ι~1优化设计的连续性分析(英文)  

Analysis of Continuity Property of ι~1 Optimization Design

作　　者：李平[1] 柴天佑[2] 

机构地区：[1]汕头大学机械电子工程系,汕头515063 [2]东北大学自动化研究中心,沈阳110006

出　　处：《控制理论与应用》1998年第5期774-779,共6页Control Theory & Applications

摘　　要：本文研究ι1优化设计在一般情形下的连续性，本文的结论是文[1]的推广．首先，证明了ι忧优化设计在一般情形下次优解的存在性并给出了ι1优化设计的统一算法．然后，证明了ι1优化设计在一般情形下的连续性．这个结论是研究自适应ι1控制理论的基础．In this paper we investigate the continuity property of ι1 optimization design in general case,extending the main result in Li j where the continuity of ι1 optimization design is proved under some restrictive assumption. At first,in the general case,the existence of suboptimal solution of ι1 optimization problem is proved and a unified ι1 optimization design algorithm is presented.Then the continuity property of ι1 optimization design in general case is proved. This conclusion is the basis of the development of adaptive ι1 control theory.

关 键 词：l^1优化设计 连续性 次优解 控制理论 

分 类 号：O231[理学—运筹学与控制论] TP13[理学—数学]