• DocumentCode
    2521419
  • 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
  • fYear
    2011
  • fDate
    23-25 May 2011
  • Firstpage
    2862
  • Lastpage
    2867
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference (CCDC), 2011 Chinese
  • Conference_Location
    Mianyang
  • Print_ISBN
    978-1-4244-8737-0
  • Type

    conf

  • DOI
    10.1109/CCDC.2011.5968741
  • Filename
    5968741