Exponential Stability of Switched Positive Homogeneous Systems
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper studies the exponential stability of switched positive nonlinear systems defined by cooperative and homogeneous vector fields.
In order to capture the decay rate of such systems, we first consider the subsystems.
A sufficient condition for exponential stability of subsystems with time-varying delays is derived.
In particular, for the corresponding delay-free systems, we prove that this sufficient condition is also necessary.
Then, we present a sufficient condition of exponential stability under minimum dwell time switching for the switched positive nonlinear systems.
Some results in the previous literature are extended.
Finally, a numerical example is given to demonstrate the effectiveness of the obtained results.
American Psychological Association (APA)
Tian, Dadong& Liu, Shutang. 2017. Exponential Stability of Switched Positive Homogeneous Systems. Complexity،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1142852
Modern Language Association (MLA)
Tian, Dadong& Liu, Shutang. Exponential Stability of Switched Positive Homogeneous Systems. Complexity No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1142852
American Medical Association (AMA)
Tian, Dadong& Liu, Shutang. Exponential Stability of Switched Positive Homogeneous Systems. Complexity. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1142852
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142852