| 分段连续型泛函多延迟微分方程θ-方法数值稳定性 |
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| 引用本文： | 滕宇,段广仁,刘明珠.分段连续型泛函多延迟微分方程θ-方法数值稳定性[J].系统仿真学报,2004,16(12):2677-2679. |
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| 作者姓名： | 滕宇 段广仁 刘明珠 |
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| 作者单位： | 1. 哈尔滨工业大学控制理论与制导技术研究中心,哈尔滨,150001
2. 哈尔滨工业大学数学系,哈尔滨,150001 |
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| 基金项目： | 国家杰出青年基金(69925308)，国家自然科学基金(10271036) |
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| 摘 要： | 针对自变量分段连续型泛函多延迟微分方程给出了相对于任意参数t,(0,)t ィ馕鼋饨ソ榷ǖ奶跫2⑻致哿擞τ孟咝詑-方法和单腿q-方法在该条件下渐近稳定的充分必要条件和q-方法的收敛阶。
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| 关 键 词： | 分段连续 延迟微分方程 渐近稳定性 q-方法 |
| 文章编号： | 1004-731X(2004)12-2677-03 |
| 修稿时间： | 2003年11月21 |
The Numerical Stability of θ-Methods of the Functional Multi-delay Differential Equations with Piecewise Continuous Arguments |
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| TENG Yu,DUAN Guang-ren,LIU Ming-zhu.The Numerical Stability of θ-Methods of the Functional Multi-delay Differential Equations with Piecewise Continuous Arguments[J].Journal of System Simulation,2004,16(12):2677-2679. |
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| Authors: | TENG Yu DUAN Guang-ren LIU Ming-zhu |
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| Institution: | TENG Yu1,DUAN Guang-ren1,LIU Ming-zhu2 |
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| Abstract: | For the functional multi-delay differential equations with piecewise continuous arguments (EPCA), the theoretical stability condition which is independent ont,(0,)t ? is defined. By applying the linear q-method and the one-leg q-method to the functional EPCA with the multi-delay, the order of convergence and the necessary and sufficient conditions under which the numerical methods replicate the stability behavior of the functional EPCA itself are provided. |
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| Keywords: | piecewise continuous delay differential equation asymptotic stability q-method |
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