General conformable estimators with finite-time stability

• Main Authors: Fidel Meléndez-Vázquez, Guillermo Fernández-Anaya, Eduardo G. Hernández-Martínez
• Format: Article
• Language: English
• Published: SpringerOpen 2020-10-01
• Series: Advances in Difference Equations
• Subjects: General conformable derivative; General conformable exponential stability; Conformable estimator; Finite-time stability
• Online Access: http://link.springer.com/article/10.1186/s13662-020-03003-2

Abstract 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.