scholarly journals Lyapunov Functions, Stability and Input-to-State Stability Subtleties for Discrete-Time Discontinuous Systems

2009 ◽  
Vol 54 (10) ◽  
pp. 2421-2425 ◽  
Author(s):  
M. Lazar ◽  
W.P.M.H. Heemels ◽  
A.R. Teel
Keyword(s):  
Discrete Time ◽  
Lyapunov Functions ◽  
Discontinuous 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.

Minkowski and Lyapunov Functions in Contractive Sets Characterization for Discrete-Time Linear Systems

2021 ◽  
Author(s):  
Mihaela-Hanako Matcovschi ◽  
Marius Apetrii ◽  
Octavian Pastravanu ◽  
Mihail Voicu
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Lyapunov Functions ◽  
Time Linear

Efficient LMI Conditions for Enhanced Stabilization of Discrete-Time Takagi–Sugeno Models via Delayed Nonquadratic Lyapunov Functions

2019 ◽  
Vol 27 (9) ◽  
pp. 1833-1843 ◽  
Author(s):  
Pedro Henrique S. Coutinho ◽  
Jimmy Lauber ◽  
Miguel Bernal ◽  
Reinaldo M. Palhares
Keyword(s):  
Discrete Time ◽  
Lyapunov Functions ◽  
Takagi Sugeno
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