This paper concerns absolute stability (in the sense of T. Ura) for compact sets with respect to an autonomous dynamical system. In particular, properties which have intrinsic absolute character are individuated (in the sense that if a compact set has such a property, then it has the same property for each degree). It is shown that asymptotic stability as well as total stability are intrinsic absolute properties.
On the ordinal and absolute stability properties / Visentin, Francesca. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI DELLA CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. - ISSN 0392-7881. - STAMPA. - 64:1(1978), pp. 67-72.
On the ordinal and absolute stability properties.
VISENTIN, FRANCESCA
1978
Abstract
This paper concerns absolute stability (in the sense of T. Ura) for compact sets with respect to an autonomous dynamical system. In particular, properties which have intrinsic absolute character are individuated (in the sense that if a compact set has such a property, then it has the same property for each degree). It is shown that asymptotic stability as well as total stability are intrinsic absolute properties.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
