Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System
Joint Authors
Zhang, Guofeng
Ji, Zhenyi
Wu, Wenyuan
Feng, Yong
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-18
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ji, Zhenyi& Wu, Wenyuan& Feng, Yong& Zhang, Guofeng. 2013. Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-504014
Modern Language Association (MLA)
Ji, Zhenyi…[et al.]. Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-504014
American Medical Association (AMA)
Ji, Zhenyi& Wu, Wenyuan& Feng, Yong& Zhang, Guofeng. Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-504014
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504014