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一类具反馈控制和时滞阶段结构抛物系统的稳定性

The stability of a delayed stage-structured parabolic system with feedback controls
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摘要 研究一类具反馈控制和时滞阶段结构的抛物系统,对相应的线性化算子进行了谱分析,给出了正平衡点的局部稳定性;运用上下解方法及相应的单调迭代序列研究其动力学行为,得到正平衡点渐近稳定的充分条件. A delayed stage-structured parabolic system is discussed, the local asymptotical stabilities are given using spectral analysis of the corresponding linearized operator; the dynamics of the system is investigated using upper and lower solutions and the associated monotone iterations, and sufficient conditions are obtained for the asymptotic stability of the positive equilibrium of the model.
作者 谭飞
机构地区 淮海工学院数理科学系
出处 《苏州大学学报（自然科学版）》 CAS 2007年第4期24-29,共6页 Journal of Soochow University(Natural Science Edition)
关键词 抛物系统 反馈控制 时滞 阶段结构 稳定性 parabolic system feedback controls time delay stage structure stability
分类号 O175.26 [理学—基础数学]
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参考文献10

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苏州大学学报（自然科学版）
2007年 第4期

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