Stability of time-varying systems in the absence of strict Lyapunov functions

dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.contributor.author
Naser, Mohammad Fuad Mohammad
dc.contributor.author
Ikhouane, Fayçal
dc.date.issued
2019-06-01
dc.identifier
Naser, M.; Ikhouane, F. Stability of time-varying systems in the absence of strict Lyapunov functions. "IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION", 1 Juny 2019, vol. 36, núm. 2, p. 461-483.
dc.identifier
0265-0754
dc.identifier
https://hdl.handle.net/2117/175447
dc.identifier
10.1093/imamci/dnx056
dc.description.abstract
When a non-linear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. What happens when the strict condition fails? This paper provides an answer to that question using a formulation that does not make use of the specific structure of the system model. This formulation is then applied to the study of the asymptotic stability of some classes of linear and non-linear time-varying systems.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author's final draft)
dc.format
23 p.
dc.format
application/pdf
dc.language
eng
dc.relation
https://academic.oup.com/imamci/article-abstract/36/2/461/4769573
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Open Access
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject
Lyapunov functions
dc.subject
Lyapunov functions
dc.subject
Time-varying systems
dc.subject
(Asymptotic) stability
dc.subject
Lyapunov, Funcions de
dc.title
Stability of time-varying systems in the absence of strict Lyapunov functions
dc.type
Article


Fitxers en aquest element

FitxersGrandàriaFormatVisualització

No hi ha fitxers associats a aquest element.

Aquest element apareix en la col·lecció o col·leccions següent(s)

E-prints [73006]