| 微分代数区间动力系统的稳定性与平稳振荡 |
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| 引用本文： | 龚文振.微分代数区间动力系统的稳定性与平稳振荡[J].桂林工学院学报,2006,26(2):295-297. |
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| 作者姓名： | 龚文振 |
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| 作者单位： | 玉林师范学院,数学与计算机科学系,广西,玉林,537000 |
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| 基金项目： | 国家自然科学基金资助项目（60564001）;广西自然科学基金资助项目（桂科回0448001）. |
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| 摘 要： | 研究了连续微分代数区间动力系统的稳定性与周期解的存在、唯一稳定性问题.利用广义Lyapunov方法给出了其稳定性的充分条件,同时讨论了其解的有界性.在此基础上,给出了其周期解的存在性、唯一性和稳定性的保证性条件.提供的例子说明,文中方法具有可行性.
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| 关 键 词： | 微分代数区间系统 区间矩阵 稳定性 平稳振荡 |
| 文章编号： | 1006-544X(2006)02-0295-03 |
| 收稿时间： | 2006-01-09 |
| 修稿时间： | 2006年1月9日 |
Stability and stationary oscillation of differential-algebraic interval systems |
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| GONG Wen-zhen.Stability and stationary oscillation of differential-algebraic interval systems[J].Journal of Guilin University of Technology,2006,26(2):295-297. |
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| Authors: | GONG Wen-zhen |
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| Affiliation: | Department of Mathematics and Computer Science , Yulin Normal University, Yulin 537000, China |
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| Abstract: | The problems of stability and stationary oscillation were discussed about the differential-algebraic interval systems.The method of Lyapunov function was employed to introduce the sufficient condition for stability of differential-algebraic systems and to discuss the boundary of the solution to differential-algebraic systems.From the application it is found that there is a unique stable periodic solution to the differential-algebraic system.One example is put forward to illustrate the results. |
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| Keywords: | differential-algebraic interval systems interval matrices stability stationary oscillation |
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