Title :
Optimal fertility rate control for a semi-linear population system with final state observation
Author :
Fu, Jun ; Zhu, Hong ; Zhao, Zhiwen
Author_Institution :
Coll. of Math., Jilin Normal Univ., Jilin, China
Abstract :
This paper discusses the optimal fertility rate control problem of a semi-linear population system with final state observation, proves the existence of the optimal fertility rate control, gives the necessary condition for control to be optimal and its optimality system. These results can provide the mathematical theory basis for the practical research of the optimal control problem in population system.
Keywords :
biology; optimal control; final state observation; mathematical theory; necessary condition; optimal control problem; optimal fertility rate control; optimality system; semilinear population system; Cost function; Equations; Mathematical model; Optimal control; Stability analysis; Time varying systems; Mazur´s theorem; Optimal fertility rate control; Optimality system; Semi-linear population system; Variational inequalities;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968741
