Existence and Uniqueness of the Exponentially Stable Limit Cycle for a Class of Nonlinear Systems via Time-Domain Approach with Differential Inequality
Joint Authors
Wang, Ching-Cheng
Sun, Yeong-Jeu
Wu, Yu-Biaw
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The concept of the exponentially stable limit cycle (ESLC) is introduced, and the ESLC phenomenon for a class of nonlinear systems is explored.
Based on time-domain approach with differential inequality, the existence and uniqueness of the ESLC for such nonlinear systems can be guaranteed.
Besides, the period of oscillation, the amplitude of oscillation, and guaranteed convergence rate can be accurately estimated.
Finally, two numerical simulations are provided to illustrate the feasibility and effectiveness of the obtained result.
American Psychological Association (APA)
Sun, Yeong-Jeu& Wu, Yu-Biaw& Wang, Ching-Cheng. 2013. Existence and Uniqueness of the Exponentially Stable Limit Cycle for a Class of Nonlinear Systems via Time-Domain Approach with Differential Inequality. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-492587
Modern Language Association (MLA)
Sun, Yeong-Jeu…[et al.]. Existence and Uniqueness of the Exponentially Stable Limit Cycle for a Class of Nonlinear Systems via Time-Domain Approach with Differential Inequality. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-492587
American Medical Association (AMA)
Sun, Yeong-Jeu& Wu, Yu-Biaw& Wang, Ching-Cheng. Existence and Uniqueness of the Exponentially Stable Limit Cycle for a Class of Nonlinear Systems via Time-Domain Approach with Differential Inequality. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-492587
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492587