| Banach空间上离散时间系统的多项式稳定 |
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| 引用本文： | 黄雷雷,宋晓秋,卢威.Banach空间上离散时间系统的多项式稳定[J].山东大学学报(理学版),2017,52(10):36-41. |
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| 作者姓名： | 黄雷雷 宋晓秋 卢威 |
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| 作者单位： | 中国矿业大学数学学院, 江苏 徐州 221116 |
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| 基金项目： | 国家自然科学基金资助项目(11371362) |
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| 摘 要： | 给出了Banach空间中有关多项式稳定的四种定义,借助实例阐释了四者的关系,利用指数型稳定性的研究方法,讨论了多项式稳定的离散特征,并得到了指数稳定理论中一些经典结论在多项式稳定情形下的变形。
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| 关 键 词： | 线性离散时间系统 非一致多项式稳定 一致多项式稳定 多项式稳定 强多项式稳定 |
| 收稿时间： | 2016-11-03 |
On polynomial stability of linear discrete-time systems in Banach spaces |
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| HUANG Lei-lei,SONG Xiao-qiu,LU Wei.On polynomial stability of linear discrete-time systems in Banach spaces[J].Journal of Shandong University,2017,52(10):36-41. |
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| Authors: | HUANG Lei-lei SONG Xiao-qiu LU Wei |
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| Institution: | School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China |
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| Abstract: | Four concepts of polynomial stability for difference equations are studied in Banach space. Characterizations of these concepts are given and the illustrative examples clarifies the relations between these concepts. Based on the extension of techniques for exponential stability to the case of polynomial stability, discrete characterizations of polynomial stability are discussed. The obtained results are generalizations of well-known theorems about the exponential stability. |
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| Keywords: | nonuniform polynomial stability strong polynomial stability uniform polynomial stability linear discrete-time systems polynomial stability |
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