Name
Title | ||
|---|---|---|
Observability Inequality of Backward Stochastic Heat Equations for Measurable Sets and Its Applications. |
Abstract | ||
|---|---|---|
This paper aims to provide directly the observability inequality of backward stochastic heat equations for measurable sets. As an immediate application, the null controllability of the forward heat equations is obtained. Moreover, an interesting relaxed optimal actuator location problem is formulated, and the existence of its solution is proved. Finally, the solution is characterized by a Nash equilibrium of the associated game problem. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M1033289 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
Keywords | Field | DocType |
observability inequality,stochastic heat equation,optimal control,optimal actuator location,Nash equilibrium | Mathematical optimization,Observability,Controllability,Measure (mathematics),Inequality,Heat equation,Nash equilibrium,Mathematics,Actuator | Journal |
Volume | Issue | ISSN |
54 | 3 | 0363-0129 |
Citations | PageRank | References |
1 | 0.44 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dong-Hui Yang | 1 | 7 | 2.02 |
| Jie Zhong | 2 | 171 | 14.53 |