Optimality conditions for age-structured control systems

[摘要] We consider a fairly general model (extension of the Gurtin-MacCamy model of population dynamics) of an age structured control system with nonlocal dynamics and nonlocal boundary conditions. A necessary optimality condition is obtained in the form of Pontryagin's maximum principle, which is applicable to a number of practically meaningful models where the previously known results fail. We discuss such models (an epidemic control, and a capital accumulation model) as illustrations. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-12-01

[关键词] age-structured systems;population dynamics;McKendrick equation;optimal control of distributed systems;Pontryagin's maximum principle