Let dx/dt = f(t,x) be a smooth differential equation in R×R^n and M be an s--compact invariant set in Rx R^n. Assume the existence of a smooth invariant set Φ in R×Rn containing M such that M is uniformly asymptotically stable with respect to the perturbations lying on Φ. We analyze the influence of the stability properties of Φ "near M" on the unconditional stability properties of M. A comparison with some classical results concerning the autonomous or the periodic case is also given.
Conditional and unconditional stability properties of time dependent sets / L., Salvadori; Visentin, Francesca. - In: SCIENTIAE MATHEMATICAE JAPONICAE. - ISSN 1346-0447. - ELETTRONICO. - 62:(2005), pp. 401-412.
Conditional and unconditional stability properties of time dependent sets
VISENTIN, FRANCESCA
2005
Abstract
Let dx/dt = f(t,x) be a smooth differential equation in R×R^n and M be an s--compact invariant set in Rx R^n. Assume the existence of a smooth invariant set Φ in R×Rn containing M such that M is uniformly asymptotically stable with respect to the perturbations lying on Φ. We analyze the influence of the stability properties of Φ "near M" on the unconditional stability properties of M. A comparison with some classical results concerning the autonomous or the periodic case is also given.| File | Dimensione | Formato | |
|---|---|---|---|
|
LS_FV-Conditional and...2005-48.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Accesso privato/ristretto
Dimensione
158.61 kB
Formato
Adobe PDF
|
158.61 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
