scholarly journals Computation of Lyapunov functions for discrete-time systems using the Yoshizawa construction

2014 ◽  
Author(s):  
Huijuan Li ◽  
Sigurdur Hafstein ◽  
Christopher M. Kellett
Keyword(s):  
Discrete Time ◽  
Lyapunov Functions ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Ioan-Lucian Popa ◽  
Mihail Megan ◽  
Traian Ceauşu
Keyword(s):  
Discrete Time ◽  
Lyapunov Functions ◽  
Exponential Dichotomies ◽  
Discrete Time Systems ◽  
Nonuniform Exponential Dichotomies ◽  
Time Systems

The aim of this paper is to give characterizations in terms of Lyapunov functions for nonuniform exponential dichotomies of nonautonomous and noninvertible discrete-time systems.

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

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Tian Yue
Keyword(s):  
Banach Spaces ◽  
Discrete Time ◽  
Lyapunov Functions ◽  
Discrete Time Systems ◽  
Time Systems

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.

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