State-constrained porous media control systems with application to stabilization

被引：0

作者：

Ciotir, Ioana ^{[1
,2
]}

Goreac, Dan ^{[3
,4
]}

Munteanu, Ionut ^{[5
,6
]}

机构：

[1] Normandie Univ, INSA Rouen Normandie, LMI EA 3226 FR CNRS 3335, F-76000 Rouen, France

[2] Tohoku Univ, Res Ctr Pure & Appl Math, Grad Sch Informat Sci, Sendai, Japan

[3] Shandong Univ, Sch Math & Stat, Weihai 264209, Peoples R China

[4] Univ Paris Est Creteil, Univ Gustave Eiffel, LAMA, UPEM, F-77447 Marne la Vallee, France

[5] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol I 11, Iasi 700506, Romania

[6] Romanian Acad, O Mayer Inst Math, Bd Carol I 8, Iasi 700505, Romania

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2023年 / 23卷 / 02期

关键词：

Stochastic porous media systems; Stochastic control; State constraints; Viability; Stabilization; STOCHASTIC-CONTROL; EXISTENCE; EQUATIONS;

D O I：

10.1007/s00028-023-00874-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We aim at providing a characterization of the ability to maintain a stochastic coupled system with porous media components in a prescribed set of constraints by using internal controls. This property is proven via a quasi-tangency local-in-time condition in the spirit of Euler approximation schemes. In particular, by employing one of the components of the system as asymptotic supervisor, we give conditions guaranteeing the exponential asymptotic stabilizability of controlled porous media equations.

引用

页数：34

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