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Stabilization of n-Dimensional Lotka-Volterra Competitive System Via Backstepping-Based Method
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 4
- DOI:
- 10.3969/j.issn.1001-9626.2006.04.003
- Key Word:
- Lotka-Volterra竞争模型;后推法(Backstepping);状态反馈控制;全局渐近稳定;Lotka-Volterra competitive system;Backstepping;State feedback control;Globally asymptotically stable
Abstract： This paper investigates the problem of biological population management. A n-species Lotka-Volterra competitive model is considered. With a backstepping control scheme, we keep all the species from going extinct and guarantee the globally asymptotical stability of the closed-loop system.
- [1]赵立纯,张庆灵,杨启昌.Lotka-Volterra捕食-被捕食系统的脉冲控制[J].2002,(1).
- [2]Xinzhi Liu,Katrin Rohlf.Impulsive control of a Lotka-Volterra system[J].1998,15(3).
- [3]Chen LS.,Song XY..Optimal harvesting and stability for a two-species competitive system with stage structure[J].2001,170(2).
- [4]Nenov, S. I..Impulsive controllability and optimization problems in population dynamics[J].1999,36(7).