摘要: 模糊系统能否逼近任意连续实函数是其用于系统辨识和控制的前提条件.本文给出了模糊系统的模糊基函数(FBF)展开式,并在数学上证明了Stone Weierstrass定理意义上FBF展开式的通用逼近性.
[1] 张乃尧,阎平凡编著.神经网络与模糊控制[M]. 清华大学出版社, 1998[1] Wang L X,Mendel J M.Fuzzy basis functions, universal approximation, and orthogonal least squares learning. IEEE Transactions on Neural Networks . 1992 |
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