Exponential stability of perturbed linear discrete systems

Result type
journal article in Web of Science database
Description

The paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of Lyapunov. We
consider non-delayed systems as well as systems with a single delay. Simultaneously, explicit exponential estimates of the solutions are derived. The results are illustrated by examples.

Keywords
exponential stability
Lyapunov function
Delay