Optimal distributed control for age-dependent population diffusion system

Author

Fu, Jun ; Chen, Renzhao

Author_Institution

Sch. of Math., Jilin Normal Univ., Siping, China

fYear

2010

fDate

26-28 May 2010

Firstpage

4201

Lastpage

4204

Abstract

The optimal distributed control problem for age-dependent population diffusion system governed by integral partial differential equations is discussed. The existence and uniqueness of the optimal distributed control is proved. The necessary and sufficient condition for a control to be optimal is obtained; and then the optimality system consisting of integral partial differential equations and variational inequalities is deduced. This optimality system can determine optimal controls. The application of penalty shifting method that Di Pillo statemented for infinite dimensional systems to the approximate solution of control problems for the population system is researched. The approximation program is structured, and the convergence of the approximating sequence on appropriate Hilbert spaces is proved.

Keywords

Hilbert spaces; convergence; demography; distributed control; integral equations; multidimensional systems; optimal control; partial differential equations; variational techniques; Hilbert spaces; age-dependent population diffusion system; approximation program; convergence; infinite dimensional systems; integral partial differential equations; necessary and sufficient condition; optimal controls; optimal distributed control; optimality system; penalty shifting method; population system; variational inequality; Control systems; Distributed control; Hilbert space; Integral equations; Mathematics; Optimal control; Partial differential equations; Q measurement; Statistical distributions; Sufficient conditions; necessary and sufficient condition; optimal distributed control; optimality system; penalty shifting method; population diffusion system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498383

Filename

5498383