Optimal Control of Delay-Differential Inclusions in Infinite-Dimensional Spaces with Continuous Initial Conditions

摘要：

This paper is devoted to the study of a Bolza type optimal control problem for nonconvex delay-differential inclusions in Banach spaces with endpoints constraints and continuous initial condition.First,we construct a sequence of discrete approximations to the original Bolza problem and derive necessary optimality conditions for discrete problems based on advanced tools of generalized differentiation and recent achievements of variational analysis in infinite-dimensional spaces.Then,we establish necessary optimality conditions for the Bolza problem by passing to the limit from discrete approximations.

关键词： optimal control variational analysis generalized differentiation delay-differential inclusions discrete approximations necessary optimality conditions.

作者: Lianwen Wang Boris Mordukhovich Dong Wang

作者单位: Department of Mathematics and Computer Science,University of Central Missouri,Warrensburg,MO,64093,U Department of Mathematics,Wayne State University,Detroit,MI,48202,USA Department of Mathematics and Computer Science,Fayetteville State University,Fayetteville,NC,28301,U

会议类型: 国际会议

会议名称: International Conference on Modelling,Identification and Control(模拟、鉴定、控制国际会议)

会议地点: 上海

会议语种:英文

在线出版日期: 2008-06-29（万方平台首次上网日期，不代表论文的发表时间）