| 多滞后中立型非线性控制系统的镇定 |
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| 引用本文： | 牟丽君,高存臣. 多滞后中立型非线性控制系统的镇定[J]. 中国海洋大学学报(自然科学版), 2005, 35(5): 763-767 |
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| 作者姓名： | 牟丽君 高存臣 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛,266071;中国海洋大学数学系,山东,青岛,266071 |
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| 基金项目： | 国家自然科学基金（69974032）;青岛市自然科学基金（04-2-JZ-98）资助;致谢：作者非常感谢审稿者所提出的宝贵意见. |
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| 摘 要： | 应用Lyapunov等价法讨论了多滞后中立型非线性定常控制系统与不带滞后的线性定常控制系统的镇定问题.应用Lyapunov稳定性理论与Krosovskii最大最小特征值定理,得到了多滞后中立型非线性定常控制系统渐近稳定的结论,该结论是对前人结果的进一步扩展,并在非线性项的限制下给出了时滞的界限.最后,将上述结论推广到了多滞后中立型非线性时变控制系统.
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| 关 键 词： | 中立型 镇定 非线性 滞后 V-函数 |
| 文章编号： | 1672-5174(2005)05-763-05 |
| 收稿时间： | 2004-11-30 |
| 修稿时间： | 2005-08-30 |
On the Stabilization of Nonlinear Neutral Multi-Delay Control Systems |
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| MU Li-Jun,GAO Cun-Chen. On the Stabilization of Nonlinear Neutral Multi-Delay Control Systems[J]. Periodical of Ocean University of China, 2005, 35(5): 763-767 |
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| Authors: | MU Li-Jun GAO Cun-Chen |
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| Affiliation: | Department of Mathematics, Ocean University of China, Qingdao 266071, China |
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| Abstract: | By using the Lyapunov stabilization equivalence method, the stabilization problem of nonlinear neutral time-invariant multi-delay control systems and nonlinear time-invariant control systems without time-delay is discussed. By using Lyapunov stability theory and Krosovskki's maximum and minimum characteristic value theorem, the conclusion concerning asymptotic stability is obtained for the above nonlinear neutral time-invariant control systems with multi-delay; this conclusion is an expansion of a previous conclusion obtained by other researchers. At the same time, the estimated bound on the time-delay is given under some restriction condition on the nonlinear term. Finally, the above conclusion is extended to nonlinear neutral time-varying control systems with multi-delay. |
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| Keywords: | neutral stabilization nonlinear time-delay V-function |
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