Hankel Singular Values of Non-Commensurate Input Delay Systems

Abstract

This paper deals with a problem of computing the Hankel singular values of systems with two-point non-commensurate delays in control. It is explicitly shown that the Gramian can be described as an integral operator with semi-separable kernel function, that is, the sum of a Volterra operator and a finite dimensional one. As a result, the Hankel singular values are computed by solving a transcendental equation.