| 离散广义系统的平稳振荡 |
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| 引用本文： | 梁家荣,刘永清. 离散广义系统的平稳振荡[J]. 数学学报, 2002, 45(3): 551-556. DOI: cnki:ISSN:0583-1431.0.2002-03-016 |
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| 作者姓名： | 梁家荣 刘永清 |
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| 作者单位： | 1. 广西大学计算机与信息工程系,广西,南宁,530004
2. 华南理工大学自动控制工程系,广东,广州,510641 |
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| 基金项目： | 国家自然科学基金资助项目（60064002） |
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| 摘 要： | 为了研究离散广义系统的平稳振荡，本文利用广义Ｌｙａｐｕｎｏｖ函数方法，给出了一个ｍ周期解存在的充要条件，得出了离散广义系统的周期解的存在性、唯一性、稳定性的有关定理，进而研究具有某种分解的复杂离散广义系统的平稳振荡问题，方法简单易行．
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| 关 键 词： | 离散广义系统 周期解 Lyapunov函数 平稳振荡 |
| 文章编号： | 0583-1431(2002)03-0551-06 |
| 修稿时间： | 1999-04-14 |
Harmoning Oscillation to Discrete Singular Systems |
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| LIANG Jia Rong. Harmoning Oscillation to Discrete Singular Systems[J]. Acta Mathematica Sinica, 2002, 45(3): 551-556. DOI: cnki:ISSN:0583-1431.0.2002-03-016 |
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| Authors: | LIANG Jia Rong |
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| Affiliation: | LIANG Jia Rong (College of Computer and Information Engineering, Guangxi University, Nanning 530004, P. R. China) LIU YOng Qing (Department of Automatic, South China University of Technology, Guangzhou 510641, P. R. China) |
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| Abstract: | In this paper, the method of singular Lyapunov's function is employed to investigate the harmonic oscillation of discrete singular systems. First of all, a sufficient and necessary condition for existing of m-periodic solution is presented. Secondly by the sufficient and necessary condition, the theories for existing, only, stability of discrete singular system are given. More the problem of harmonic oscillation to discrete singular systems with a type decomposing is studied. |
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| Keywords: | Discrete singular systems Periodic solutions Lyapunov function Harmonic oscillation |
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