Exact Solution of Impulse Response to a Class of Fractional Oscillators and Its Stability
Joint Authors
Lim, S. C.
Li, Ming
Chen, Sheng-yong
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Oscillator of single-degree-freedom is a typical model in system analysis.
Oscillations resulted from differential equations with fractional order attract the interests of researchers since such a type of oscillations may appear dramatic behaviors in system responses.
However, a solution to the impulse response of a class of fractional oscillators studied in this paper remains unknown in the field.
In this paper, we propose the solution in the closed form to the impulse response of the class of fractional oscillators.
Based on it, we reveal the stability behavior of this class of fractional oscillators as follows.
A fractional oscillator in this class may be strictly stable, nonstable, or marginally stable, depending on the ranges of its fractional order.
American Psychological Association (APA)
Li, Ming& Lim, S. C.& Chen, Sheng-yong. 2010. Exact Solution of Impulse Response to a Class of Fractional Oscillators and Its Stability. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-488830
Modern Language Association (MLA)
Li, Ming…[et al.]. Exact Solution of Impulse Response to a Class of Fractional Oscillators and Its Stability. Mathematical Problems in Engineering No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-488830
American Medical Association (AMA)
Li, Ming& Lim, S. C.& Chen, Sheng-yong. Exact Solution of Impulse Response to a Class of Fractional Oscillators and Its Stability. Mathematical Problems in Engineering. 2010. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-488830
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488830