WEAK LYAPUNOV FUNCTIONS AND DIFFERENTIAL INCLUSIONS INVOLVING PROX-REGULAR SETS

被引：0

作者：

Adly, Samir ^{[1
]}

Hantoute, Abderrahim ^{[2
]}

Bao Tran Nguyen ^{[3
]}

机构：

[1] Univ Limoges, Lab XLIM, 123 Ave Albert Thomas, F-87060 Limoges, France

[2] Univ Chile, CMM, Santiago, Chile

[3] Univ OHiggins, Rancagua, Chile

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 01期

关键词：

Differential inclusions; Cusco mappings; maximal monotone operators; prox-regular sets; alpha-Lyapunov pairs; invariant sets; PAIRS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first give criteria for weak Lyapunov functions associated to differential inclusions, given in R-n and governed by Lipschitz Cusco perturbations of maximal monotone operators. Next, we apply this result to study the existence and stability of differential inclusions involving normal cones to prox-regular sets.

引用

页码：1 / 24

页数：24

共 17 条

[1] Lyapunov Stability of Differential Inclusions Involving Prox-Regular Sets via Maximal Monotone Operators
Adly, Samir
Hantoute, Abderrahim
Bao Tran Nguyen
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 182 (03) : 906 - 934
[2] Lyapunov Stability of Differential Inclusions Involving Prox-Regular Sets via Maximal Monotone Operators
Samir Adly
Abderrahim Hantoute
Bao Tran Nguyen
Journal of Optimization Theory and Applications, 2019, 182 : 906 - 934
[3] Differential Variational Inequalities with Locally Prox-Regular Sets
Mazade, Marc
Thibault, Lionel
JOURNAL OF CONVEX ANALYSIS, 2012, 19 (04) : 1109 - 1139
[4] BV Sweeping Process Involving Prox-Regular Sets and a Composed Perturbation
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SET-VALUED AND VARIATIONAL ANALYSIS, 2024, 32 (01)
[5] Regularization of differential variational inequalities with locally prox-regular sets
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Mathematical Programming, 2013, 139 : 243 - 269
[6] Regularization of differential variational inequalities with locally prox-regular sets
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MATHEMATICAL PROGRAMMING, 2013, 139 (1-2) : 243 - 269
[7] DISCONTINUOUS SWEEPING PROCESS WITH PROX-REGULAR SETS
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Nacry, Florent
Thibault, Lionel
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[8] Sweeping process by prox-regular sets in Riemannian Hilbert manifolds
Bernicot, Frederic
Venel, Juliette
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (08) : 4086 - 4121
[9] EXISTENCE AND RELAXATION OF BV SOLUTIONS FOR A SWEEPING PROCESS WITH PROX-REGULAR SETS
Tolstonogov, Alexandr Alexandrovich
Bychkov, Igor Vyacheslavovich
EVOLUTION EQUATIONS AND CONTROL THEORY, 2025,
[10] Metric projection and compatibly parameterized families of prox-regular sets in Hilbert space
Sebbah, Matthieu
Thibault, Lionel
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (03) : 1547 - 1562

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