%0 Journal Article %T NECESSARY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS BY MULTIVALUE NONLINEAR EQUATIONS
多值非线性系统最优控制的一阶必要条件 %A HUANG YU %A
黄煜 %J 系统科学与数学 %D 1990 %I %X In this paper,necessary conditions for optimal control problems by multivalue nonlinearequations are considered.First,we use the smoothing method in such a way that it is ap-proximated by a family of smoothing problems for which the necessary conditions are obtai-ned for optimlity.Then,the necessary conditions are deduced for optimality of the originalcontrol problem under some assumptions.Also,these abstract results are applied to the distri-buted and boundary control problems governed by parabolic differential equations. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=C3667C18782F77B952C4F2CDDB05FA09&yid=8D39DA2CB9F38FD0&vid=F3090AE9B60B7ED1&iid=E158A972A605785F&sid=86C0C9A759FDA8CA&eid=9DC563A0FEFC04F9&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0