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| Título: | Local implications of almost global stability |
| Autor: | Potrie, Rafael Monzón, Pablo |
| Tipo: | Preprint |
| Palabras clave: | Nonlinear systems, Asymptotical stability, Density functions, Almost global stability |
| Fecha de publicación: | 2009 |
| Resumen: | We prove that for autonomous differential equations with the origin as a fixed point, and with at least one eigenvalue with negative real part, we have that the existence of a density function implies local asymptotical stability. We present examples of a system admitting a density function for which the origin is not locally asymptotically stable and an almost globally stable system for which no function is a density function. Keywords: nonlinear systems, asymptotical stability, density functions, almost global stability nbsp, |
| Citación: | Potrie, R., Monzón, P. Local implications of almost global stability [Preprint] Publicado en Dynamical Systems, 2009, v. 24, no. 1, doi: 10.1080/14689360802474657 |
| Aparece en las colecciones: | Publicaciones académicas y científicas - Instituto de Ingeniería Eléctrica |
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|---|---|---|---|---|---|
| PM09.pdf | 168,07 kB | Adobe PDF | Visualizar/Abrir |
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