Abstract
The aim of this paper is to apply an algebraic test such as the Routh algorithm, Hurwitz determinant, or any similar method to a certain class of distributed parameter systems with multiple delays. As a first step, an auxiliary system is generated, and then two auxiliary polynomials are formed by using only the coefficients of the characteristic equation of the auxiliary system. The input-output stability of the original system is determined on the basis of the zero distribution of two auxiliary polynomials. An illustrative example is included.
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