Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems
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 Lyapu...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/1365960 |
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| _version_ | 1832565505149370368 |
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| author | Yuangong Sun Zhaorong Wu Fanwei Meng |
| author_facet | Yuangong Sun Zhaorong Wu Fanwei Meng |
| author_sort | Yuangong Sun |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-49fc9baea6604eec953f1b8480589470 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-49fc9baea6604eec953f1b84805894702025-02-03T01:07:31ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/13659601365960Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear SystemsYuangong Sun0Zhaorong Wu1Fanwei Meng2School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaLyapunov 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.http://dx.doi.org/10.1155/2018/1365960 |
| spellingShingle | Yuangong Sun Zhaorong Wu Fanwei Meng Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems Complexity |
| title | Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems |
| title_full | Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems |
| title_fullStr | Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems |
| title_full_unstemmed | Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems |
| title_short | Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems |
| title_sort | common weak linear copositive lyapunov functions for positive switched linear systems |
| url | http://dx.doi.org/10.1155/2018/1365960 |
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