Hankel Singular Values of Commensurate Delay Systems

I Cheol HWANG; Yoshito OHTA

doi:10.9746/sicetr1965.32.188

Transactions of the Society of Instrument and Control Engineers

Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654

Hankel Singular Values of Commensurate Delay Systems

I Cheol HWANG, Yoshito OHTA

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Keywords: commensurate input delay system, Gramian, Hankel singular value and vector, integral operator with semi-separable kernel function, transcendental equation

JOURNAL FREE ACCESS

1996 Volume 32 Issue 2 Pages 188-196

DOI https://doi.org/10.9746/sicetr1965.32.188

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Abstract

This paper establishes a method to calculate the Hankel singular values of systems with commensurate delays in control, using the property that the Gramian is described as an integral operator with semiseparable kernel, that is, the sum of a Volterra operator and a finite-rank one. As a result, the Hankel singular values are obtained by solving a transcendental equation.

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