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Some remarks on Kahler differentials and ordinary differentials in nonlinear control theory

文献类型：期刊论文

作者Fu, Guofeng2; Halas, Miroslav1; Kotta, Uelle3; Li, Ziming2
刊名SYSTEMS & CONTROL LETTERS
出版日期2011-09-01
卷号60期号:9页码:699-703
关键词Nonlinear systems Algebraic methods Kahler differentials Differential one-forms
ISSN号0167-6911
DOI10.1016/j.sysconle.2011.05.006
英文摘要In the algebraic approach to nonlinear control systems two similar notions, namely Kahler differentials and the formal vector space of differential one-forms having the properties of ordinary differentials, are frequently used to study the systems. This technical note explains that the formal vector space of differential one-forms is isomorphic to a quotient space (module) of Kahler differentials. These two modules coincide when they are modules over a ring of linear differential operators over the field of algebraic functions. Some remarks and examples demonstrating when the use of Kahler differentials might not be appropriate are included. (C) 2011 Elsevier B.V. All rights reserved.
资助项目National Natural Science Foundation of China[60821002/F02] ; Slovak Grant Agency[VG-1/0369/10] ; Estonian Science Foundation[8365]
WOS研究方向Automation & Control Systems ; Operations Research & Management Science
语种英语
WOS记录号WOS:000295251600004
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12304]  
专题系统科学研究所
通讯作者Halas, Miroslav
作者单位1.Slovak Univ Technol Bratislava, Inst Control & Ind Informat, Fac Elect Engn & IT, Bratislava 81219, Slovakia
2.Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
3.Tallinn Univ Technol, Inst Cybernet, EE-12618 Tallinn, Estonia
推荐引用方式
GB/T 7714		 Fu, Guofeng,Halas, Miroslav,Kotta, Uelle,et al. Some remarks on Kahler differentials and ordinary differentials in nonlinear control theory[J]. SYSTEMS & CONTROL LETTERS,2011,60(9):699-703.
APA Fu, Guofeng,Halas, Miroslav,Kotta, Uelle,&Li, Ziming.(2011).Some remarks on Kahler differentials and ordinary differentials in nonlinear control theory.SYSTEMS & CONTROL LETTERS,60(9),699-703.
MLA Fu, Guofeng,et al."Some remarks on Kahler differentials and ordinary differentials in nonlinear control theory".SYSTEMS & CONTROL LETTERS 60.9(2011):699-703.

入库方式： OAI收割

来源：数学与系统科学研究院

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