Maximal monotonicity and cyclic monotonicity arising in nonsmooth Lur'e dynamical systems

被引：10

作者：

Adly, Samir ^{[1
]}

Hantoute, Abderrahim ^{[2
]}

Le, Ba Khiet ^{[2
]}

机构：

[1] Univ Limoges, XLIM UMR CNRS 7252, F-87060 Limoges, France

[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 448卷 / 01期

关键词：

Maximal monotonicity; Maximal cyclic monotonicity; Precomposition with linear operators; Passivity condition; Lure systems; Differential inclusions; CONVEX-ANALYSIS; OPERATORS; SUM; STABILITY; MAPPINGS; SPACES;

D O I：

10.1016/j.jmaa.2016.11.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a precomposition of a maximal monotone operator with linear mappings, which preserves the maximal monotonicity in the setting of reflexive Banaph 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. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：691 / 706

页数：16

共 32 条

[1] Nonsmooth Lur'e Dynamical Systems in Hilbert Spaces
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