| 一类非线性切换系统的稳定域 |
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| 引用本文： | 李浚圣,原忠虎,李建华,高立群.一类非线性切换系统的稳定域[J].东北大学学报(自然科学版),2006,27(2):127-130. |
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| 作者姓名： | 李浚圣 原忠虎 李建华 高立群 |
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| 作者单位： | 1. 东北大学,信息科学与工程学院,辽宁,沈阳,110004
2. 沈阳大学,信息工程学院,辽宁,沈阳,110044 |
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| 基金项目： | 国家自然科学基金资助项目(60274009)，沈阳市科技计划项目(10220360-1-07) |
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| 摘 要： | 在生物学超循环(Hypercycle)系统的基础上,提出了非线性循环系统和非线性循环切换系统的概念,并建立了数学模型,这类系统具有广泛的实际背景.分别研究了非线性循环系统和非线性循环切换系统的稳定域问题,并通过系统循环矩阵的特征值,给出了非线性循环切换系统在任意切换律和确定切换律下的稳定域.仿真实验进一步检验了结论的正确性.
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| 关 键 词： | 切换系统 非线性系统 循环系统 切换律 稳定域 |
| 文章编号： | 1005-3026（2006）02-0127-04 |
| 收稿时间： | 2005-04-01 |
| 修稿时间： | 2005年4月1日 |
Stability Domain for a Class of Nonlinear Switched Systems |
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| LI Jun-sheng,YUAN Zhong-hu,LI Jian-hua,GAO Li-qun.Stability Domain for a Class of Nonlinear Switched Systems[J].Journal of Northeastern University(Natural Science),2006,27(2):127-130. |
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| Authors: | LI Jun-sheng YUAN Zhong-hu LI Jian-hua GAO Li-qun |
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| Institution: | 1. School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; 2. School of Information, Shenyang University, Shenyang 110044, China |
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| Abstract: | Proposes the concepts of nonlinear circulant system and nonlinear circulant switched system and develops correspondingly the mathematical models,which are extended from Hypercycle as a biological.The two kinds of systems thus have a wide background in practice.The stability domain of both systems proposed are studied separately,and the stability domain of the nonlinear circulant switched system in accordance to arbitrary and certain switching laws is given in terms of the eigenvalues of circulant system matrices.Simulation has verified the results. |
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| Keywords: | switched system nonlinear system circulant system switching law stability domain |
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