Optimal Controls For Stochastic Partial Differential Equations With An Application In Population Modeling
Keywords
Necessary conditions; Optimal control; Population model; Stochastic partial differential equations
Abstract
An optimal control problem for a system of stochastic partial differential equations with nonlocal terms is considered. The control of this system is motivated by a model for optimal harvesting of a population on a spatial grassland habitat. Existence of optimal controls and necessary conditions for the optimal control of such systems are established.
Publication Date
1-1-2016
Publication Title
SIAM Journal on Control and Optimization
Volume
54
Issue
2
Number of Pages
495-535
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1137/15M1010233
Copyright Status
Unknown
Socpus ID
84964812379 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84964812379
STARS Citation
Lenhart, Suzanne; Xiong, Jie; and Yong, Jiongmin, "Optimal Controls For Stochastic Partial Differential Equations With An Application In Population Modeling" (2016). Scopus Export 2015-2019. 3324.
https://stars.library.ucf.edu/scopus2015/3324