| 自治Lienard系统边缘线性化简化HX表示 |
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| 引用本文： | 杨文光,韩元良. 自治Lienard系统边缘线性化简化HX表示[J]. 华北科技学院学报, 2014, 0(5): 66-69 |
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| 作者姓名： | 杨文光 韩元良 |
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| 作者单位： | 华北科技学院基础部,北京东燕郊101601 |
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| 基金项目： | 河北省自然科学基金资助项目（E2012508002）;河北省高等学校科学技术研究项目（QN20132005）;中央高校基本科研业务费资助项目（2142013021）;华北科技学院高等教育研究资助课题（HKJYZD201212,HKYJZD201336） |
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| 摘 要： | 通过应用边缘线性化模糊推理建模方法,求解得到了自治Lienard系统的简化HX表示。利用模糊系统的插值机理得到的简化HX表示,把模糊规则转化为可逐段求解的常系数线性微分方程。相比于已有文献方法,新方法的计算时空复杂度得到极大简化。最后结合仿真实验,验证了简化方法的有效性,说明随着分段数的增加得到更高的逼近精度,而运行时间却很短。
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| 关 键 词： | 边缘线性化 自治Lienard系统 线性微分方程 |
Simplified HX Representation of Autonomous Lienard Systems Based on Marginal Linearization |
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| YANG Wen-guang,HAN Yuan-liang. Simplified HX Representation of Autonomous Lienard Systems Based on Marginal Linearization[J]. Journal of North China Institute of Science and Technology, 2014, 0(5): 66-69 |
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| Authors: | YANG Wen-guang HAN Yuan-liang |
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| Affiliation: | ( Department of Basic Course, North China Institute of Science and Technology, Yanjiao, 101601, China) |
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| Abstract: | By applying the fuzzy modeling of marginal linearization , a simplified HX representation for autono-mous Lienard system is proposed.The simplified HX representation based on the interpolation mechanism of fuzzy system transfers the fuzzy rules into piecewise constant coefficient linear differential equation .Compared to the existing literature methods , the novel method of time complexity and space complexity is greatly simpli-fied.Finally, the simulation experiments for Lienard system verify the validity of the simplified method.The results show that it has higher approximation precision , and the running time is very short. |
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| Keywords: | marginal linearization autonomous Lienard systems linear differential equation |
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