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

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.

Bibliographic Details
Main Author: Tian Yue
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/185910