Finite-time stabilization of a class of chaotic systems with matched and unmatched uncertainties: An LMI approach

Complexity ◽  
2014 ◽  
Vol 21 (5) ◽  
pp. 14-19 ◽  
Author(s):  
Saleh Mobayen
Keyword(s):  
Finite Time ◽  
Chaotic Systems ◽  
Lmi Approach ◽  
Unmatched Uncertainties ◽  
Finite Time Stabilization ◽  
Matched And Unmatched Uncertainties

scholarly journals Algunos errores en el uso de funciones de Lyapunov para control de estructura variable

2021 ◽  
Vol 8 (16) ◽  
pp. 11-17
Author(s):  
David Ismael Vázquez-Dueñas ◽  
Jorge Luis Álvarez-Urias
Keyword(s):  
Lyapunov Function ◽  
Finite Time ◽  
Lyapunov Functions ◽  
Fixed Time ◽  
Second Order ◽  
Function Approach ◽  
Set Design ◽  
Lmi Approach ◽  
Finite Time Stabilization

Este trabajo discute errores encontrados en el uso de funciones de Lyapunov propuestas en resultados recientes de control de estructura variable: en diseños continuos con convergencia en tiempo finito (``Continuous finite-time stabilization of the translational and rotational double integrators'' por Bhat y Bernstein, 1998), basados en funciones implícitas de Lyapunov (``Finite-time and fixed-time stabilization: implicit Lyapunov function approach'' por Polyakov et al, 2015), y basados en funciones de Lyapunov discontinuas por partes (``An LMI approach for second-order sliding set design using piecewise Lyapunov functions'' Tapia et al, 2017).

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