Finite-precision stabilization for neutrosophic linear systems using a descriptor model approach
This paper focuses on the stabilization problem of neutrosophic linear systems using finite-precision digital controllers. The main challenge lies in decoupling and processing the indeterminacies inherent in such systems. To tackle this, a standardization method that unifies the bounds of parameter...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-04-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/27FinitePrecision.pdf |
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| _version_ | 1849224397058998272 |
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| author | Rongyao Ling Songquan Shi Wenhua Cui Yiming Fang |
| author_facet | Rongyao Ling Songquan Shi Wenhua Cui Yiming Fang |
| author_sort | Rongyao Ling |
| collection | DOAJ |
| description | This paper focuses on the stabilization problem of neutrosophic linear systems using finite-precision digital controllers. The main challenge lies in decoupling and processing the indeterminacies inherent in such systems. To tackle this, a standardization method that unifies the bounds of parameter indeterminacies is first proposed. Additionally, a fixed-point representation scheme is introduced to define both the precision and representation of the controller parameters. To handle multiple uncertainties in the system, a descriptor model approach is introduced, which transforms the closed-loop system into a singular system, allowing for more effective decoupling of uncertainties. Using singular system theory, a novel solvability condition is derived for system stabilization and a parametric approach for controller design is introduced, accompanied by a numerical example to validate the proposed methods. |
| format | Article |
| id | doaj-art-d2fb22059ed64222838e367e9d825618 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-d2fb22059ed64222838e367e9d8256182025-08-25T10:21:38ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-04-018047849510.5281/zenodo.14720528Finite-precision stabilization for neutrosophic linear systems using a descriptor model approachRongyao LingSongquan ShiWenhua Cui Yiming FangThis paper focuses on the stabilization problem of neutrosophic linear systems using finite-precision digital controllers. The main challenge lies in decoupling and processing the indeterminacies inherent in such systems. To tackle this, a standardization method that unifies the bounds of parameter indeterminacies is first proposed. Additionally, a fixed-point representation scheme is introduced to define both the precision and representation of the controller parameters. To handle multiple uncertainties in the system, a descriptor model approach is introduced, which transforms the closed-loop system into a singular system, allowing for more effective decoupling of uncertainties. Using singular system theory, a novel solvability condition is derived for system stabilization and a parametric approach for controller design is introduced, accompanied by a numerical example to validate the proposed methods. https://fs.unm.edu/NSS/27FinitePrecision.pdfneutrosophic linear systemsfinite word lengthdescriptor modelssystem stabilization |
| spellingShingle | Rongyao Ling Songquan Shi Wenhua Cui Yiming Fang Finite-precision stabilization for neutrosophic linear systems using a descriptor model approach Neutrosophic Sets and Systems neutrosophic linear systems finite word length descriptor models system stabilization |
| title | Finite-precision stabilization for neutrosophic linear systems using a descriptor model approach |
| title_full | Finite-precision stabilization for neutrosophic linear systems using a descriptor model approach |
| title_fullStr | Finite-precision stabilization for neutrosophic linear systems using a descriptor model approach |
| title_full_unstemmed | Finite-precision stabilization for neutrosophic linear systems using a descriptor model approach |
| title_short | Finite-precision stabilization for neutrosophic linear systems using a descriptor model approach |
| title_sort | finite precision stabilization for neutrosophic linear systems using a descriptor model approach |
| topic | neutrosophic linear systems finite word length descriptor models system stabilization |
| url | https://fs.unm.edu/NSS/27FinitePrecision.pdf |
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