Optimal Distributed Control for Age-dependent Population Diffusion System

摘要：

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 infinte 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.

关键词： population diffusion system optimal distributed control necessary and sufficient condition optimality system penalty shifting method

作者: Jun Fu Renzhao Chen

作者单位: School of Mathematics, Jilin Normal University, Siping Jilin, 136000, China School of Mathematics and Statistics, Northeast Normal University, Changchun Jilin 130024, China

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 4201-4204

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）