Exponential stability results for variable delay difference equations

Sufficient conditions that guarantee exponential decay to zero of the variable delay difference equation \[x(n+1)=a(n)x(n)+b(n)x(n-g(n))\] are obtained. These sufficient conditions are deduced via inequalities by employing Lyapunov functionals. In addition, a criterion for the instability of the zer...

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Bibliographic Details
Main Author: Ernest Yankson
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2021-02-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol41/1/art/opuscula_math_4107.pdf