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  • 标题:General conformable estimators with finite-time stability
  • 本地全文:下载
  • 作者:Fidel Meléndez-Vázquez ; Guillermo Fernández-Anaya ; Eduardo G. Hernández-Martínez
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-020-03003-2
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, some estimators are proposed for nonlinear dynamical systems with the general conformable derivative. In order to analyze the stability of these estimators, some Lyapunov-like theorems are presented, taking into account finite-time stability. Thus, to prove these theorems, a stability function is defined based on the general conformable operator, which implies exponential stability. The performance of the estimators is assessed by means of numerical simulations. Furthermore, a comparison is made between the results obtained with the integer, fractional, and general conformable derivatives.
  • 关键词:General conformable derivative ; General conformable exponential stability ; Conformable estimator ; Finite-time stability
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