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Stability analysis of linear fractional differential system with multiple time delays
文献类型：期刊论文
| 作者 | Deng, Weihua; Li, Changpin; Lu, Jinhu |
| 刊名 | NONLINEAR DYNAMICS
 |
| 出版日期 | 2007-06-01 |
| 卷号 | 48期号:4页码:409-416 |
| 关键词 | delay Duffing oscillator linear fractional differential system stability synchronization |
| ISSN号 | 0924-090X |
| DOI | 10.1007/s11071-006-9094-0 |
| 英文摘要 | In this paper, we study the stability of n-dimensional linear fractional differential equation with time delays, where the delay matrix is defined in (R+)(nxn). By using the Laplace transform, we introduce a characteristic equation for the above system with multiple time delays. We discover that if all roots of the characteristic equation have negative parts, then the equilibrium of the above linear system with fractional order is Lyapunov globally asymptotical stable if the equilibrium exist that is almost the same as that of classical differential equations. As its an application, we apply our theorem to the delayed system in one spatial dimension studied by Chen and Moore [Nonlinear Dynamics 29, 2002, 191] and determine the asymptotically stable region of the system. We also deal with synchronization between the coupled Duffing oscillators with time delays by the linear feedback control method and the aid of our theorem, where the domain of the control-synchronization parameters is determined. |
| WOS研究方向 | Engineering ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000244837200005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4742]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Changpin |
| 作者单位 | 1.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Deng, Weihua,Li, Changpin,Lu, Jinhu. Stability analysis of linear fractional differential system with multiple time delays[J]. NONLINEAR DYNAMICS,2007,48(4):409-416. |
| APA | Deng, Weihua,Li, Changpin,&Lu, Jinhu.(2007).Stability analysis of linear fractional differential system with multiple time delays.NONLINEAR DYNAMICS,48(4),409-416. |
| MLA | Deng, Weihua,et al."Stability analysis of linear fractional differential system with multiple time delays".NONLINEAR DYNAMICS 48.4(2007):409-416. |
入库方式： OAI收割
来源：数学与系统科学研究院
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