Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator Saturation
This paper investigates the local stabilization problem of delayed fractional-order neural networks (FNNs) under the influence of actuator saturation. First, the sector condition and dead-zone nonlinear function are specially introduced to characterize the features of the saturation phenomenon. Then...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/8/451 |
| _version_ | 1827627969431994368 |
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| author | Yingjie Fan Xia Huang Zhen Wang |
| author_facet | Yingjie Fan Xia Huang Zhen Wang |
| author_sort | Yingjie Fan |
| collection | DOAJ |
| description | This paper investigates the local stabilization problem of delayed fractional-order neural networks (FNNs) under the influence of actuator saturation. First, the sector condition and dead-zone nonlinear function are specially introduced to characterize the features of the saturation phenomenon. Then, based on the fractional-order Lyapunov method and the estimation technique of the Mittag–Leffler function, an LMIs-based criterion is derived to guarantee the local stability of closed-loop delayed FNNs subject to actuator saturation. Furthermore, two corresponding convex optimization schemes are proposed to minimize the actuator costs and expand the region of admissible initial values, respectively. At last, two simulation examples are developed to demonstrate the feasibility and effectiveness of the derived results. |
| first_indexed | 2024-03-09T13:24:15Z |
| format | Article |
| id | doaj.art-574eeec2756c47db88b7e219ca31c97c |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T13:24:15Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-574eeec2756c47db88b7e219ca31c97c2023-11-30T21:26:10ZengMDPI AGFractal and Fractional2504-31102022-08-016845110.3390/fractalfract6080451Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator SaturationYingjie Fan0Xia Huang1Zhen Wang2College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaThis paper investigates the local stabilization problem of delayed fractional-order neural networks (FNNs) under the influence of actuator saturation. First, the sector condition and dead-zone nonlinear function are specially introduced to characterize the features of the saturation phenomenon. Then, based on the fractional-order Lyapunov method and the estimation technique of the Mittag–Leffler function, an LMIs-based criterion is derived to guarantee the local stability of closed-loop delayed FNNs subject to actuator saturation. Furthermore, two corresponding convex optimization schemes are proposed to minimize the actuator costs and expand the region of admissible initial values, respectively. At last, two simulation examples are developed to demonstrate the feasibility and effectiveness of the derived results.https://www.mdpi.com/2504-3110/6/8/451local stabilizationdelayed fractional-order neural networksactuator saturationconvex optimization |
| spellingShingle | Yingjie Fan Xia Huang Zhen Wang Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator Saturation Fractal and Fractional local stabilization delayed fractional-order neural networks actuator saturation convex optimization |
| title | Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator Saturation |
| title_full | Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator Saturation |
| title_fullStr | Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator Saturation |
| title_full_unstemmed | Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator Saturation |
| title_short | Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator Saturation |
| title_sort | local stabilization of delayed fractional order neural networks subject to actuator saturation |
| topic | local stabilization delayed fractional-order neural networks actuator saturation convex optimization |
| url | https://www.mdpi.com/2504-3110/6/8/451 |
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