Title
Observability Inequality Of Backward Stochastic Heat Equations For Measurable Sets And Its Applications
Keywords
Nash equilibrium; Observability inequality; Optimal actuator location; Optimal control; Stochastic heat equation
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.
Publication Date
1-1-2016
Publication Title
SIAM Journal on Control and Optimization
Volume
54
Issue
3
Number of Pages
1157-1175
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1137/15M1033289
Copyright Status
Unknown
Socpus ID
84976865353 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84976865353
STARS Citation
Yang, Donghui and Zhong, Jie, "Observability Inequality Of Backward Stochastic Heat Equations For Measurable Sets And Its Applications" (2016). Scopus Export 2015-2019. 2587.
https://stars.library.ucf.edu/scopus2015/2587