LOCATING THEOREMS OF DIFFERENTIAL INCLUSIONS GOVERNED BY MAXIMALLY MONOTONE OPERATORS

被引：0

作者：

Dao, Minh N. ^{[1
]}

Saoud, Hassan ^{[2
]}

Thera, Michel A. ^{[3
]}

机构：

[1] RMIT Univ, Sch Sci, Melbourne, Vic 3000, Australia

[2] Amer Univ Middle East, Coll Engn & Technol, Kuwait, Kuwait

[3] Univ Limoges, Lab XLIM UMR CNRS 7252, F-87032 Limoges, France

来源：

SIAM JOURNAL ON OPTIMIZATION | 2023年 / 33卷 / 04期

关键词：

location theorem; invariance principle; omega-limit set; Lyapunov functions; maximally; nonsmooth dynamical systems; maximally monotone operator; DYNAMICAL-SYSTEMS; EQUATIONS; EVOLUTION; DRIVEN;

D O I：

10.1137/22M1523030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in studying the asymptotic behavior of the solutions of differential inclusions governed by maximally monotone operators. In the case where the LaSalle's invariance principle is inconclusive, we provide a refined version of the invariance principle theorem. This result derives from the problem of locating the omega-limit set of a bounded solution of the dynamic. In addition, we propose an extension of LaSalle's invariance principle, which allows us to give a sharper location of the omega-limit set. The provided results are given in terms of nonsmooth Lyapunov pair-type functions.

引用

页码：2703 / 2720

页数：18

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