Super-optimal Hankel-norm approximations

2007 ◽  
pp. 72-81
Author(s):  
Fang-Bo Yeh ◽  
Lin-Fang Wei
Keyword(s):  
Hankel Norm

A Hankel-norm Approach to Approximate Recursive Estimation

1988 ◽  
Vol 21 (9) ◽  
pp. 689-694
Author(s):  
A. Gombani ◽  
M. Pavon
Keyword(s):  
Recursive Estimation ◽  
Hankel Norm

Estimation of the Hankel Singular Values of Fractional-Order Systems

2009 ◽  
Author(s):  
Jay L. Adams ◽  
Robert J. Veillette ◽  
Tom T. Hartley
Keyword(s):  
Fractional Order ◽  
Dimensional Space ◽  
Ritz Method ◽  
Singular Values ◽  
Finite Dimensional Space ◽  
Fractional Order Systems ◽  
Norm Estimates ◽  
Finite Dimensional ◽  
Hankel Singular Values ◽  
Hankel Norm

This paper applies the Rayleigh-Ritz method to approximating the Hankel singular values of fractional-order systems. The algorithm is presented, and estimates of the first ten Hankel singular values of G(s) = 1/(sq+1) for several values of q ∈ (0, 1] are given. The estimates are computed by restricting the operator domain to a finite-dimensional space. The Hankel-norm estimates are found to be within 15% of the actual values for all q ∈ (0, 1].

Optimal Approximate Model Identification in the Hankel Norm

1994 ◽  
Vol 27 (8) ◽  
pp. 1159-1163 ◽  
Author(s):  
S. Weiland ◽  
A.A. Stoorvogel
Keyword(s):  
Model Identification ◽  
Approximate Model ◽  
Hankel Norm
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