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| 非线性非自治系统的等度渐近稳定性 | |
| 引用本文： | 蹇继贵,廖晓昕. 非线性非自治系统的等度渐近稳定性[J]. 数学杂志, 2006, 26(4): 457-461 |
| 作者姓名： | 蹇继贵 廖晓昕 |
| 作者单位： | 1. 三峡大学理学院,湖北,宜昌,443002 2. 华中科技大学控制科学与工程系,湖北,武汉,430074 |
| 基金项目： | 国家自然科学基金资助项目(No.60274007,No.60474011) |
| 摘 要： | 研究了非线性非自治系统平凡解的等度渐近稳定性。利用一个或两个Lyapunov函数得到了保证所给系统的平凡解等度渐近稳定性的几个充分判据,最后给出两个例子说明本文结果. |
| 关 键 词： | 非线性非自治系统 等度渐近稳定 Lyapunov函数法 |
| 文章编号： | 0255-7797（2006）04-0457-05 |
| 收稿时间： | 2004-04-19 |
| 修稿时间： | 2004-04-19 |
ON THE EQUI-ASYMPTOTIC STABLILITY OF NONLINEAR AND NON-AUTONOMOUS SYSTEM |
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| JIAN Ji-gui,LIAO Xiao-xin. ON THE EQUI-ASYMPTOTIC STABLILITY OF NONLINEAR AND NON-AUTONOMOUS SYSTEM[J]. Journal of Mathematics, 2006, 26(4): 457-461 | |
| Authors: | JIAN Ji-gui LIAO Xiao-xin |
| Affiliation: | 1. College of Science, China Three Goreges University, Yichang 443002,China;2. Dept. of Control Science and Engineering, Huazhong Uni Science and Technology, Wuhan 430074, China |
| Abstract: | In this paper the problem of equi-asymptotic stability is considered for nonlinear and non-autonomous systems. A set of sufficient conditions of equi-asymptotic stability is given by utilizing one Lyapunov function or two Lyapunov functions. Finally, two numerical examples are also given to illustrate our results. |
| Keywords: | nonlinear and non-autonomous system equi-asymptotic stability Lyapunov function method |
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