Fractional Order Complex Systems
Fractional-order systems extend classical integer-order models, providing a more accurate description of real-world physical phenomena. In image processing, critical techniques like noise suppression and image fusion in medical imaging are essential for clinical diagnosis and treatment. The increasi...
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| Формат: | Online |
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| Язык: | английский |
| Опубликовано: |
MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Предметы: | |
| Online-ссылка: | ONIX_20250812T095121_9783725834037_193 |
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| _version_ | 1869525663259557888 |
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| collection | Directory of Open Access Books |
| description | Fractional-order systems extend classical integer-order models, providing a more accurate description of real-world physical phenomena. In image processing, critical techniques like noise suppression and image fusion in medical imaging are essential for clinical diagnosis and treatment. The increasing diversity of image acquisition models has further emphasized the importance of these techniques. Recent advancements have positioned fractional operators as a key component in image processing, serving as powerful tools for noise reduction and feature enhancement. Additionally, the development of new fractional operating tools has significantly enhanced the analysis and design of nonlinear control systems. Singular systems, characterized by singular differential equations, exhibit unique properties distinct from classical systems. Methodologies for fractional-order control systems, inspired by integer-order approaches, are gaining traction within the control community due to their enhanced capabilities. This Special Issue highlights the latest developments in fractional calculus and its transformative impact across multiple disciplines, setting the stage for future innovations in applied mathematics and engineering. |
| format | Online |
| id | doab-20.500.12854ir-165244 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1652442025-08-12T08:16:11Z Fractional Order Complex Systems Zhang, Jin-Xi Zhang, Xuefeng Boutat, Driss Liu, Da-Yan admissibility generalized criteria stability singular fractional order systems deep image enhancement edges fractional differentiation fractional differential inverse distance weighted security control discrete-time networked systems denial-of-service (DoS) attacks fractional-order descriptor fractional order systems unified criterion linear matrix inequality fractional powers lower-triangular systems nonparametric uncertainties prescribed performance reference tracking disturbance observer unmanned surface vehicles finite-time command filter optical flow estimation swarm intelligence optimization fractional-order differential adaptive weed and crop semantic segmentation deep learning small training data heterogeneous data fractal dimension estimation fractional-order modeling and identification selective catalytic reduction denitrification process large inertia and time delay proportional integral controller gender recognition infrared light images fractal dimension body segmentation surveillance system multi-focus image image fusion CNP NSCT plant images missing plant parts limited camera viewing angle plant image classification and segmentation spoof attack spoof detection finger-vein recognition generative adversarial network convolutional neural network fractal geometry harvesting robot apple nonlinear surface fitting multivariate regression analysis n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Fractional-order systems extend classical integer-order models, providing a more accurate description of real-world physical phenomena. In image processing, critical techniques like noise suppression and image fusion in medical imaging are essential for clinical diagnosis and treatment. The increasing diversity of image acquisition models has further emphasized the importance of these techniques. Recent advancements have positioned fractional operators as a key component in image processing, serving as powerful tools for noise reduction and feature enhancement. Additionally, the development of new fractional operating tools has significantly enhanced the analysis and design of nonlinear control systems. Singular systems, characterized by singular differential equations, exhibit unique properties distinct from classical systems. Methodologies for fractional-order control systems, inspired by integer-order approaches, are gaining traction within the control community due to their enhanced capabilities. This Special Issue highlights the latest developments in fractional calculus and its transformative impact across multiple disciplines, setting the stage for future innovations in applied mathematics and engineering. 2025-08-12T08:16:07Z 2025-08-12T08:16:07Z 2025 book ONIX_20250812T095121_9783725834037_193 9783725834037 9783725834044 https://directory.doabooks.org/handle/20.500.12854/165244 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10770 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-3404-4 10.3390/books978-3-7258-3404-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725834037 9783725834044 340 open access |
| spellingShingle | admissibility generalized criteria stability singular fractional order systems deep image enhancement edges fractional differentiation fractional differential inverse distance weighted security control discrete-time networked systems denial-of-service (DoS) attacks fractional-order descriptor fractional order systems unified criterion linear matrix inequality fractional powers lower-triangular systems nonparametric uncertainties prescribed performance reference tracking disturbance observer unmanned surface vehicles finite-time command filter optical flow estimation swarm intelligence optimization fractional-order differential adaptive weed and crop semantic segmentation deep learning small training data heterogeneous data fractal dimension estimation fractional-order modeling and identification selective catalytic reduction denitrification process large inertia and time delay proportional integral controller gender recognition infrared light images fractal dimension body segmentation surveillance system multi-focus image image fusion CNP NSCT plant images missing plant parts limited camera viewing angle plant image classification and segmentation spoof attack spoof detection finger-vein recognition generative adversarial network convolutional neural network fractal geometry harvesting robot apple nonlinear surface fitting multivariate regression analysis n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Fractional Order Complex Systems |
| title | Fractional Order Complex Systems |
| title_full | Fractional Order Complex Systems |
| title_fullStr | Fractional Order Complex Systems |
| title_full_unstemmed | Fractional Order Complex Systems |
| title_short | Fractional Order Complex Systems |
| title_sort | fractional order complex systems |
| topic | admissibility generalized criteria stability singular fractional order systems deep image enhancement edges fractional differentiation fractional differential inverse distance weighted security control discrete-time networked systems denial-of-service (DoS) attacks fractional-order descriptor fractional order systems unified criterion linear matrix inequality fractional powers lower-triangular systems nonparametric uncertainties prescribed performance reference tracking disturbance observer unmanned surface vehicles finite-time command filter optical flow estimation swarm intelligence optimization fractional-order differential adaptive weed and crop semantic segmentation deep learning small training data heterogeneous data fractal dimension estimation fractional-order modeling and identification selective catalytic reduction denitrification process large inertia and time delay proportional integral controller gender recognition infrared light images fractal dimension body segmentation surveillance system multi-focus image image fusion CNP NSCT plant images missing plant parts limited camera viewing angle plant image classification and segmentation spoof attack spoof detection finger-vein recognition generative adversarial network convolutional neural network fractal geometry harvesting robot apple nonlinear surface fitting multivariate regression analysis n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | admissibility generalized criteria stability singular fractional order systems deep image enhancement edges fractional differentiation fractional differential inverse distance weighted security control discrete-time networked systems denial-of-service (DoS) attacks fractional-order descriptor fractional order systems unified criterion linear matrix inequality fractional powers lower-triangular systems nonparametric uncertainties prescribed performance reference tracking disturbance observer unmanned surface vehicles finite-time command filter optical flow estimation swarm intelligence optimization fractional-order differential adaptive weed and crop semantic segmentation deep learning small training data heterogeneous data fractal dimension estimation fractional-order modeling and identification selective catalytic reduction denitrification process large inertia and time delay proportional integral controller gender recognition infrared light images fractal dimension body segmentation surveillance system multi-focus image image fusion CNP NSCT plant images missing plant parts limited camera viewing angle plant image classification and segmentation spoof attack spoof detection finger-vein recognition generative adversarial network convolutional neural network fractal geometry harvesting robot apple nonlinear surface fitting multivariate regression analysis n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20250812T095121_9783725834037_193 |