General conformable estimators with finite-time stability

被引：0
|
作者：
Fidel Meléndez-Vázquez
Guillermo Fernández-Anaya
Eduardo G. Hernández-Martínez
机构：
[1] Universidad Iberoamericana,Physics and Mathematics Department
[2] Universidad Iberoamericana,Institute of Applied Research and Technology
来源：
Advances in Difference Equations | / 2020卷
关键词：
General conformable derivative; General conformable exponential stability; Conformable estimator; Finite-time stability;
D O I：
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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.
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