Results and properties related to the exponential stability of singularly perturbed systems are presented. The main result is that, if both the reduced order system and the boundary-layer system are exponentially stable, then the full order system is exponentially stable and its rate of convergence approaches that of the reduced order system as the perturbation parameter approaches zero. Exponentially decaying norm bounds are given for the slow and fast components of the full order system trajectories.

Exponential Stability of Singularly Perturbed Systems

GLIELMO L.
1991

Abstract

Results and properties related to the exponential stability of singularly perturbed systems are presented. The main result is that, if both the reduced order system and the boundary-layer system are exponentially stable, then the full order system is exponentially stable and its rate of convergence approaches that of the reduced order system as the perturbation parameter approaches zero. Exponentially decaying norm bounds are given for the slow and fast components of the full order system trajectories.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/10314
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 35
social impact