Detectability of mix-valued logical control networks based on a Luenberger-like observer approach
Abstract This research investigates detectability of a class of mix-valued logical control networks through the application of a Luenberger-like observer. First, three concepts of detectability: detectability, strong detectability, and weak detectability are defined for the mix-valued logical contro...
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Nature Portfolio
2024-12-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-82083-6 |
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| author | Shulan Kong Mingying Lu Mutian Li |
| author_facet | Shulan Kong Mingying Lu Mutian Li |
| author_sort | Shulan Kong |
| collection | DOAJ |
| description | Abstract This research investigates detectability of a class of mix-valued logical control networks through the application of a Luenberger-like observer. First, three concepts of detectability: detectability, strong detectability, and weak detectability are defined for the mix-valued logical control networks. Subsequently, the equivalent algebraic form of the control networks is obtained to deal with the three kinds of detectability. A Luenberger-like observer for the equivalent algebraic representation is designed to tackle the challenges. Then some necessary and sufficient conditions for detectability are derived by employing the observer associated with detecting the states of the control networks. Finally, two examples are presented to effectively demonstrate our obtained conclusions in both theory and applications. Moreover it is shown that our proposed observer scheme has good performance. |
| format | Article |
| id | doaj-art-fc4eaaabf6cc4ed09a07ef7bc32418cd |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-fc4eaaabf6cc4ed09a07ef7bc32418cd2025-08-20T02:39:38ZengNature PortfolioScientific Reports2045-23222024-12-0114111510.1038/s41598-024-82083-6Detectability of mix-valued logical control networks based on a Luenberger-like observer approachShulan Kong0Mingying Lu1Mutian Li2School of Mathematical Sciences, Qufu Normal UniversitySchool of Mathematical Sciences, Qufu Normal UniversityDepartment of Applied Mathematics, University of WashingtonAbstract This research investigates detectability of a class of mix-valued logical control networks through the application of a Luenberger-like observer. First, three concepts of detectability: detectability, strong detectability, and weak detectability are defined for the mix-valued logical control networks. Subsequently, the equivalent algebraic form of the control networks is obtained to deal with the three kinds of detectability. A Luenberger-like observer for the equivalent algebraic representation is designed to tackle the challenges. Then some necessary and sufficient conditions for detectability are derived by employing the observer associated with detecting the states of the control networks. Finally, two examples are presented to effectively demonstrate our obtained conclusions in both theory and applications. Moreover it is shown that our proposed observer scheme has good performance.https://doi.org/10.1038/s41598-024-82083-6Mix-valued logical control networksDetectabilitySemi-tensor productLuenberger-like observer |
| spellingShingle | Shulan Kong Mingying Lu Mutian Li Detectability of mix-valued logical control networks based on a Luenberger-like observer approach Scientific Reports Mix-valued logical control networks Detectability Semi-tensor product Luenberger-like observer |
| title | Detectability of mix-valued logical control networks based on a Luenberger-like observer approach |
| title_full | Detectability of mix-valued logical control networks based on a Luenberger-like observer approach |
| title_fullStr | Detectability of mix-valued logical control networks based on a Luenberger-like observer approach |
| title_full_unstemmed | Detectability of mix-valued logical control networks based on a Luenberger-like observer approach |
| title_short | Detectability of mix-valued logical control networks based on a Luenberger-like observer approach |
| title_sort | detectability of mix valued logical control networks based on a luenberger like observer approach |
| topic | Mix-valued logical control networks Detectability Semi-tensor product Luenberger-like observer |
| url | https://doi.org/10.1038/s41598-024-82083-6 |
| work_keys_str_mv | AT shulankong detectabilityofmixvaluedlogicalcontrolnetworksbasedonaluenbergerlikeobserverapproach AT mingyinglu detectabilityofmixvaluedlogicalcontrolnetworksbasedonaluenbergerlikeobserverapproach AT mutianli detectabilityofmixvaluedlogicalcontrolnetworksbasedonaluenbergerlikeobserverapproach |