摘要: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.
关键词:Lyapunov Function ; Exponential Stability ; Symmetric Positive Definite Matrix ; Quadratic Lyapunov Function ; Single Delay