Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems
We investigate the delay-independently asymptotic stability of fractional-order linear singular delay differential systems. Based on the algebraic approach, the sufficient conditions are presented to ensure the asymptotic stability for any delay parameter. By applying the stability criteria, one can...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/850279 |
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| _version_ | 1849305294773944320 |
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| author | Hai Zhang Daiyong Wu Jinde Cao Hui Zhang |
| author_facet | Hai Zhang Daiyong Wu Jinde Cao Hui Zhang |
| author_sort | Hai Zhang |
| collection | DOAJ |
| description | We investigate the delay-independently asymptotic stability of fractional-order linear singular delay differential systems. Based on the algebraic approach, the sufficient conditions are presented to ensure the asymptotic stability for any delay parameter. By applying the stability criteria, one can avoid solving the roots of transcendental equations. An example is also provided to illustrate the effectiveness and applicability of the theoretical results. |
| format | Article |
| id | doaj-art-07e7f171e75f4a92834df55eb3845bf8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-07e7f171e75f4a92834df55eb3845bf82025-08-20T03:55:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/850279850279Stability Analysis for Fractional-Order Linear Singular Delay Differential SystemsHai Zhang0Daiyong Wu1Jinde Cao2Hui Zhang3Department of Mathematics, Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, Jiangsu 210096, ChinaSchool of Mathematics and Computation Science, Anqing Normal University, Anqing, Anhui 246133, ChinaDepartment of Mathematics, Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, Jiangsu 210096, ChinaSchool of Mathematics and Computation Science, Anqing Normal University, Anqing, Anhui 246133, ChinaWe investigate the delay-independently asymptotic stability of fractional-order linear singular delay differential systems. Based on the algebraic approach, the sufficient conditions are presented to ensure the asymptotic stability for any delay parameter. By applying the stability criteria, one can avoid solving the roots of transcendental equations. An example is also provided to illustrate the effectiveness and applicability of the theoretical results.http://dx.doi.org/10.1155/2014/850279 |
| spellingShingle | Hai Zhang Daiyong Wu Jinde Cao Hui Zhang Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems Discrete Dynamics in Nature and Society |
| title | Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems |
| title_full | Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems |
| title_fullStr | Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems |
| title_full_unstemmed | Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems |
| title_short | Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems |
| title_sort | stability analysis for fractional order linear singular delay differential systems |
| url | http://dx.doi.org/10.1155/2014/850279 |
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