| 引用本文: | 曾志刚,廖晓昕.具输入信号的非线性系统的稳定性[J].控制理论与应用,2003,20(4):633~636.[点击复制] |
| ZENG Zhi-gang,LIAO Xiao-xin.Stability for nonlinear systems with input signal[J].Control Theory and Technology,2003,20(4):633~636.[点击复制] |
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| 具输入信号的非线性系统的稳定性 |
| Stability for nonlinear systems with input signal |
| 摘要点击 1516 全文点击 834 投稿时间：2001-03-26 修订日期：2002-10-31 |
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| DOI编号 10.7641/j.issn.1000-8152.2003.4.035 |
| 2003,20(4):633-636 |
| 中文关键词 稳定性 线性化 输入向量 状态向量 |
| 英文关键词 stability linearization input vector state vector |
| 基金项目 国家自然科学基金(60274007); 高校博士点专项基金(20010487005); 湖北省教育厅重大科研项目(2001Z06003)资助项目. |
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| 中文摘要 |
| 考虑了具有缓变输入信号的非线性动力系统的一类平衡点集合的稳定性. 采用不同于相应文献的分析技巧, 充分利用非线性系统右端项提供的信息, 在较相应文献输入信号更弱的假设下, 得到了由输入信号产生的轨线充分接近系统相应解的一些充分条件, 放宽了该类控制系统设计中对输入信号的限制. 并举实例说明结论的有效性. |
| 英文摘要 |
| Stability for a certain family of equilibrium of a nonlinear system with varying input signals was considered. Using analytic technique, which was different from the existing relevant methods in the literature, some sufficient conditions had obtained to guarantee that the trajectory, which was derived by input signals, was convergent to the relevant solution of systems under more general hypothesis and information of right term of the nonlinear systems. Here a more general class of input signal in nonlinear control systems was designed. An example was given to illustrate the new results. |