Analysis of multiplicity of Hankel singular values of control systems

2015 ◽  
Vol 76 (2) ◽  
pp. 205-218 ◽  
Author(s):  
L. A. Mironovskii ◽  
T. N. Solov’eva
Keyword(s):  
Control Systems ◽  
Singular Values ◽  
Hankel Singular Values

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].

Cascading With Inner Systems: Hankel Singular Values and Characteristic Values

2020 ◽  
Vol 65 (2) ◽  
pp. 727-732
Author(s):  
Arturo Buscarino ◽  
Luigi Fortuna ◽  
Mattia Frasca ◽  
Giuseppe Nunnari
Keyword(s):  
Singular Values ◽  
Hankel Singular Values ◽  
Characteristic Values

scholarly journals On the decay rate of Hankel singular values and related issues

2002 ◽  
Vol 46 (5) ◽  
pp. 323-342 ◽  
Author(s):  
A.C. Antoulas ◽  
D.C. Sorensen ◽  
Y. Zhou
Keyword(s):  
Decay Rate ◽  
Singular Values ◽  
Hankel Singular Values
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