Upper semicontinuity of the solution map to a parametric boundary optimal control problem with unbounded constraint sets

Autor:	Tuan Anh Dao, Nguyen Hai Son
Rok vydání:	2021
Předmět:	Constraint (information theory) Control and Optimization Stability (learning theory) Solution set Boundary (topology) Applied mathematics Admissible set Computational intelligence Optimal control Mathematics Parametric statistics
Zdroj:	Optimization Letters. 16:1799-1815
ISSN:	1862-4480 1862-4472
Popis:	The paper studies the solution stability of a parametric control problem governed by semilinear elliptic equations with a mixed state-control constraint, where the objective function is nonconvex and the admissible set is unbounded. We show that under certain conditions, the solution set is upper semicontinuous and continuous with respect to parameters.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5665072c6cd71a908ff9d48ee89d5341 https://doi.org/10.1007/s11590-021-01804-2 Zobrazit plný text záznamu Full text from SpringerLink