scholarly journals A Characterization of Robust Regions of Attraction for Discrete-Time Systems Based on Bellman Equations

2020 ◽  
Vol 53 (2) ◽  
pp. 6390-6397
Author(s):  
Bai Xue ◽  
Naijun Zhan ◽  
Yangjia Li
Keyword(s):  
Discrete Time ◽  
Bellman Equations ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Regions Of Attraction

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

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Zhi-gang Li ◽  
Xiao-qiu Song ◽  
Xiu-li Yang
Keyword(s):  
Banach Spaces ◽  
Discrete Time ◽  
Lyapunov Functions ◽  
Discrete Time Systems ◽  
Time Systems

We study two nonuniform polynomial trichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give summation property for nonuniform polynomial trichotomies. As for applications we obtain characterization of these concepts in terms of Lyapunov functions.

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