On necessary conditions for almost global stability

Monzón, Pablo

Resumen:

In the year 2000, the sufficiency of the existence of density functions for the almost global stability of a system was proved. In this note, we prove the necessity of the existence of density functions for the particular case of global asymptotical stability.


Detalles Bibliográficos
2003
Almost global stability
Density functions
Nonlinear systems
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/21217
Acceso abierto
Licencia Creative Commons Atribución – No Comercial – Sin Derivadas (CC - By-NC-ND)
Resumen:
Sumario:In the year 2000, the sufficiency of the existence of density functions for the almost global stability of a system was proved. In this note, we prove the necessity of the existence of density functions for the particular case of global asymptotical stability.