| 模糊线性系统的扰动分析 |
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| 引用本文： | 田增锋.模糊线性系统的扰动分析[J].模糊系统与数学,2008,22(6). |
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| 作者姓名： | 田增锋 |
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| 作者单位： | 浙江万里学院,基础学院,综合部,浙江,宁波,315101 |
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| 摘 要： | 使用谱范数分析了模糊线性系统在三种情形下的扰动: (1)右端模糊向量有扰动, 系数矩阵不变; (2)系数矩阵有扰动,右端模糊向量不变; (3)系数矩阵和右端模糊向量都有扰动,并通过数值实例验证给出的扰动界的估计.
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| 关 键 词： | 扰动分析 模糊线性系统 谱范数 |
Perturbation Analysis of Fuzzy Linear Systems |
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| TIAN Zeng-feng.Perturbation Analysis of Fuzzy Linear Systems[J].Fuzzy Systems and Mathematics,2008,22(6). |
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| Authors: | TIAN Zeng-feng |
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| Institution: | TIAN Zeng-feng (Junior College,Zhejiang Wanli University,Ningbo 315101,China) |
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| Abstract: | If the coefficient matrix or right hand side vector of a fuzzy linear system is perturbed,then the solution will be changed as well.There are three cases that perturbations happen:(a) the right hand side is perturbed while the coefficient matrix remains unchanged;(b) the coefficients matrix is perturbed while the right hand side remains unchanged,and(c) both the coefficient matrix and right hand side are perturbed.For all of the three cases,error bounds of the solutions are derived by using spectral norm,re... |
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| Keywords: | Perturbation analysis Fuzzy linear system Spectral norm |
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