文章基本信息

标题：Exponential stability of perturbed linear discrete systems
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作者：Josef Diblík ; Denys Y Khusainov ; Jaromír Baštinec 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：2
DOI：10.1186/s13662-015-0738-6
语种：English
出版社：Hindawi Publishing Corporation
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