| 延迟微分代数系统的隐式中点法稳定性判据 |
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| 引用本文： | 张诚坚,程纬.延迟微分代数系统的隐式中点法稳定性判据[J].华中科技大学学报(自然科学版),2000,28(12):112-113. |
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| 作者姓名： | 张诚坚 程纬 |
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| 作者单位： | 张诚坚（华中理工大学数学系）;程纬（湖南大学土木工程系） |
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| 基金项目： | 国家自然科学基金资助项目(69974018)． |
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| 摘 要： | 延迟微分代数系统广泛出现于各工程领域．针对一类刚性延迟微分代数系统，给出了隐式中点法的整体与渐近稳定性判据，其判据基于系统的非经典李普希滋条件．
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| 关 键 词： | 隐式中点法 延迟微分代数系统 稳定性 |
| 文章编号： | 1000-8616(2000)12-0112-02 |
| 修稿时间： | 2000年7月4日 |
The Stability Criteria of Implicit Midpoint Rule for Delay Differential-Algebraic Systems |
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| Zhang Chengjian Assoc. Prof, Dept. of Math.,HUST,Wuhan ,China.Cheng Wei.The Stability Criteria of Implicit Midpoint Rule for Delay Differential-Algebraic Systems[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2000,28(12):112-113. |
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| Authors: | Zhang Chengjian Assoc Prof Dept of Math HUST Wuhan ChinaCheng Wei |
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| Institution: | Zhang Chengjian Assoc. Prof, Dept. of Math.,HUST,Wuhan 430074,China.Cheng Wei |
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| Abstract: | Delay Differential algebraic Systems (DDAEs) have been seen frequently in the circuit analysis, real time simulation of automatic control systems and the other engineering fields. When the classical Lipschitz constants of the systems are very large, these systems necessarily suffer stiffness. There are only few researches on the numerical solutions of DDAEs, mainly devoting to linear systems and non stiff problems. The criteria of global and asymptotic stability of midpointrule for a class of nonlinear stiff DDAEs with non classical Lipschitz condition are given. |
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| Keywords: | implicit midpoint rule delay differential equation stability |
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