Lyapunov Functionals that Lead to Exponential Stability and Instability in Finite Delay Volterra Difference Equations

2014 ◽  
Vol 41 (1) ◽  
pp. 77-89 ◽  
Author(s):  
Catherine Kublik ◽  
Youssef Raffoul
Keyword(s):  
Exponential Stability ◽  
Difference Equations ◽  
Lyapunov Functionals ◽  
Finite Delay ◽  
Stability And Instability ◽  
Volterra Difference Equations

New criteria for global exponential stability of linear time-varying volterra difference equations

2016 ◽  
Vol 66 (6) ◽  
Author(s):  
Trung Hieu Le
Keyword(s):  
Exponential Stability ◽  
Difference Equations ◽  
Global Exponential Stability ◽  
Linear Time ◽  
Time Varying ◽  
Novel Approach ◽  
New Criteria ◽  
Volterra Difference Equations ◽  
Explicit Criteria

AbstractLinear time-varying Volterra difference equations are considered. By a novel approach, we get some new explicit criteria for global exponential stability. Some examples are given to illustrate the obtained results. To the best of our knowledge, the obtained results are new.

scholarly journals Nonlinear Volterra difference equations in spacelp

2004 ◽  
Vol 2004 (2) ◽  
pp. 301-306 ◽  
Author(s):  
Michael I. Gil' ◽  
Rigoberto Medina
Keyword(s):  
Discrete Time ◽  
Difference Equations ◽  
Volterra Equations ◽  
Stability Conditions ◽  
Lyapunov Functionals ◽  
Volterra Difference Equations

We consider a class of vector nonlinear discrete-time Volterra equations in spacelpand derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.

Sign in / Sign up

Export Citation Format

Share Document