Preliminary results on the existence of continuous Lyapunov functions for semicontinuous, stochastic discrete-time systems

2009 ◽  
Author(s):  
Andrew R. Teel
Keyword(s):  
Discrete Time ◽  
Lyapunov Functions ◽  
Preliminary Results ◽  
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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