A new criterion is established for global asymptotic stability of second-order systems modeled by equations of the type x˙ = (Ax), where is the saturation function. The derivation is based on the Bendixson theorem on limit cycles and a closer study of the trajectories of the systems. Applications to stabilization of more general cascade nonlinear systems are also discussed.

Asymptotic stability of continuous-time systems with saturation nonlinearities

ALBERTINI, FRANCESCA;
1996

Abstract

A new criterion is established for global asymptotic stability of second-order systems modeled by equations of the type x˙ = (Ax), where is the saturation function. The derivation is based on the Bendixson theorem on limit cycles and a closer study of the trajectories of the systems. Applications to stabilization of more general cascade nonlinear systems are also discussed.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

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/11577/2532019
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 28
  • ???jsp.display-item.citation.isi??? ND
social impact