scholarly journals Computation of continuous and piecewise affine Lyapunov functions for discrete-time systems

2015 ◽  
Vol 21 (6) ◽  
pp. 486-511 ◽  
Author(s):  
Huijuan Li ◽  
Sigurður Hafstein ◽  
Christopher M. Kellett
Keyword(s):  
Discrete Time ◽  
Lyapunov Functions ◽  
Piecewise Affine ◽  
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.

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