Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms
This paper is concerned with the stability analysis issue for coupled systems on networks with mixed delays and reaction-diffusion terms (CSNMRs). By employing Lyapunov method and Kirchhoff's Theorem in graph theory, a systematic method is proposed to guarantee exponential stability of CSNMRs....
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/780387 |
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| _version_ | 1832562688872415232 |
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| author | Wenxue Li Tianrui Chen Ke Wang |
| author_facet | Wenxue Li Tianrui Chen Ke Wang |
| author_sort | Wenxue Li |
| collection | DOAJ |
| description | This paper is concerned with the stability analysis issue for coupled systems on networks with mixed delays and reaction-diffusion terms (CSNMRs). By employing Lyapunov method and Kirchhoff's Theorem in graph theory, a systematic method is proposed to guarantee exponential stability of CSNMRs. Two different kinds
of sufficient criteria are derived in the form of Lyapunov function and coefficients of the system, respectively. Finally, a numerical example is given to show the effectiveness of the proposed criteria. |
| format | Article |
| id | doaj-art-9bf15f1a64534e66bcbb013de1c4dcf7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9bf15f1a64534e66bcbb013de1c4dcf72025-02-03T01:22:04ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/780387780387Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion TermsWenxue Li0Tianrui Chen1Ke Wang2Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaThis paper is concerned with the stability analysis issue for coupled systems on networks with mixed delays and reaction-diffusion terms (CSNMRs). By employing Lyapunov method and Kirchhoff's Theorem in graph theory, a systematic method is proposed to guarantee exponential stability of CSNMRs. Two different kinds of sufficient criteria are derived in the form of Lyapunov function and coefficients of the system, respectively. Finally, a numerical example is given to show the effectiveness of the proposed criteria.http://dx.doi.org/10.1155/2014/780387 |
| spellingShingle | Wenxue Li Tianrui Chen Ke Wang Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms Abstract and Applied Analysis |
| title | Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms |
| title_full | Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms |
| title_fullStr | Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms |
| title_full_unstemmed | Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms |
| title_short | Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms |
| title_sort | exponential stability of coupled systems on networks with mixed delays and reaction diffusion terms |
| url | http://dx.doi.org/10.1155/2014/780387 |
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