Applications of Fractional Operator in Image Processing and Stability of Control Systems
Fractional calculus and fractional processes are research areas that are gaining increasing attention, with applications in control systems and image processing. Fractional-order systems are a natural generalization of classical integer-order systems with the ability to accurately model a wide range...
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| Format: | Online |
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| Language: | English |
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MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Online Access: | ONIX_20250812T095121_9783725834013_192 |
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| description | Fractional calculus and fractional processes are research areas that are gaining increasing attention, with applications in control systems and image processing. Fractional-order systems are a natural generalization of classical integer-order systems with the ability to accurately model a wide range of real-world physical systems. The fusion and noise suppression of medical images in image processing are essential, as these techniques provide valuable information to support clinical diagnosis and treatment. Image fusion is a significant factor in image processing due to the increase in image acquisition models. Recently, fractional operators have gained importance in image processing. Additionally, powerful fractional operating tools have been introduced, offering extensive applications in the analysis and design of nonlinear control systems. Singular systems are governed by singular differential equations, endowing the systems with many special features not found in classical systems. Fractional-order control systems, which draw from integer-order control systems, are drawing increasing attention within the field. |
| format | Online |
| id | doab-20.500.12854ir-165243 |
| 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-1652432025-08-12T08:16:04Z Applications of Fractional Operator in Image Processing and Stability of Control Systems Zhang, Xuefeng Boutat, Driss Liu, Da-Yan image processing image fusion image denoising image enhancement analysis and control of fractional systems singular fractional systems intelligent fractional control high-performance control non-asymptotic fractional state estimation fractional numerical solution and simulation thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Fractional calculus and fractional processes are research areas that are gaining increasing attention, with applications in control systems and image processing. Fractional-order systems are a natural generalization of classical integer-order systems with the ability to accurately model a wide range of real-world physical systems. The fusion and noise suppression of medical images in image processing are essential, as these techniques provide valuable information to support clinical diagnosis and treatment. Image fusion is a significant factor in image processing due to the increase in image acquisition models. Recently, fractional operators have gained importance in image processing. Additionally, powerful fractional operating tools have been introduced, offering extensive applications in the analysis and design of nonlinear control systems. Singular systems are governed by singular differential equations, endowing the systems with many special features not found in classical systems. Fractional-order control systems, which draw from integer-order control systems, are drawing increasing attention within the field. 2025-08-12T08:16:01Z 2025-08-12T08:16:01Z 2025 book ONIX_20250812T095121_9783725834013_192 9783725834013 9783725834020 https://directory.doabooks.org/handle/20.500.12854/165243 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10635 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-3402-0 10.3390/books978-3-7258-3402-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725834013 9783725834020 416 open access |
| spellingShingle | image processing image fusion image denoising image enhancement analysis and control of fractional systems singular fractional systems intelligent fractional control high-performance control non-asymptotic fractional state estimation fractional numerical solution and simulation thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Applications of Fractional Operator in Image Processing and Stability of Control Systems |
| title | Applications of Fractional Operator in Image Processing and Stability of Control Systems |
| title_full | Applications of Fractional Operator in Image Processing and Stability of Control Systems |
| title_fullStr | Applications of Fractional Operator in Image Processing and Stability of Control Systems |
| title_full_unstemmed | Applications of Fractional Operator in Image Processing and Stability of Control Systems |
| title_short | Applications of Fractional Operator in Image Processing and Stability of Control Systems |
| title_sort | applications of fractional operator in image processing and stability of control systems |
| topic | image processing image fusion image denoising image enhancement analysis and control of fractional systems singular fractional systems intelligent fractional control high-performance control non-asymptotic fractional state estimation fractional numerical solution and simulation thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | image processing image fusion image denoising image enhancement analysis and control of fractional systems singular fractional systems intelligent fractional control high-performance control non-asymptotic fractional state estimation fractional numerical solution and simulation thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20250812T095121_9783725834013_192 |