Boundary Control-Based Finite-Time Passivity for Fractional Spatiotemporal Directed Networks with Multiple Weights
This article mainly delves into finite-time passivity and finite-time synchronization of fractional-order spatiotemporal directed networks with multiple weights via boundary control schemes. Firstly, several concepts of finite-time passivity for fractional spatiotemporal models are proposed by virtu...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-11-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/8/11/676 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850267692232081408 |
|---|---|
| author | Li Zhao Cheng Hu Juan Yu |
| author_facet | Li Zhao Cheng Hu Juan Yu |
| author_sort | Li Zhao |
| collection | DOAJ |
| description | This article mainly delves into finite-time passivity and finite-time synchronization of fractional-order spatiotemporal directed networks with multiple weights via boundary control schemes. Firstly, several concepts of finite-time passivity for fractional spatiotemporal models are proposed by virtue of a fractional-order differential inequality. Next, a boundary controller is presented to realize the passivity, which only relies on the information of the state at the spatial boundary. Subsequently, by constructing the Lyapunov function and leveraging some inequality techniques, some sufficient conditions in the form of linear matrix inequalities are established to ensure the finite-time strict passivity, finite-time input strict passivity, and finite-time output strict passivity. As a consequence of the derived result of finite-time output strict passivity, several criteria are obtained for realizing finite-time synchronization of the addressed fractional spatiotemporal networks. A numerical example is eventually presented to verify the developed control protocol and the theoretical criteria. |
| format | Article |
| id | doaj-art-2054aa7a87c045d98f95e590de55b1e4 |
| institution | OA Journals |
| issn | 2504-3110 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-2054aa7a87c045d98f95e590de55b1e42025-08-20T01:53:41ZengMDPI AGFractal and Fractional2504-31102024-11-0181167610.3390/fractalfract8110676Boundary Control-Based Finite-Time Passivity for Fractional Spatiotemporal Directed Networks with Multiple WeightsLi Zhao0Cheng Hu1Juan Yu2College of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaThis article mainly delves into finite-time passivity and finite-time synchronization of fractional-order spatiotemporal directed networks with multiple weights via boundary control schemes. Firstly, several concepts of finite-time passivity for fractional spatiotemporal models are proposed by virtue of a fractional-order differential inequality. Next, a boundary controller is presented to realize the passivity, which only relies on the information of the state at the spatial boundary. Subsequently, by constructing the Lyapunov function and leveraging some inequality techniques, some sufficient conditions in the form of linear matrix inequalities are established to ensure the finite-time strict passivity, finite-time input strict passivity, and finite-time output strict passivity. As a consequence of the derived result of finite-time output strict passivity, several criteria are obtained for realizing finite-time synchronization of the addressed fractional spatiotemporal networks. A numerical example is eventually presented to verify the developed control protocol and the theoretical criteria.https://www.mdpi.com/2504-3110/8/11/676fractional-order spatiotemporal networkmultiple weightsdirected topologyfinite-time passivityboundary control |
| spellingShingle | Li Zhao Cheng Hu Juan Yu Boundary Control-Based Finite-Time Passivity for Fractional Spatiotemporal Directed Networks with Multiple Weights Fractal and Fractional fractional-order spatiotemporal network multiple weights directed topology finite-time passivity boundary control |
| title | Boundary Control-Based Finite-Time Passivity for Fractional Spatiotemporal Directed Networks with Multiple Weights |
| title_full | Boundary Control-Based Finite-Time Passivity for Fractional Spatiotemporal Directed Networks with Multiple Weights |
| title_fullStr | Boundary Control-Based Finite-Time Passivity for Fractional Spatiotemporal Directed Networks with Multiple Weights |
| title_full_unstemmed | Boundary Control-Based Finite-Time Passivity for Fractional Spatiotemporal Directed Networks with Multiple Weights |
| title_short | Boundary Control-Based Finite-Time Passivity for Fractional Spatiotemporal Directed Networks with Multiple Weights |
| title_sort | boundary control based finite time passivity for fractional spatiotemporal directed networks with multiple weights |
| topic | fractional-order spatiotemporal network multiple weights directed topology finite-time passivity boundary control |
| url | https://www.mdpi.com/2504-3110/8/11/676 |
| work_keys_str_mv | AT lizhao boundarycontrolbasedfinitetimepassivityforfractionalspatiotemporaldirectednetworkswithmultipleweights AT chenghu boundarycontrolbasedfinitetimepassivityforfractionalspatiotemporaldirectednetworkswithmultipleweights AT juanyu boundarycontrolbasedfinitetimepassivityforfractionalspatiotemporaldirectednetworkswithmultipleweights |