文献类型：期刊文献

英文题名：Relaxation in nonconvex optimal control problems described by fractional differential equations

作者：Liu, Xiaoyou[1];Liu, Zhenhai[2];Fu, Xi[3]

机构：[1]Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China;[2]Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China;[3]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

年份：2014

卷号：409

期号：1

起止页码：446

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000324974700041)、、Scopus(收录号：2-s2.0-84883449213)、WOS

基金：Project supported by the NNSF of China Grant Nos. 11271087, 61263006 and Guangxi Scientific Experimental (China-ASEAN Research) Centre No. 20120116.

语种：英文

外文关键词：Fractional differential equation; Optimal control; Relaxation property; Nonconvex constraint; Feedback control

外文摘要：We consider the minimization problem of an integral functional with integrand that is not convex in the control on solutions of a control system described by fractional differential equation with mixed nonconvex constraints on the control. A relaxation problem is treated along with the original problem. It is proved that, under general assumptions, the relaxation problem has an optimal solution, and that for each optimal solution there is a minimizing sequence of the original problem that converges to the optimal solution with respect to the trajectory, the control, and the functional in appropriate topologies simultaneously. (C) 2013 Elsevier Inc. All rights reserved.