中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Globally optimal solutions of max-min systems

文献类型：期刊论文

作者Tao, Yuegang; Liu, Guo-Ping; Chen, Wende
刊名JOURNAL OF GLOBAL OPTIMIZATION
出版日期2007-11-01
卷号39期号:3页码:347-363
关键词global optimization high matrix k(s) -control vector max-min system optimal max-only projection set
ISSN号0925-5001
DOI10.1007/s10898-007-9141-5
英文摘要A variety of problems in computer science, operations research, control theory, etc., can be modeled as non-linear and non-differentiable max-min systems. This paper introduces the global optimization into such systems. The criteria for the existence and uniqueness of the globally optimal solutions are established using the high matrix, optimal max-only projection set and k(s) supercript stop-control vector of max-min functions. It is also shown that the global optimization can be accomplished through the partial max-only projection representation with algebraic and combinatorial features. The methods are constructive and lead to an algorithm of finding all globally optimal solutions.
WOS研究方向Operations Research & Management Science ; Mathematics
语种英语
WOS记录号WOS:000250064900002
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/4369]  
专题中国科学院数学与系统科学研究院
通讯作者Tao, Yuegang
作者单位1.Chinese Acad Sci, Lab Complex Syst & Intelligence Sci, Inst Automat, Beijing 100080, Peoples R China
2.Univ Glamorgan, Dept Engn, Pontypridd CF37 1DL, M Glam, Wales
3.Cent S Univ, Lab Networked Control Syst, Changsha 410083, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Tao, Yuegang,Liu, Guo-Ping,Chen, Wende. Globally optimal solutions of max-min systems[J]. JOURNAL OF GLOBAL OPTIMIZATION,2007,39(3):347-363.
APA Tao, Yuegang,Liu, Guo-Ping,&Chen, Wende.(2007).Globally optimal solutions of max-min systems.JOURNAL OF GLOBAL OPTIMIZATION,39(3),347-363.
MLA Tao, Yuegang,et al."Globally optimal solutions of max-min systems".JOURNAL OF GLOBAL OPTIMIZATION 39.3(2007):347-363.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

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。