Some properties on quadratic infinite programs of integral type

摘要: In this work, we investigate the properties of a class quadratic infinite programs where objective is functional integral type and feasible region subset dimensional space L p ([0,1]). We first derive dual problem primal to demonstrate that there no duality gap between them. Then prove function depends continuously on design function. Two existence theorems for kind optimization are presented. These theoretical results may useful in efficient algorithms programming problem. c 2006 Elsevier Ltd. All rights reserved.