On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces

[摘要] 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.

[学科分类] 应用数学