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Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System

文献类型：期刊论文

作者Ji, Zhenyi1,2; Wu, Wenyuan2; Feng, Yong2; Zhang, Guofeng3
刊名JOURNAL OF APPLIED MATHEMATICS
出版日期2013
页码5
ISSN号1110-757X
DOI10.1155/2013/859578
通讯作者Ji, ZY (reprint author), Univ Elect Sci & Technol China, Lab Comp Reasoning & Trustworthy Computat, Sch Comp Sci & Engn, Chengdu 611731, Peoples R China.
英文摘要We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative. Then, the positive polynomial system is converted into an equation system by adding some variables. Finally, numerical technique is applied to solve the equation system. Some experiments show the efficiency of our new algorithm.
资助项目National Natural Science Foundation of China[11171053] ; National Natural Science Foundation of China Youth Fund Project[11001040] ; National Natural Science Foundation of China Youth Fund Project[cstc2012ggB40004]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000328975000001
出版者HINDAWI PUBLISHING CORPORATION
源URL[http://119.78.100.138/handle/2HOD01W0/339]  
专题自动推理与认知研究中心
中国科学院重庆绿色智能技术研究院
通讯作者Ji, Zhenyi
作者单位1.Univ Elect Sci & Technol China, Lab Comp Reasoning & Trustworthy Computat, Sch Comp Sci & Engn, Chengdu 611731, Peoples R China
2.Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Lab Automated Reasoning & Cognit, Chongqing 401120, Peoples R China
3.Univ Elect Sci & Technol China, LAS Dept ChengDu Coll, Chengdu 611731, Peoples R China
推荐引用方式
GB/T 7714		 Ji, Zhenyi,Wu, Wenyuan,Feng, Yong,et al. Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System[J]. JOURNAL OF APPLIED MATHEMATICS,2013:5.
APA Ji, Zhenyi,Wu, Wenyuan,Feng, Yong,&Zhang, Guofeng.(2013).Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System.JOURNAL OF APPLIED MATHEMATICS,5.
MLA Ji, Zhenyi,et al."Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System".JOURNAL OF APPLIED MATHEMATICS (2013):5.

入库方式： OAI收割

来源：重庆绿色智能技术研究院

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