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Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems
Joint Authors
Meng, Fanwei
Sun, Yuangong
Wu, Zhaorong
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Lyapunov functions play a key role in the stability analysis of complex systems.
In this paper, we study the existence of a class of common weak linear copositive Lyapunov functions (CWCLFs) for positive switched linear systems (PSLSs) which generalize the conventional common linear copositive Lyapunov functions (CLCLFs) and can be used as handy tool to deal with the stability of PSLSs not covered by CLCLFs.
We not only establish necessary and sufficient conditions for the existence of CWCLFs but also clearly describe the algebraic structure of all CWCLFs.
Numerical examples are also given to demonstrate the effectiveness of the obtained results.
American Psychological Association (APA)
Sun, Yuangong& Wu, Zhaorong& Meng, Fanwei. 2018. Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems. Complexity،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1132840
Modern Language Association (MLA)
Sun, Yuangong…[et al.]. Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems. Complexity No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1132840
American Medical Association (AMA)
Sun, Yuangong& Wu, Zhaorong& Meng, Fanwei. Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems. Complexity. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1132840
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132840