[1]辛云冰.三维仿射非线性临界动态系统的局部解析镇定[J].集美大学学报(自然科学版),2016,21(6):460-465.
XIN Yun-bing.Local Asymptotic Stabilizability of 3-dimension Nonlinear Analytic Dynamic Systems[J].Journal of Jimei University,2016,21(6):460-465.
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三维仿射非线性临界动态系统的局部解析镇定(PDF)
《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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第21卷
- 期数:
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2016年第6期
- 页码:
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460-465
- 栏目:
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数理科学与信息工程
- 出版日期:
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2016-12-28
文章信息/Info
- Title:
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Local Asymptotic Stabilizability of 3-dimension Nonlinear Analytic Dynamic Systems
- 作者:
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辛云冰
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(集美大学理学院,福建 厦门 361021)
- Author(s):
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XIN Yun-bing
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(School of Science,Jimei University,Xiamen 361021,China)
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- 关键词:
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非线性系统; 临界条件; 李雅普诺夫V函数; 局部渐近镇定
- Keywords:
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nonlinear system; critical condition; Lyapunov's V-function; local asymptotic stabilizability
- 分类号:
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- DOI:
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- 文献标志码:
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A
- 摘要:
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针对三维仿射非线性解析动态系统在临界情形假设下局部渐近镇定性,假设三维系统在解析的情况下,给出了三维系统如何构造V函数(李雅普诺夫函数),并确定V函数和反馈控制函数的一般方法,得出了判别的临界解析动态系统局部渐近镇定的充分条件。
- Abstract:
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This paper studies the local asymptotic stabilizability of the 3-dimension nonlinear analytic dynamic system,which is assumed to be a critical situation.Assume that the 3-dimension system is under the resolved situation,the study inferred the general method to construct the V-function(Lyapunov's function) and confirm the V-function and feedback control function in 3-dimension system.This study gives out the sufficient condition to distinguish the local asymptotic stabilizability in critical analytic dynamic system.
参考文献/References:
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更新日期/Last Update:
2017-02-21