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Inicio Revista Iberoamericana de Automática e Informática Industrial RIAI Estabilidad de Sistemas No Lineales Basada en la Teoría de Liapunov
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Vol. 6. Núm. 2.
Páginas 5-16 (Abril 2009)
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Vol. 6. Núm. 2.
Páginas 5-16 (Abril 2009)
DOI: 10.1016/S1697-7912(09)70088-3
Open Access
Estabilidad de Sistemas No Lineales Basada en la Teoría de Liapunov
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Francisco Gordillo
Escuela Superior de Ingenieros, Camino de los Descubrimientos s/n, 41092, Sevilla, España
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Resumen

El comportamiento dinámico de los sistemas no lineales es mucho más rico que el de los lineales y su análisis mucho más complicado. Para el análisis de estabilidad, las técnicas basadas en la teoría de Liapunov tienen un lugar destacado. En este articulo se revisa parte de esta teoría incluyendo las técnicas de estimación de la cuenca de atracción. También se repasan los resultados que han aparecido en los últimos años sobre la aplicación a este campo de los métodos numéricos de optimización de suma de cuadrados.

Palabras clave:
Estabilidad de Liapunov
Análisis de estabilidad
Cuenca de atracción
Análisis numérico
Problemas de optimización
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