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  • 标题:Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales
  • 本地全文:下载
  • 作者:Bacem Ben Nasser ; Michael Defoort ; Mohamed Djemai
  • 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
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