| 线性时滞动力学问题的精细积分解法 |
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| 引用本文： | 田象滔,任传波.线性时滞动力学问题的精细积分解法[J].山东理工大学学报,2006,20(2):53-56. |
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| 作者姓名： | 田象滔 任传波 |
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| 作者单位： | 山东理工大学交通与车辆工程学院 山东淄博255049 |
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| 基金项目： | 教育部科学技术研究项目 |
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| 摘 要： | 具有时滞的动力系统广泛存在于各工程领域.文中给出了一种新的解决时滞系统动力学的方法———精细积分法,把时滞项看作激励项进行处理,通过对时滞项积分上下限的讨论,采用了线性插值和Romberg积分法对其进行处理.同其它一些方法相比,用精细积分法解决时滞问题具有过程简单、结果精确的优点.
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| 关 键 词： | 精细积分 时滞 动力学 Romberg积分法 |
| 文章编号： | 1672-6197(2006)02-0053-04 |
| 收稿时间： | 06 7 2005 12:00AM |
| 修稿时间： | 2005年6月7日 |
Solution of linear time-delay systems by precise integral |
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| TIAN Xiang-tao,REN Chuan-bo.Solution of linear time-delay systems by precise integral[J].Journal of Shandong University of Technology:Science and Technology,2006,20(2):53-56. |
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| Authors: | TIAN Xiang-tao REN Chuan-bo |
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| Institution: | School of Traffic and Vehicle Engineering, Shandong University of Technology, Zibo 255049, China |
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| Abstract: | The dynamic system involving time delays is an important dynamic system in various engineering fields.A new method for finding the solution of time-delay systems using precise integral is proposed.By treating the delay term as power term and discussing the integral limitations,it is solved by linear interpolation and Romberg integral.Comparing with other solutions reveals that the proposed method is of very simple and of high accuracy. |
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| Keywords: | precise integral time-delay dynamics Romberg integral |
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