文章基本信息

标题：Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales
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作者：Bacem Ben Nasser ; Michael Defoort ; Mohamed Djemai 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：16
页码：121-126
DOI：10.1016/j.ifacol.2018.08.021
语种：English
出版社：Elsevier
摘要：AbstractIn this work, we investigate some Razumikhin-type criteria for the uniform global practical asymptotic stability on arbitrary time domains, for time-varying dynamic equations. Using Lyapunov-type functions on time scales, we develop appropriate inequalities ensuring that trajectories decay to the neighborhood of the trivial solution asymptotically. Some numerical examples are discussed to illustrate our results.
关键词：KeywordsDynamic equations on time scalesPractical stabilityLyapunov-Razumikhin techniquesNon-uniform time domains