A Plausible Approximation Method for Linear Systems and its Application for the Design of Low-Order Controllers

1992 ◽  
Author(s):  
U.A. Brunner ◽  
S. Balemi
Keyword(s):  
Linear Systems ◽  
Approximation Method ◽  
Low Order

scholarly journals An Approximation Method of Bézier Curve

2017 ◽  
Vol 10 (4) ◽  
pp. 67
Author(s):  
Zhi Wu ◽  
Chu yi Song ◽  
De xi Bao
Keyword(s):  
Banach Space ◽  
Linear Combination ◽  
Linear Space ◽  
Approximation Method ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Base Function ◽  
Power Base ◽  
Approximation Element ◽  
Low Order

It is proved that the linear space constructed by power base is a banach space under 2-norm by using approximation method. For the Bézier curve--the elements in banach space, the linear combination of the low-order S power base is used to approximate optimal the high-order Bernstein base function. The original Bézier curve is instituted by the linear combination of low-order S power base and the optimal approximation element of the original Bézier curve is obtained.

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