Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
State feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical simulation can verify the effectiveness of th...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/7473208 |
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| _version_ | 1832562979761029120 |
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| author | Li Xu Shanshan Lou Panqi Xu Guang Zhang |
| author_facet | Li Xu Shanshan Lou Panqi Xu Guang Zhang |
| author_sort | Li Xu |
| collection | DOAJ |
| description | State feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical simulation can verify the effectiveness of the algorithm. Furthermore, how less or more sample data and dependence on the initial state affect estimation procedure are tested. |
| format | Article |
| id | doaj-art-d66b4911702244cc96fab0f2db97252c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d66b4911702244cc96fab0f2db97252c2025-02-03T01:21:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/74732087473208Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra SystemLi Xu0Shanshan Lou1Panqi Xu2Guang Zhang3School of Mathematics, Tianjin University, Tianjin 300072, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaState feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical simulation can verify the effectiveness of the algorithm. Furthermore, how less or more sample data and dependence on the initial state affect estimation procedure are tested.http://dx.doi.org/10.1155/2018/7473208 |
| spellingShingle | Li Xu Shanshan Lou Panqi Xu Guang Zhang Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System Discrete Dynamics in Nature and Society |
| title | Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System |
| title_full | Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System |
| title_fullStr | Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System |
| title_full_unstemmed | Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System |
| title_short | Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System |
| title_sort | feedback control and parameter invasion for a discrete competitive lotka volterra system |
| url | http://dx.doi.org/10.1155/2018/7473208 |
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