Maximal monotonicity and cyclic monotonicity arising in nonsmooth Lur'e dynamical systems
Author
dc.contributor.author
Adly, Samir
Author
dc.contributor.author
Hantoute, Abderrahim
Author
dc.contributor.author
Le, Ba Khiet
Admission date
dc.date.accessioned
2019-05-29T13:10:38Z
Available date
dc.date.available
2019-05-29T13:10:38Z
Publication date
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2017
Cita de ítem
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J. Math. Anal. Appl 448 (2017) 691–706
Identifier
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10960813
Identifier
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0022247X
Identifier
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10.1016/j.jmaa.2016.11.025
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/168844
Abstract
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We study a precomposition of a maximal monotone operator with linear mappings, which preserves the maximal monotonicity in the setting of reflexive Banach spaces. Instead of using the adjoint of such linear operators, as in the usual precomposition, we consider a more general situation involving operators which satisfy the so-called passivity condition. We also provide similar analysis for the preservation of the maximal cyclic monotonicity. These results are applied to derive existence results for nonsmooth Lur'e dynamical systems.