| 线性模糊微分系统的同伦摄动法 |
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| 引用本文： | 王磊,郭嗣琮. 线性模糊微分系统的同伦摄动法[J]. 计算机工程与应用, 2012, 48(32): 30-32,207 |
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| 作者姓名： | 王磊 郭嗣琮 |
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| 作者单位： | 1. 辽宁工程技术大学基础教学部,辽宁葫芦岛125105;辽宁工程技术大学理学院,辽宁阜新123000
2. 辽宁工程技术大学理学院,辽宁阜新,123000 |
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| 基金项目： | 高等学校博士点学科点专项科研基金资助项目（No.20102121110002）. |
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| 摘 要： | 利用模糊结构元方法,将线性模糊微分系统转换成同解的线性确定微分系统。采用同伦摄动法给出线性确定微分系统的近似解,进而给出原模糊微分系统的近似解。给出了具体算例。
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| 关 键 词： | 线性模糊微分系统 模糊结构元方法 同伦摄动法 近似解 |
Homotopy perturbation method for linear fuzzy differential systems. |
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| WANG Lei , GUO Sicong. Homotopy perturbation method for linear fuzzy differential systems.[J]. Computer Engineering and Applications, 2012, 48(32): 30-32,207 |
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| Authors: | WANG Lei GUO Sicong |
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| Affiliation: | 1 .Department of Basic Teaching, Liaoning Technical University, Huludao, Liaoning 125105, China 2.College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, China |
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| Abstract: | The linear fuzzy differential systems can be translated into equivalent crisp linear differential systems by utilizing fuzzy structured element method. The approximate solutions of crisp linear differential systems are given by utilizing homotopy perturbation method and the approximate solutions of linear fuzzy differential systems are ob- tained, one illustrated example is provided. |
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| Keywords: | linear fuzzy differential systems fuzzy structured element method homotopy perturbation method ap- proximate solutions |
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