Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain
Author
dc.contributor.author
Adly, Samir
Author
dc.contributor.author
Hantoute, Abderrahim
Author
dc.contributor.author
Théra, Michel
Admission date
dc.date.accessioned
2016-11-22T19:37:59Z
Available date
dc.date.available
2016-11-22T19:37:59Z
Publication date
dc.date.issued
2016
Cita de ítem
dc.identifier.citation
Math. Program., Ser. B (2016) 157:349–374
es_ES
Identifier
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10.1007/s10107-015-0938-6
Identifier
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https://repositorio.uchile.cl/handle/2250/141339
Abstract
dc.description.abstract
The general theory of Lyapunov stability of first-order differential inclusions in Hilbert spaces has been studied by the authors in the previous paper (Adly et al. in Nonlinear Anal 75(3): 985-1008, 2012). This new contribution focuses on the case when the interior of the domain of the maximally monotone operator governing the given differential inclusion is nonempty; this includes in a natural way the finite-dimensional case. The current setting leads to simplified, more explicit criteria and permits some flexibility in the choice of the generalized subdifferentials. Some consequences of the viability of closed sets are given. Our analysis makes use of standard tools from convex and variational analysis.
es_ES
Patrocinador
dc.description.sponsorship
Australian Research Council
DP-110102011
Project FONDECYT-CONICYT
1110019
Project ECOS-CONICYT
C10E08
Math-Amsud
13MATH-01 2013
Ministerio de Economia y Competitividad
MTM2011-29064-C03(03)