scholarly journals Flow Structure Identification for Nonlinear Dynamical Systems via Finite-Time Lyapunov Analysis

2015 ◽  
Vol 10 (3) ◽  
pp. 91-104
Author(s):  
M. Maggia ◽  
K. D. Mease
Keyword(s):  
Dynamical Systems ◽  
Flow Structure ◽  
Finite Time ◽  
Nonlinear Dynamical Systems ◽  
Structure Identification ◽  
Lyapunov Analysis ◽  
Nonlinear Dynamical

scholarly journals General conformable estimators with finite-time stability

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Fidel Meléndez-Vázquez ◽  
Guillermo Fernández-Anaya ◽  
Eduardo G. Hernández-Martínez
Keyword(s):  
Dynamical Systems ◽  
Finite Time ◽  
Nonlinear Dynamical Systems ◽  
Time Stability ◽  
Conformable Derivative ◽  
Stability Function ◽  
Nonlinear Dynamical ◽  
Finite Time Stability ◽  
Conformable Derivatives ◽  
The Stability

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.

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