Banach空间上离散时间系统的多项式稳定  

On polynomial stability of linear discrete-time systems in Banach spaces

作　　者：黄雷雷 宋晓秋 卢威 HUANG Lei-lei SONG Xiao-qiu LU Wei(School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China)

机构地区：[1]中国矿业大学数学学院,江苏徐州221116

出　　处：《山东大学学报（理学版）》2017年第10期36-41,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11371362)

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。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.

关 键 词：线性离散时间系统 一致多项式稳定 非一致多项式稳定 多项式稳定 强多项式稳定 

分 类 号：O177.2[理学—数学]