Stabilization of a Class of Switched Positive Nonlinear Systems
Joint Authors
Xing, Xing
Jia, Zhichun
Yin, Yunfei
Wu, Tingting
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The problem of switching stabilization for a class of switched positive nonlinear systems(switched positive homogeneous cooperative system (SPHCS) in the continuous-time context and switchedpositive homogeneous order-preserving system (SPHOS) in the discrete-time context) is studied by usingaverage dwell time (ADT) approach, where the positive subsystems are possibly all unstable.
To tacklethis problem, a new class of ADT switching is first defined, which is different from the previous definedADT switching in the literature.
Then, the proposed ADT is designed via analyzing the weighted l ∞ norm of the considered system’s state.
A sufficient condition of stabilization for SPHCSs with unstablepositive subsystems is derived in continuous-time context.
Furthermore, a sufficient condition for SPHOSsunder the assumption that all modes are possibly unstable is also obtained.
Finally, a numerical exampleis given to demonstrate the advantages and effectiveness of our developed results.
American Psychological Association (APA)
Xing, Xing& Jia, Zhichun& Yin, Yunfei& Wu, Tingting. 2015. Stabilization of a Class of Switched Positive Nonlinear Systems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1073023
Modern Language Association (MLA)
Xing, Xing…[et al.]. Stabilization of a Class of Switched Positive Nonlinear Systems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1073023
American Medical Association (AMA)
Xing, Xing& Jia, Zhichun& Yin, Yunfei& Wu, Tingting. Stabilization of a Class of Switched Positive Nonlinear Systems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1073023
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073023