Algunos errores en el uso de funciones de Lyapunov para control de estructura variable
Resumen
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).Descargas
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