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一类非线性T-S模糊系统的通用逼近性 被引量:7

Universal approximation of a kind of nonlinear T-S fuzzy systems
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摘要 作为模糊系统理论研究和实际应用的基础,对线性T-S模糊系统通用逼近性的研究已经取得了很大的进展,但对非线性T-S模糊系统的研究却很少。本文将对一类非线性T-S模糊系统的非线性逼近能力进行研究,证明这种模糊系统在输入模糊子集为高斯型隶属函数的情况下,具有通用逼近性。 As the basis of the theoretical research on fuzzy systems, we have got a lot of progress in linear T-S fuzzy systems, but there are very few researches on nonlinear T-S fuzzy systems. In this paper, we will study the nonlinear approximation of a kind of nonlinear T-S fuzzy system, and prove that when the fuzzy sets are Gaussian membership functions, it has universal approximation.
出处 《自动化与仪器仪表》 2007年第1期8-10,15,共4页 Automation & Instrumentation
基金 燕山大学博士基金资助课题(B111)
关键词 T-S模糊系统 Stone-Weirstrass定理 通用逼近性 A kind of nonlinear T-S fuzzy system Stone-Weirstrass theorem universal approx-imation
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参考文献8

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