Almost global stability of dynamical systems
In this Thesis we have put together many results recently appeared in the control community, related with the concepts of almost global stability of dynamical systems and density functions. We have also made some contributions on this direction: we have incorporated the idea of monotone measures and...
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| Autore principale: | |
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| Natura: | doctoralThesis |
| Lingua: | inglese |
| Pubblicazione: |
2006
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| Accesso online: | http://hdl.handle.net/20.500.12008/2896 |
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| Riassunto: | In this Thesis we have put together many results recently appeared in the control community, related with the concepts of almost global stability of dynamical systems and density functions. We have also made some contributions on this direction: we have incorporated the idea of monotone measures and studied its relationship with almost global stability; we have blended these new ideas with the classical Ponincar´e-Bendixson Theory for planar systems and we have developed converse results on the direction of proving an equivalence between the existence of density functions and almost global stability. Closing this work, we have analyzed the almost global synchronization of sinusoidally coupled oscillators, where we have stated how some conditions on the interconnection graph ensures the almost global stability of the synchronized state. |
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