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Inicio Revista Iberoamericana de Automática e Informática Industrial RIAI Análisis de Estabilidad de Sistemas Borrosos
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Vol. 4. Issue 2.
Pages 7-25 (April 2007)
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Vol. 4. Issue 2.
Pages 7-25 (April 2007)
Open Access
Análisis de Estabilidad de Sistemas Borrosos
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3145
Basil M. Al-Hadithi
,1
, Fernando Matía**, Agustín Jiménez**
* Escuela Politécnica Superior Universidad Alfonso X El Sabio Villanueva de la Cañada, Av/de la Universidad, 1. 28691-Madrid, Spain
** Departamento de Automática, Ingeniería Electrónica e Informática Industrial Universidad Politécnica de Madrid J. Gutierrez Abascal, 2. 28006-Madrid, Spain
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Resumen

En este trabajo se revisa el estado del arte sobre estabilidad de sistemas borrosos, poniéndose de manifiesto las dificultades para su análisis, debido a la característica falta de linealidad de los mismos. Se revisan los estudios basados en el criterio del círculo, las técnicas para calcular Índices de estabilidad, así como técnicas basadas en aplicación del teorema de estabilidad de Lyapunov, que permite utilizar métodos númericos de búsqueda de soluciones. Además, se revisan los trabajos de estabilidad mediante el uso del modelo borroso de Takagi-Sugeno (T-S), el enfoque de las Desigualdades Matriciales Lineales (LMI), que ha tenido un interés creciente en los últimos años, así como otra línea de investigación basada en estabilidad energética.

Palabras clave:
Sistemas borrosos
Estabilidad global y asintótica
Modelo borroso afín de Takagi-Sugeno
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