Solving Optimal Feedback Control of Chinese Population Dynamics by Viscosity Solution Approach
نویسندگان
چکیده
In this paper, the optimal birth feedback control of a McKendrick type age-structured population dynamic system based on the Chinese population dynamics is considered. Adopt the dynamic programming approach, to obtain the Hamilton-Jacobi-Bellman equation and prove that the value function is its viscosity solution. By the derived classical verification theorem, the optimal birth feedback control is found explicitly. A finite difference scheme is designed to solving numerically the optimal birth feedback control. Under the same constraint, by comparing with different controls, the validity of the optimality of the obtained control is verified numerically. Copyright c ©2005 IFAC
منابع مشابه
Numerical solution to the optimal birth feedback control of a population dynamics: viscosity solution approach
1 Institute of Systems Science, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, People’s Republic of China School of Computational and Applied Mathematics, University of the Witwatersrand, Private 3, Wits 2050, Johannesburg, South Africa 3 Institute of Systems Science, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, People’s Republic of ...
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تاریخ انتشار 2005