Hua, Weiqun Wang, Weiren Yu, Yixiang Wang, Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model, IMA Journal of Mathematical Control and Information, Volume 36, Issue 3, September 2019, Pages 1033–1057, is available online at: http://dx.doi.org/10.1093/imamci/dny017
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
61573007[NSFC] National Natural Science Foundation of Chinahttp://dx.doi.org/10.13039/501100001809
61603188[NSFC] National Natural Science Foundation of Chinahttp://dx.doi.org/10.13039/501100001809

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