ShanghaiTech University Knowledge Management System
Ellipsoidal Arithmetic for Multivariate Systems | |
Villanueva, M. E.1; Rajyaguru, J.1; Houska, B.2; Chachuat, B.1 | |
2015 | |
会议录名称 | 12TH INTERNATIONAL SYMPOSIUM ON PROCESS SYSTEMS ENGINEERING (PSE) AND 25TH EUROPEAN SYMPOSIUM ON COMPUTER AIDED PROCESS ENGINEERING (ESCAPE), PT A |
卷号 | 37 |
页码 | 767-772 |
发表状态 | 已发表 |
摘要 | The ability to determine enclosures for the image set of nonlinear functions is pivotal to many applications in engineering. This paper presents a method for the systematic construction of ellipsoidal extensions of factorable functions. It proceeds by lifting the ellipsoid to a higher dimensional space for every atom operation in the function's directed acyclic graph, thereby accounting for dependencies. We present theoretical results regarding the quadratic Hausdorff convergence of the computed enclosures. Moreover, we propose an efficient implementation, whereby the shape matrix of the lifted ellipsoid is stored in sparse format, and every atom operation corresponds to a sparse update in that matrix. We illustrate these developments with two numerical examples. |
关键词 | Ellipsoids Function Bounding Interval Arithmetic |
出版地 | SARA BURGERHARTSTRAAT 25, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS |
收录类别 | CPCI |
语种 | 英语 |
WOS研究方向 | Engineering |
WOS类目 | Engineering, Chemical ; Engineering, Industrial |
WOS记录号 | WOS:000366889500123 |
出版者 | ELSEVIER SCIENCE BV |
WOS关键词 | INTERVAL-ANALYSIS ; GLOBAL OPTIMIZATION |
原始文献类型 | Proceedings Paper |
引用统计 | |
文献类型 | 会议论文 |
条目标识符 | https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/2306 |
专题 | 信息科学与技术学院_PI研究组_Boris Houska组 |
通讯作者 | Villanueva, M. E. |
作者单位 | 1.Univ London Imperial Coll Sci Technol & Med, Ctr Proc Syst Engn, London SW7 2AZ, England 2.ShanghaiTech Univ, Sch Informat Sci & Technol, Shanghai 200031, Peoples R China |
推荐引用方式 GB/T 7714 | Villanueva, M. E.,Rajyaguru, J.,Houska, B.,et al. Ellipsoidal Arithmetic for Multivariate Systems[C]. SARA BURGERHARTSTRAAT 25, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS:ELSEVIER SCIENCE BV,2015:767-772. |
条目包含的文件 | ||||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 |
修改评论
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。