Abstract:

The calculation of optimal boundary control for a class of timevarying population system with agedependence was studied by penalty shifting method. Using the solutions {(p_m,u_m)} of the unconstraint minimization question to approach the solution (p(u),u) of the restraint, p and u as independent variable, the authors obtained the approximation sequence and found the approximate solution u_m of optimal boundary control u for the system and proved the convergence of the sequence.

Key words:  penalty shifting method, timevarying population system, optimal boundary control