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| 基于营养动力学的广义捕食者—食饵—生物残体系统的变结构控制 | |
| 引用本文： | 赵立纯,刘敬娜,刘佩勇.基于营养动力学的广义捕食者—食饵—生物残体系统的变结构控制[J].数学的实践与认识,2012,42(3):135-144. |
| 作者姓名： | 赵立纯 刘敬娜 刘佩勇 |
| 作者单位： | 1. 鞍山师范学院数学系,辽宁鞍山,114005 2. 鞍山师范学院数学系,辽宁鞍山114005;东北大学数学学院,辽宁沈阳114006 3. 东北大学数学学院,辽宁沈阳,114006 |
| 摘 要： | 利用变结构控制理论研究了一个基于营养动力学的广义捕食者一食饵一生物残体系统的变结构控制问题.首先,给出了基于营养动力学的广义捕食者一食饵一生物残体系统的正则平衡点的稳定性条件;同时利用广义系统理论研究了基于营养动力学的广义捕食者一食饵一生物残体系统的正则化问题,得到了其可正则化条件;最后,对其实施控制,并利用变结构控制理论,实现了基于营养动力学的广义捕食者一食饵一生物残体系统的稳定化,保持了系统的持续生存. |
| 关 键 词： | 变结构控制 切换函数 营养动力学 广义系统 正则可控 |
Variable Structure Control of a Singular Predator-prey-residual System based on Nutrition Dynamics |
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| ZHAO Li-chun , LIU Jing-na , LIU Pei-yong.Variable Structure Control of a Singular Predator-prey-residual System based on Nutrition Dynamics[J].Mathematics in Practice and Theory,2012,42(3):135-144. | |
| Authors: | ZHAO Li-chun LIU Jing-na LIU Pei-yong |
| Institution: | 1.Departmant of Mathematics,Anshan Teachers College,Anshan 116029,China) (2.Departmant of Mathematics,Notheastern University,Shenyang 114006,China) |
| Abstract: | In the paper,the variable structure control of a singular predator-prey-residual system based on nutrition dynamics is investigated by variable structure control theory.First, using singular system theory,the stability and the Regularility for singular predator-preyresidual systems based on nutrition dynamics is studied,and the conditions of the stability and the reularility for the system in queation are given.Then,the controller which makes the system stable and keep the eco-system sustainable are obtained with the help of feedback control. |
| Keywords: | variable structure control switching functions nutrition dynamics singular systems regularility |
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