A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems
The eigenvalues and the stability of a singular neutral differential system with single delay are considered. Firstly, by applying the matrix pencil and the linear operator methods, new algebraic criteria for the imaginary axis eigenvalue are derived. Second, practical checkable criteria for the asy...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/749847 |
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| _version_ | 1832552590605287424 |
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| author | Jian Ma Baodong Zheng Chunrui Zhang |
| author_facet | Jian Ma Baodong Zheng Chunrui Zhang |
| author_sort | Jian Ma |
| collection | DOAJ |
| description | The eigenvalues and the stability of a singular neutral differential
system with single delay are considered. Firstly, by applying the matrix pencil
and the linear operator methods, new algebraic criteria for the imaginary axis
eigenvalue are derived. Second, practical checkable criteria for the asymptotic
stability are introduced. |
| format | Article |
| id | doaj-art-c0b44b4d4fc343fdb713436854b323cf |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c0b44b4d4fc343fdb713436854b323cf2025-02-03T05:58:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/749847749847A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential SystemsJian Ma0Baodong Zheng1Chunrui Zhang2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Northeast Forestry University, Harbin 150040, ChinaThe eigenvalues and the stability of a singular neutral differential system with single delay are considered. Firstly, by applying the matrix pencil and the linear operator methods, new algebraic criteria for the imaginary axis eigenvalue are derived. Second, practical checkable criteria for the asymptotic stability are introduced.http://dx.doi.org/10.1155/2012/749847 |
| spellingShingle | Jian Ma Baodong Zheng Chunrui Zhang A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems Journal of Applied Mathematics |
| title | A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems |
| title_full | A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems |
| title_fullStr | A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems |
| title_full_unstemmed | A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems |
| title_short | A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems |
| title_sort | matrix method for determining eigenvalues and stability of singular neutral delay differential systems |
| url | http://dx.doi.org/10.1155/2012/749847 |
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