Artículo de revista
Maximal monotonicity and cyclic monotonicity arising in nonsmooth Lur'e dynamical systems
Fecha
2017Registro en:
J. Math. Anal. Appl 448 (2017) 691–706
10960813
0022247X
10.1016/j.jmaa.2016.11.025
Autor
Adly, Samir
Hantoute, Abderrahim
Le, Ba Khiet
Institución
Resumen
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.