Robust stability of a class of nonlinear prey-predator systems with stage structure

摘要：

In this paper, the robust stability problem of prey-predator systems is investigated. As is known, the systems are always suffer from internal parametrical perturbations and external disturbances, and the robustness is the property to maintain the function of the prey-predator systems despite these perturbations.In this study, the nonlinearity of the prey-predator systems is considered. Based on Lyapunov stability theory, the local asymptotic stability of the systems is considered, and the sufficient condition of local robust stability is proposed by a linear matrix inequality (LMI). An example is given to show the effectiveness of the proposed method.

关键词： local stability prey-predator systems robust stability

作者: Zhaoping Du Songlin Hu Yulong Wang

作者单位: Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan,Ch Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan,Ch School of Electronics and Information,Jiangsu University of Science and Technology,Zhenjiang,China,2

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 536-541

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）