Time scale observability and constructibility of linear dynamic equations Article Swipe
Bacem Ben Nasser
,
Mohamed Djemaï
,
Michaël Defoort
,
Taous‐Meriem Laleg‐Kirati
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1080/00207179.2021.1890823
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1080/00207179.2021.1890823
This paper investigates the observability and constructibility problems of time-varying linear dynamic equations using time scale theory. First, we define observability, reachability and constructibility operators on time scales. Some necessary and sufficient conditions are proposed to ensure the observability on non-uniform time domains based on some linear algebra tools. Then, constructibility is also examined using the same approach. Moreover, the link between observability and constructibility concepts on arbitrary time sets is discussed. Further, the observability and reachability duality relationship for time-varying linear systems on time scales is established. The current work unifies and extends some existing results given for standard cases (i.e. the continuous line and the discrete time domain) to non-uniform time domains. Finally, the obtained results are described with an illustrative example.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1080/00207179.2021.1890823
- https://www.tandfonline.com/doi/pdf/10.1080/00207179.2021.1890823?needAccess=true
- OA Status
- bronze
- Cited By
- 4
- References
- 37
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3136997755
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- OpenAlex ID
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https://openalex.org/W3136997755Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1080/00207179.2021.1890823Digital Object Identifier
- Title
-
Time scale observability and constructibility of linear dynamic equationsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-03-25Full publication date if available
- Authors
-
Bacem Ben Nasser, Mohamed Djemaï, Michaël Defoort, Taous‐Meriem Laleg‐KiratiList of authors in order
- Landing page
-
https://doi.org/10.1080/00207179.2021.1890823Publisher landing page
- PDF URL
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https://www.tandfonline.com/doi/pdf/10.1080/00207179.2021.1890823?needAccess=trueDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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bronzeOpen access status per OpenAlex
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https://www.tandfonline.com/doi/pdf/10.1080/00207179.2021.1890823?needAccess=trueDirect OA link when available
- Concepts
-
Observability, Reachability, Mathematics, Duality (order theory), Linear system, Discrete time and continuous time, Controllability, Mathematical optimization, Applied mathematics, Algorithm, Discrete mathematics, Mathematical analysis, StatisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
4Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2022: 2, 2021: 1Per-year citation counts (last 5 years)
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37Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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