ASYMPTOTIC STABILITY OF CONTINUOUS-TIME SYSTEMS WITH SATURATION NONLINEARITIES

Citation
F. Albertini et D. Dalessandro, ASYMPTOTIC STABILITY OF CONTINUOUS-TIME SYSTEMS WITH SATURATION NONLINEARITIES, Systems & control letters, 29(3), 1996, pp. 175-180
Citations number
22
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
ISSN journal
01676911
Volume
29
Issue
3
Year of publication
1996
Pages
175 - 180
Database
ISI
SICI code
0167-6911(1996)29:3<175:ASOCSW>2.0.ZU;2-X
Abstract
A new criterion is established for global asymptotic stability of seco nd-order systems modeled by equations of the type x = sigma(Ax), where sigma is the saturation function. The derivation is based on the Bend ixon's 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.