Pseudo-Lyapunov methods for Grunwald-Letnikov and initialized fractional systems

Simple item page
dc.contributor.authorGallegos, Javier A. A.
dc.contributor.authorAguila-Camacho, Norelys
dc.date.accessioned2025-01-20T20:19:42Z
dc.date.available2025-01-20T20:19:42Z
dc.date.issued2023
dc.description.abstractThis paper presents reduced-order methods to study the stability of initialized or Grunwald-Letnikov fractional nonlinear systems. It is shown that the initialization procedure must be formalized by introducing a class of systems, and the corresponding stability analysis must be established for each element of that class. The main features obtained using this novel approach are (a) the requirements for stability are imposed directly on the equations of the system and involve only finite-dimensional variables; (b) the conclusions are asserted on the variables of interest; (c) the method can be extended in several ways, including multi-order systems. Illustrative examples, including an application in adaptive control, are finally presented to convey the usefulness of our approach.
dc.description.funderFONDECYT
dc.fuente.origenWOS
dc.identifier.doi10.1002/mma.8985
dc.identifier.eissn1099-1476
dc.identifier.issn0170-4214
dc.identifier.urihttps://doi.org/10.1002/mma.8985
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92539
dc.identifier.wosidWOS:000905837100001
dc.issue.numero6
dc.language.isoen
dc.pagina.final7588
dc.pagina.inicio7572
dc.revistaMathematical methods in the applied sciences
dc.rightsacceso restringido
dc.subjectadaptive systems
dc.subjectcontrol
dc.subjectGrunwald-Letnikov fractional system
dc.subjectinitialization
dc.subjectstability
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titlePseudo-Lyapunov methods for Grunwald-Letnikov and initialized fractional systems
dc.typeartículo
dc.volumen46
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas