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 |
| 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标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Operations Research & Management Science ; Mathematics, Applied |
| 研究领域[WOS] | Operations Research & Management Science ; Mathematics |
| 关键词[WOS] | LINEAR COMPLEMENTARITY-PROBLEMS ; CUTTING ANGLE METHOD ; TIME SEPARATION ; ALGORITHM ; OPTIMIZATION ; REALIZATION ; EVENTS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000250064900002 |
| 公开日期 | 2015-12-24 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/9428]  |
| 专题 | 自动化研究所_09年以前成果 |
| 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：自动化研究所
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