Open AccessOn Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces
Author(s) -
Zhigang Li,
Xiaoqiu Song,
Xiuli Yang
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/807265
Subject(s) - trichotomy (philosophy) , mathematics , banach space , polynomial , pure mathematics , mathematical analysis , discrete mathematics , philosophy , linguistics
We study two nonuniform polynomial trichotomy concepts for lineardiscrete-time systems in Banach spaces. Our main objective is to give summation property fornonuniform polynomial trichotomies. As for applications we obtain characterization of theseconcepts in terms of Lyapunov functions
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