Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces

Tian Yue

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Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces

机译：Banach空间中不可逆线性离散系统的非均匀多项式二分法

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摘要

We study three polynomial dichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give characterizations in terms of Lyapunov functions for nonuniform polynomial dichotomy of nonautonomous and noninvertible linear discrete-time systems.

机译：我们研究了Banach空间中线性离散时间系统的三个多项式二分法概念。我们的主要目标是针对非自治和不可逆线性离散时间系统的非均匀多项式二分法，根据Lyapunov函数进行表征。

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《Journal of control science and engineering》 |2015年第2015期|185910.1-185910.7|共7页
作者
Tian Yue;
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School of Science, Hubei University of Automotive Technology, Shiyan, Hubei 442002, China;

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1. Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces [J] . TianYue Journal of control science and engineering . 2015,第1期

机译：Banach空间中不可逆线性离散系统的非均匀多项式二分法
2. Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems [J] . Ioan-LucianPopa, MihailMegan, TraianCeau?u ScientificWorldJournal . 2013,第3期

机译：Lyapunov函数的非均匀指数二分法，用于不可逆境线性离散时间系统
3. On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces [J] . Zhi-gangLi, Xiao-qiuSong, Xiu-liYang Journal of applied mathematics . 2014,第1期

机译：Banach空间中线性离散系统的非均匀多项式三项式
4. On the robustness of a concept of dichotomy with different growth rates for linear discrete-time systems in Banach spaces [C] . Violeta Crai IEEE International Symposium on Applied Computational Intelligence and Informatics . 2016

机译：Banach空间中线性离散时间系统具有不同增长率的二分法概念的鲁棒性
5. Bases in Spaces of Regular Multilinear Operators and Homogeneous Polynomials on Banach Lattices [D] . Navoyan, Khazhak Varazdat 2018

机译：Banach格上正则多线性算子和齐次多项式空间的基
6. Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems [O] . Ioan-Lucian Popa, Mihail Megan, Traian Ceauşu 2013

机译：基于不可逆线性离散系统的Lyapunov函数的非均匀指数二分法
7. On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces [O] . Zhi-gang Li, Xiao-qiu Song, Xiu-li Yang 2014

机译：Banach空间中线性离散时间系统的非均匀多项式三分要
8. Dynamic Disturbance Decoupling for Nonlinear Systems: The Nonsquare and Noninvertible Case [R] . Huijberts, H. J. C., Nijmeijer, H., van der Wegen, L. L. M. 1990

机译：非线性系统的动态扰动解耦：非方形和不可逆情形

Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces

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