Stabilization of the GLV System with Asymptotically Unbounded External Disturbances
This paper investigates the stabilization of the generalized Lotka–Volterra (GLV) biological model, which is affected by the asymptotically unbounded external disturbances, and presents some new results. Firstly, two stabilizers are proposed for the nominal GLV system. Then, some appropriate filters...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/21/4496 |
| _version_ | 1827765637936578560 |
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| author | Zhi Liu Rongwei Guo |
| author_facet | Zhi Liu Rongwei Guo |
| author_sort | Zhi Liu |
| collection | DOAJ |
| description | This paper investigates the stabilization of the generalized Lotka–Volterra (GLV) biological model, which is affected by the asymptotically unbounded external disturbances, and presents some new results. Firstly, two stabilizers are proposed for the nominal GLV system. Then, some appropriate filters are designed and applied to asymptotically track the corresponding disturbances. Based on these filters, two disturbance-estimator (DE)-based controllers are presented to cancel the corresponding disturbances. Compared to the existing results, the advantage of this paper is in handling the asymptotically unbounded external disturbances effectively. Finally, the correctness and effectiveness of the proposed results are verified by computer simulation. |
| first_indexed | 2024-03-11T11:25:24Z |
| format | Article |
| id | doaj.art-77c0bb85bb894d7b95dbdcfa02a0e077 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T11:25:24Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-77c0bb85bb894d7b95dbdcfa02a0e0772023-11-10T15:08:04ZengMDPI AGMathematics2227-73902023-10-011121449610.3390/math11214496Stabilization of the GLV System with Asymptotically Unbounded External DisturbancesZhi Liu0Rongwei Guo1School of Information Engineering, Shandong Management University, Jinan 250357, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaThis paper investigates the stabilization of the generalized Lotka–Volterra (GLV) biological model, which is affected by the asymptotically unbounded external disturbances, and presents some new results. Firstly, two stabilizers are proposed for the nominal GLV system. Then, some appropriate filters are designed and applied to asymptotically track the corresponding disturbances. Based on these filters, two disturbance-estimator (DE)-based controllers are presented to cancel the corresponding disturbances. Compared to the existing results, the advantage of this paper is in handling the asymptotically unbounded external disturbances effectively. Finally, the correctness and effectiveness of the proposed results are verified by computer simulation.https://www.mdpi.com/2227-7390/11/21/4496GLVstabilizationdisturbancesestimatorasymptoticallyunbounded |
| spellingShingle | Zhi Liu Rongwei Guo Stabilization of the GLV System with Asymptotically Unbounded External Disturbances Mathematics GLV stabilization disturbances estimator asymptotically unbounded |
| title | Stabilization of the GLV System with Asymptotically Unbounded External Disturbances |
| title_full | Stabilization of the GLV System with Asymptotically Unbounded External Disturbances |
| title_fullStr | Stabilization of the GLV System with Asymptotically Unbounded External Disturbances |
| title_full_unstemmed | Stabilization of the GLV System with Asymptotically Unbounded External Disturbances |
| title_short | Stabilization of the GLV System with Asymptotically Unbounded External Disturbances |
| title_sort | stabilization of the glv system with asymptotically unbounded external disturbances |
| topic | GLV stabilization disturbances estimator asymptotically unbounded |
| url | https://www.mdpi.com/2227-7390/11/21/4496 |
| work_keys_str_mv | AT zhiliu stabilizationoftheglvsystemwithasymptoticallyunboundedexternaldisturbances AT rongweiguo stabilizationoftheglvsystemwithasymptoticallyunboundedexternaldisturbances |