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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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WRAP-finite-region-boundedness-stabilization-continuous-discrete-Roesser-model-Yu-2019.pdf - Accepted Version - Requires a PDF viewer. Download (1569Kb) | Preview |
Official URL: http://dx.doi.org/10.1093/imamci/dny017
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 | |||||||||
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| 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: |
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| 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: |
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